Mederski, Jarosław General class of optimal Sobolev inequalities and nonlinear scalar field equations. (English) Zbl 07319420 J. Differ. Equations 281, 411-441 (2021). MSC: 35J91 35J20 46E35 PDF BibTeX XML Cite \textit{J. Mederski}, J. Differ. Equations 281, 411--441 (2021; Zbl 07319420) Full Text: DOI
Das, Ujjal On weighted logarithmic-Sobolev & logarithmic-Hardy inequalities. (English) Zbl 07316107 J. Math. Anal. Appl. 496, No. 1, Article ID 124796, 22 p. (2021). Reviewer: Maria Alessandra Ragusa (Catania) MSC: 26D10 26D15 46E30 46E35 PDF BibTeX XML Cite \textit{U. Das}, J. Math. Anal. Appl. 496, No. 1, Article ID 124796, 22 p. (2021; Zbl 07316107) Full Text: DOI
Aouaoui, Sami; Jlel, Rahma New weighted sharp Trudinger-Moser inequalities defined on the whole euclidean space \(\mathbb{R}^N\) and applications. (English) Zbl 07313184 Calc. Var. Partial Differ. Equ. 60, No. 1, Paper No. 50, 45 p. (2021). MSC: 35A23 26D15 35A15 35B33 35D30 35J20 35J62 46E35 PDF BibTeX XML Cite \textit{S. Aouaoui} and \textit{R. Jlel}, Calc. Var. Partial Differ. Equ. 60, No. 1, Paper No. 50, 45 p. (2021; Zbl 07313184) Full Text: DOI
Bartl, Daniel; Tangpi, Ludovic Functional inequalities for forward and backward diffusions. (English) Zbl 07252726 Electron. J. Probab. 25, Paper No. 94, 22 p. (2020). MSC: 60J60 60G40 28C20 60E15 60H20 91G10 PDF BibTeX XML Cite \textit{D. Bartl} and \textit{L. Tangpi}, Electron. J. Probab. 25, Paper No. 94, 22 p. (2020; Zbl 07252726) Full Text: DOI Euclid
Eldan, Ronen; Ledoux, Michel A dimension-free reverse logarithmic Sobolev inequality for low-complexity functions in Gaussian space. (English) Zbl 1453.60084 Klartag, Bo’az (ed.) et al., Geometric aspects of functional analysis. Israel seminar (GAFA) 2017–2019. Volume 1. Cham: Springer. Lect. Notes Math. 2256, 263-271 (2020). MSC: 60G15 60E15 60B05 PDF BibTeX XML Cite \textit{R. Eldan} and \textit{M. Ledoux}, Lect. Notes Math. 2256, 263--271 (2020; Zbl 1453.60084) Full Text: DOI
Nasibov, Sh. M. A Sobolev interpolation inequality and a Gross-Sobolev logarithmic inequality. (English. Russian original) Zbl 1456.46032 Math. Notes 107, No. 6, 977-983 (2020); translation from Mat. Zametki 107, No. 6, 894-901 (2020). MSC: 46E35 PDF BibTeX XML Cite \textit{Sh. M. Nasibov}, Math. Notes 107, No. 6, 977--983 (2020; Zbl 1456.46032); translation from Mat. Zametki 107, No. 6, 894--901 (2020) Full Text: DOI
Dolbeault, Jean; Esteban, Maria J. Improved interpolation inequalities and stability. (English) Zbl 1437.26018 Adv. Nonlinear Stud. 20, No. 2, 277-291 (2020). MSC: 26D10 46E35 58E35 PDF BibTeX XML Cite \textit{J. Dolbeault} and \textit{M. J. Esteban}, Adv. Nonlinear Stud. 20, No. 2, 277--291 (2020; Zbl 1437.26018) Full Text: DOI
Sambale, Holger; Sinulis, Arthur Logarithmic Sobolev inequalities for finite spin systems and applications. (English) Zbl 07193945 Bernoulli 26, No. 3, 1863-1890 (2020). MSC: 60E15 05C80 60F10 60J10 82B20 PDF BibTeX XML Cite \textit{H. Sambale} and \textit{A. Sinulis}, Bernoulli 26, No. 3, 1863--1890 (2020; Zbl 07193945) Full Text: DOI Euclid
Courtade, Thomas A.; Fathi, Max Stability of the Bakry-Émery theorem on \(\mathbb{R}^n\). (English) Zbl 1437.35005 J. Funct. Anal. 279, No. 2, Article ID 108523, 28 p. (2020). MSC: 35A23 28C20 PDF BibTeX XML Cite \textit{T. A. Courtade} and \textit{M. Fathi}, J. Funct. Anal. 279, No. 2, Article ID 108523, 28 p. (2020; Zbl 1437.35005) Full Text: DOI
Aouaoui, Sami; Jlel, Rahma A new singular Trudinger-Moser type inequality with logarithmic weights and applications. (English) Zbl 1445.46034 Adv. Nonlinear Stud. 20, No. 1, 113-139 (2020). Reviewer: Maria Alessandra Ragusa (Catania) MSC: 46E35 26D15 35A15 35D30 35J20 35J62 PDF BibTeX XML Cite \textit{S. Aouaoui} and \textit{R. Jlel}, Adv. Nonlinear Stud. 20, No. 1, 113--139 (2020; Zbl 1445.46034) Full Text: DOI
Brué, Elia; Nguyen, Quoc-Hung On the Sobolev space of functions with derivative of logarithmic order. (English) Zbl 1437.46038 Adv. Nonlinear Anal. 9, 836-849 (2020). Reviewer: Maria Alessandra Ragusa (Catania) MSC: 46E35 26B05 PDF BibTeX XML Cite \textit{E. Brué} and \textit{Q.-H. Nguyen}, Adv. Nonlinear Anal. 9, 836--849 (2020; Zbl 1437.46038) Full Text: DOI
Machihara, Shuji; Ozawa, Tohru; Wadade, Hidemitsu Remarks on the Hardy type inequalities with remainder terms in the framework of equalities. (English) Zbl 1435.26017 Kato, Keiichi (ed.) et al., Asymptotic analysis for nonlinear dispersive and wave equations. Proceedings of the international conference on asymptotic analysis for nonlinear dispersive and wave equations, Osaka University, Osaka, Japan, September 6–9, 2014. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 81, 247-258 (2019). MSC: 26D10 46E35 PDF BibTeX XML Cite \textit{S. Machihara} et al., Adv. Stud. Pure Math. 81, 247--258 (2019; Zbl 1435.26017) Full Text: DOI Euclid
Schlichting, André; Slowik, Martin Poincaré and logarithmic Sobolev constants for metastable Markov chains via capacitary inequalities. (English) Zbl 1432.60070 Ann. Appl. Probab. 29, No. 6, 3438-3488 (2019). MSC: 60J10 34L15 60J45 82C26 60E15 PDF BibTeX XML Cite \textit{A. Schlichting} and \textit{M. Slowik}, Ann. Appl. Probab. 29, No. 6, 3438--3488 (2019; Zbl 1432.60070) Full Text: DOI Euclid
Cobos, Fernando; Fernández-Cabrera, Luz M. Duality for logarithmic interpolation spaces and applications to Besov spaces. (English) Zbl 1442.46016 Kosek, Marta (ed.), Function spaces XII. Selected papers based on the presentations at the 12th conference, Krakow, Poland, July 9–14, 2018. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 119, 109-122 (2019). MSC: 46B70 46M35 46E35 PDF BibTeX XML Cite \textit{F. Cobos} and \textit{L. M. Fernández-Cabrera}, Banach Cent. Publ. 119, 109--122 (2019; Zbl 1442.46016) Full Text: DOI
Horn, Paul; Lin, Yong; Liu, Shuang; Yau, Shing-Tung Volume doubling, Poincaré inequality and Gaussian heat kernel estimate for non-negatively curved graphs. (English) Zbl 1432.35213 J. Reine Angew. Math. 757, 89-130 (2019). Reviewer: Dian K. Palagachev (Bari) MSC: 35R02 58J35 05C22 35K05 53C23 35A23 35K08 35R01 53C21 PDF BibTeX XML Cite \textit{P. Horn} et al., J. Reine Angew. Math. 757, 89--130 (2019; Zbl 1432.35213) Full Text: DOI
Angiuli, L.; Ferrari, S.; Pallara, D. Gradient estimates for perturbed Ornstein-Uhlenbeck semigroups on infinite-dimensional convex domains. (English) Zbl 1456.28008 J. Evol. Equ. 19, No. 3, 677-715 (2019). MSC: 28C20 35B40 35D30 35K35 35K57 46G12 PDF BibTeX XML Cite \textit{L. Angiuli} et al., J. Evol. Equ. 19, No. 3, 677--715 (2019; Zbl 1456.28008) Full Text: DOI
Nguyen, Van Hoang Remarks on the Moser-Trudinger type inequality with logarithmic weights in dimension \(N\). (English) Zbl 1441.46028 Proc. Am. Math. Soc. 147, No. 12, 5183-5193 (2019). MSC: 46E35 26D10 PDF BibTeX XML Cite \textit{V. H. Nguyen}, Proc. Am. Math. Soc. 147, No. 12, 5183--5193 (2019; Zbl 1441.46028) Full Text: DOI
Hauer, Daniel; Mazón, José M. Kurdyka-Łojasiewicz-Simon inequality for gradient flows in metric spaces. (English) Zbl 1425.49023 Trans. Am. Math. Soc. 372, No. 7, 4917-4976 (2019). MSC: 49Q20 49J52 39B62 35K90 58J35 PDF BibTeX XML Cite \textit{D. Hauer} and \textit{J. M. Mazón}, Trans. Am. Math. Soc. 372, No. 7, 4917--4976 (2019; Zbl 1425.49023) Full Text: DOI
Feo, Filomena; Paderni, Gabriella Anisotropic logarithmic Sobolev inequality with a Gaussian weight and its applications. (English) Zbl 1434.46020 Electron. J. Differ. Equ. 2019, Paper No. 89, 15 p. (2019). MSC: 46E35 46E30 35J99 PDF BibTeX XML Cite \textit{F. Feo} and \textit{G. Paderni}, Electron. J. Differ. Equ. 2019, Paper No. 89, 15 p. (2019; Zbl 1434.46020) Full Text: Link
Wang, Zhi-Qiang; Zhang, Chengxiang Convergence from power-law to logarithm-law in nonlinear scalar field equations. (English) Zbl 1406.35372 Arch. Ration. Mech. Anal. 231, No. 1, 45-61 (2019). MSC: 35Q55 35B44 81Q05 42B35 26D10 PDF BibTeX XML Cite \textit{Z.-Q. Wang} and \textit{C. Zhang}, Arch. Ration. Mech. Anal. 231, No. 1, 45--61 (2019; Zbl 1406.35372) Full Text: DOI
Hafidi, Ali; Ammi, Moulay Rchid Sidi; Agarwal, Praveen A family of integral inequalities on the interval \([-1,1]\). (English) Zbl 1414.26033 Agarwal, Praveen (ed.) et al., Advances in mathematical inequalities and applications. Singapore: Birkhäuser. Trends Math., 323-331 (2018). MSC: 26D10 39B62 39B72 60J25 PDF BibTeX XML Cite \textit{A. Hafidi} et al., in: Advances in mathematical inequalities and applications. Singapore: Birkhäuser. 323--331 (2018; Zbl 1414.26033) Full Text: DOI
Miclo, Laurent Some drawbacks of finite modified logarithmic Sobolev inequalities. (English) Zbl 1428.60111 Math. Scand. 123, No. 1, 147-159 (2018). MSC: 60J35 46E40 PDF BibTeX XML Cite \textit{L. Miclo}, Math. Scand. 123, No. 1, 147--159 (2018; Zbl 1428.60111) Full Text: DOI
Lam, Nguyen; Lu, Guozhen Weighted Moser-Onofri-Beckner and logarithmic Sobolev inequalities. (English) Zbl 1392.26029 J. Geom. Anal. 28, No. 2, 1687-1715 (2018). MSC: 26D10 46E35 PDF BibTeX XML Cite \textit{N. Lam} and \textit{G. Lu}, J. Geom. Anal. 28, No. 2, 1687--1715 (2018; Zbl 1392.26029) Full Text: DOI
Eldredge, Nathaniel; Gross, Leonard; Saloff-Coste, Laurent Strong hypercontractivity and logarithmic Sobolev inequalities on stratified complex Lie groups. (English) Zbl 1394.35532 Trans. Am. Math. Soc. 370, No. 9, 6651-6683 (2018). Reviewer: Petar Popivanov (Sofia) MSC: 35R03 35H20 43A15 32W30 PDF BibTeX XML Cite \textit{N. Eldredge} et al., Trans. Am. Math. Soc. 370, No. 9, 6651--6683 (2018; Zbl 1394.35532) Full Text: DOI
Feki, Imed; Massoudi, Ameni; Nfata, Houda A generalization to the Hardy-Sobolev spaces \(H^{k,p}\) of an \(L^p\)-\(L^1\) logarithmic type estimate. (English) Zbl 06890379 Czech. Math. J. 68, No. 2, 387-414 (2018). MSC: 30H10 30C40 35R30 PDF BibTeX XML Cite \textit{I. Feki} et al., Czech. Math. J. 68, No. 2, 387--414 (2018; Zbl 06890379) Full Text: DOI
Eldredge, Nathaniel Strong hypercontractivity and strong logarithmic Sobolev inequalities for log-subharmonic functions on stratified Lie groups. (English) Zbl 1382.35084 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 168, 1-26 (2018). MSC: 35H10 53C17 22E25 35R03 31C05 PDF BibTeX XML Cite \textit{N. Eldredge}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 168, 1--26 (2018; Zbl 1382.35084) Full Text: DOI
Haroske, Dorothee D.; Schmeisser, Hans-Jürgen Gagliardo-Nirenberg inequalities for spaces with dominating mixed derivatives. (English) Zbl 1387.46033 Jain, Pankaj (ed.) et al., Function spaces and inequalities, New Delhi, India, December 11–15, 2015. Singapore: Springer (ISBN 978-981-10-6118-9/hbk; 978-981-10-6119-6/ebook). Springer Proceedings in Mathematics & Statistics 206, 117-135 (2017). MSC: 46E35 PDF BibTeX XML Cite \textit{D. D. Haroske} and \textit{H.-J. Schmeisser}, in: Function spaces and inequalities, New Delhi, India, December 11--15, 2015. Singapore: Springer. 117--135 (2017; Zbl 1387.46033) Full Text: DOI
Cipriani, Fabio Logarithmic Sobolev inequalities for an ideal Bose gas. (English) Zbl 1374.82034 Michelangeli, Alessandro (ed.) et al., Advances in quantum mechanics. Contemporary trends and open problems. Cham: Springer (ISBN 978-3-319-58903-9/hbk; 978-3-319-58904-6/ebook). Springer INdAM Series 18, 121-133 (2017). MSC: 82D05 82B30 46E35 47A30 PDF BibTeX XML Cite \textit{F. Cipriani}, Springer INdAM Ser. 18, 121--133 (2017; Zbl 1374.82034) Full Text: DOI
Domínguez, Ó. Sharp embeddings of Besov spaces with logarithmic smoothness in sub-critical cases. (English) Zbl 1389.46031 Anal. Math. 43, No. 2, 219-240 (2017). Reviewer: Hans Triebel (Jena) MSC: 46E35 46E30 PDF BibTeX XML Cite \textit{Ó. Domínguez}, Anal. Math. 43, No. 2, 219--240 (2017; Zbl 1389.46031) Full Text: DOI
Gozlan, Nathael; Roberto, Cyril; Samson, Paul-Marie; Tetali, Prasad Kantorovich duality for general transport costs and applications. (English) Zbl 1406.60032 J. Funct. Anal. 273, No. 11, 3327-3405 (2017). MSC: 60E15 32F32 26D10 49Q20 PDF BibTeX XML Cite \textit{N. Gozlan} et al., J. Funct. Anal. 273, No. 11, 3327--3405 (2017; Zbl 1406.60032) Full Text: DOI
Fougères, Pierre; Gentil, Ivan; Zegarliński, Boguslaw Solution of a class of reaction-diffusion systems via logarithmic Sobolev inequality. (English. French summary) Zbl 06778771 Ann. Math. Blaise Pascal 24, No. 1, 1-53 (2017). MSC: 35K51 28B10 35A23 35K57 60J35 35Q92 35R15 PDF BibTeX XML Cite \textit{P. Fougères} et al., Ann. Math. Blaise Pascal 24, No. 1, 1--53 (2017; Zbl 06778771) Full Text: DOI Link
Paouris, Grigoris; Valettas, Petros; Zinn, Joel Random version of Dvoretzky’s theorem in \(\ell_p^n\). (English) Zbl 1397.46011 Stochastic Processes Appl. 127, No. 10, 3187-3227 (2017). Reviewer: Joscha Prochno (Hull) MSC: 46B06 46B07 46B09 52A21 52A23 PDF BibTeX XML Cite \textit{G. Paouris} et al., Stochastic Processes Appl. 127, No. 10, 3187--3227 (2017; Zbl 1397.46011) Full Text: DOI
Lototsky, S. V. Small ball probabilities for the infinite-dimensional Ornstein-Uhlenbeck process in Sobolev spaces. (English) Zbl 1370.60008 Stoch. Partial Differ. Equ., Anal. Comput. 5, No. 2, 192-219 (2017). MSC: 60B11 60H15 60J60 60G15 PDF BibTeX XML Cite \textit{S. V. Lototsky}, Stoch. Partial Differ. Equ., Anal. Comput. 5, No. 2, 192--219 (2017; Zbl 1370.60008) Full Text: DOI
Erbar, Matthias; Henderson, Christopher; Menz, Georg; Tetali, Prasad Ricci curvature bounds for weakly interacting Markov chains. (English) Zbl 1362.60084 Electron. J. Probab. 22, Paper No. 40, 23 p. (2017). MSC: 60K35 60J10 60G50 60B15 PDF BibTeX XML Cite \textit{M. Erbar} et al., Electron. J. Probab. 22, Paper No. 40, 23 p. (2017; Zbl 1362.60084) Full Text: DOI Euclid arXiv
Nguyen, Hoai-Minh; Squassina, Marco Logarithmic Sobolev inequality revisited. (L’inégalité de Sobolev logarithmique revisitée.) (English. French summary) Zbl 1373.46027 C. R., Math., Acad. Sci. Paris 355, No. 4, 447-451 (2017). MSC: 46E35 26D10 26D20 PDF BibTeX XML Cite \textit{H.-M. Nguyen} and \textit{M. Squassina}, C. R., Math., Acad. Sci. Paris 355, No. 4, 447--451 (2017; Zbl 1373.46027) Full Text: DOI arXiv
Fathi, Max; Indrei, Emanuel; Ledoux, Michel Quantitative logarithmic Sobolev inequalities and stability estimates. (English) Zbl 1355.60094 Discrete Contin. Dyn. Syst. 36, No. 12, 6835-6853 (2016). MSC: 60H99 60J60 49Q20 46E30 PDF BibTeX XML Cite \textit{M. Fathi} et al., Discrete Contin. Dyn. Syst. 36, No. 12, 6835--6853 (2016; Zbl 1355.60094) Full Text: DOI arXiv
Cobos, Fernando; Domínguez, Óscar On the relationship between two kinds of Besov spaces with smoothness near zero and some other applications of limiting interpolation. (English) Zbl 1365.46027 J. Fourier Anal. Appl. 22, No. 5, 1174-1191 (2016). MSC: 46E35 46M35 46E30 42A16 PDF BibTeX XML Cite \textit{F. Cobos} and \textit{Ó. Domínguez}, J. Fourier Anal. Appl. 22, No. 5, 1174--1191 (2016; Zbl 1365.46027) Full Text: DOI
Cobos, Fernando; Domínguez, Óscar On Besov spaces modelled on Zygmund spaces. (English) Zbl 1355.46037 J. Approx. Theory 211, 61-77 (2016). Reviewer: Hans Triebel (Jena) MSC: 46E35 46B70 PDF BibTeX XML Cite \textit{F. Cobos} and \textit{Ó. Domínguez}, J. Approx. Theory 211, 61--77 (2016; Zbl 1355.46037) Full Text: DOI
Ruzhansky, Michael; Tikhonov, Sergey Some problems in Fourier analysis and approximation theory. (English) Zbl 1343.42001 Ruzhansky, Michael (ed.) et al., Methods of Fourier analysis and approximation theory. Collected papers based on the presentations at the 9th ISAAC congress, section “Approximation theory and Fourier analysis”, Crakow, Poland, August 5–9, 2013 and at the conference on Fourier analysis and approximation theory in the CRM, Barcelona, Spain, November 4–8, 2013. Basel: Birkhäuser/Springer (ISBN 978-3-319-27465-2/hbk; 978-3-319-27466-9/ebook). Applied and Numerical Harmonic Analysis, 1-19 (2016). MSC: 42-02 41-02 49-02 42B20 42B10 42C15 42C10 42A99 42A10 41A17 49J40 49M25 32A35 32A22 46E35 26B05 65C05 PDF BibTeX XML Cite \textit{M. Ruzhansky} and \textit{S. Tikhonov}, in: Methods of Fourier analysis and approximation theory. Collected papers based on the presentations at the 9th ISAAC congress, section ``Approximation theory and Fourier analysis'', Crakow, Poland, August 5--9, 2013 and at the conference on Fourier analysis and approximation theory in the CRM, Barcelona, Spain, November 4--8, 2013. Basel: Birkhäuser/Springer. 1--19 (2016; Zbl 1343.42001) Full Text: DOI
Van Hoang, Nguyen Some trace Hardy type inequalities and trace Hardy-Sobolev-Maz’ya type inequalities. (English) Zbl 1350.26030 J. Funct. Anal. 270, No. 11, 4117-4151 (2016). Reviewer: József Sándor (Cluj-Napoca) MSC: 26D10 46E35 PDF BibTeX XML Cite \textit{N. Van Hoang}, J. Funct. Anal. 270, No. 11, 4117--4151 (2016; Zbl 1350.26030) Full Text: DOI
Haddad, J.; Jiménez, C. H.; Montenegro, M. Sharp affine Sobolev type inequalities via the \(L_{p}\) Busemann-Petty centroid inequality. (English) Zbl 1356.46030 J. Funct. Anal. 271, No. 2, 454-473 (2016). MSC: 46E35 52A40 51M16 PDF BibTeX XML Cite \textit{J. Haddad} et al., J. Funct. Anal. 271, No. 2, 454--473 (2016; Zbl 1356.46030) Full Text: DOI
Cobos, Fernando; Domínguez, Óscar; Triebel, Hans Characterizations of logarithmic Besov spaces in terms of differences, Fourier-analytical decompositions, wavelets and semi-groups. (English) Zbl 1356.46026 J. Funct. Anal. 270, No. 12, 4386-4425 (2016). MSC: 46E35 46M35 42C40 42B25 PDF BibTeX XML Cite \textit{F. Cobos} et al., J. Funct. Anal. 270, No. 12, 4386--4425 (2016; Zbl 1356.46026) Full Text: DOI
Dolbeault, Jean; Toscani, Giuseppe Stability results for logarithmic Sobolev and Gagliardo-Nirenberg inequalities. (English) Zbl 1355.46038 Int. Math. Res. Not. 2016, No. 2, 473-498 (2016). MSC: 46E35 PDF BibTeX XML Cite \textit{J. Dolbeault} and \textit{G. Toscani}, Int. Math. Res. Not. 2016, No. 2, 473--498 (2016; Zbl 1355.46038) Full Text: DOI
Fang, Shouwen; Zheng, Tao The (logarithmic) Sobolev inequalities along geometric flow and applications. (English) Zbl 1328.53084 J. Math. Anal. Appl. 434, No. 1, 729-764 (2016). MSC: 53C44 53C50 46E35 PDF BibTeX XML Cite \textit{S. Fang} and \textit{T. Zheng}, J. Math. Anal. Appl. 434, No. 1, 729--764 (2016; Zbl 1328.53084) Full Text: DOI arXiv
Machihara, Shuji; Ozawa, Tohru; Wadade, Hidemitsu Scaling invariant Hardy inequalities of multiple logarithmic type on the whole space. (English) Zbl 1351.46034 J. Inequal. Appl. 2015, Paper No. 281, 13 p. (2015). MSC: 46E35 26D10 PDF BibTeX XML Cite \textit{S. Machihara} et al., J. Inequal. Appl. 2015, Paper No. 281, 13 p. (2015; Zbl 1351.46034) Full Text: DOI
Graczyk, Piotr; Kemp, Todd; Loeb, Jean-Jacques Strong logarithmic Sobolev inequalities for log-subharmonic functions. (English) Zbl 1329.47039 Can. J. Math. 67, No. 6, 1384-1410 (2015). MSC: 47D06 60E15 46E35 31B05 PDF BibTeX XML Cite \textit{P. Graczyk} et al., Can. J. Math. 67, No. 6, 1384--1410 (2015; Zbl 1329.47039) Full Text: DOI arXiv
Aida, Shigeki Asymptotics of spectral gaps on loop spaces over a class of Riemannian manifolds. (English) Zbl 1349.58016 J. Funct. Anal. 269, No. 12, 3714-3764 (2015). Reviewer: Jacques Franchi (Strasbourg) MSC: 58J65 47A11 60H07 55P35 PDF BibTeX XML Cite \textit{S. Aida}, J. Funct. Anal. 269, No. 12, 3714--3764 (2015; Zbl 1349.58016) Full Text: DOI arXiv
Dolbeault, Jean; Esteban, Maria J.; Filippas, Stathis; Tertikas, Achilles Rigidity results with applications to best constants and symmetry of Caffarelli-Kohn-Nirenberg and logarithmic Hardy inequalities. (English) Zbl 1336.26023 Calc. Var. Partial Differ. Equ. 54, No. 3, 2465-2481 (2015). Reviewer: Javier Soria (Barcelona) MSC: 26D10 46E35 35J20 49J40 PDF BibTeX XML Cite \textit{J. Dolbeault} et al., Calc. Var. Partial Differ. Equ. 54, No. 3, 2465--2481 (2015; Zbl 1336.26023) Full Text: DOI
Fujita, Yasuhiro A supplementary proof of \(L^p\)-logarithmic Sobolev inequality. (English. French summary) Zbl 1334.46030 Ann. Fac. Sci. Toulouse, Math. (6) 24, No. 1, 119-132 (2015). MSC: 46E35 26D10 35J20 PDF BibTeX XML Cite \textit{Y. Fujita}, Ann. Fac. Sci. Toulouse, Math. (6) 24, No. 1, 119--132 (2015; Zbl 1334.46030) Full Text: DOI Link
Cobos, Fernando; Domínguez, Óscar On Besov spaces of logarithmic smoothness and Lipschitz spaces. (English) Zbl 1320.46028 J. Math. Anal. Appl. 425, No. 1, 71-84 (2015). Reviewer: Hans Triebel (Jena) MSC: 46E35 46M35 PDF BibTeX XML Cite \textit{F. Cobos} and \textit{Ó. Domínguez}, J. Math. Anal. Appl. 425, No. 1, 71--84 (2015; Zbl 1320.46028) Full Text: DOI
Cattiaux, Patrick; Guillin, Arnaud Functional inequalities via Lyapunov conditions. (English) Zbl 1338.46043 Ollivier, Yann (ed.) et al., Optimal transport. Theory and applications. Proceedings of the summer school ‘Optimal transportation: theory and applications’, Fourier Institute, Grenoble, France. Cambridge: Cambridge University Press (ISBN 978-1-107-68949-7/pbk; 978-1-107-29729-6/ebook). London Mathematical Society Lecture Note Series 413, 274-287 (2014). MSC: 46E35 26D10 PDF BibTeX XML Cite \textit{P. Cattiaux} and \textit{A. Guillin}, Lond. Math. Soc. Lect. Note Ser. 413, 274--287 (2014; Zbl 1338.46043)
Gentil, Ivan Logarithmic Sobolev inequality for diffusion semigroups. (English) Zbl 1338.46047 Ollivier, Yann (ed.) et al., Optimal transport. Theory and applications. Proceedings of the summer school ‘Optimal transportation: theory and applications’, Fourier Institute, Grenoble, France. Cambridge: Cambridge University Press (ISBN 978-1-107-68949-7/pbk; 978-1-107-29729-6/ebook). London Mathematical Society Lecture Note Series 413, 41-57 (2014). MSC: 46E35 47D07 60J60 PDF BibTeX XML Cite \textit{I. Gentil}, Lond. Math. Soc. Lect. Note Ser. 413, 41--57 (2014; Zbl 1338.46047)
Wenzke, Diana; Lykina, Valeriya; Pickenhain, Sabine State and time transformations of infinite horizon optimal control problems. (English) Zbl 1329.49007 Wolansky, Gershon (ed.) et al., Variational and optimal control problems on unbounded domains. A workshop in memory of Arie Leizarowitz, Haifa, Israel, January 9–12, 2012. Proceedings. Providence, RI: American Mathematical Society (AMS); Ramat Gan: Bar-Ilan University (ISBN 978-1-4704-1077-3/hbk; 978-1-4704-1713-0/ebook). Contemporary Mathematics 619. Israel Mathematical Conference Proceedings, 189-208 (2014). MSC: 49J15 49K15 49K30 PDF BibTeX XML Cite \textit{D. Wenzke} et al., Contemp. Math. 619, 189--208 (2014; Zbl 1329.49007)
Dolbeault, Jean; Esteban, Maria J.; Kowalczyk, Michal; Loss, Michael Sharp interpolation inequalities on the sphere: new methods and consequences. (English) Zbl 1329.35021 Ciarlet, Philippe G. (ed.) et al., Partial differential equations. Theory, control and approximation. In honor of the scientific heritage of Jacques-Louis Lions. Selected papers based on the presentations at the international conference on partial differential equations: theory, control and approximation, Shanghai, China, May 28 – June 1, 2012. Berlin: Springer (ISBN 978-3-642-41400-8/hbk; 978-3-642-41401-5/ebook). 225-242 (2014). Reviewer: Przemysław Górka (Warsaw) MSC: 35A23 46E35 PDF BibTeX XML Cite \textit{J. Dolbeault} et al., in: Partial differential equations. Theory, control and approximation. In honor of the scientific heritage of Jacques-Louis Lions. Selected papers based on the presentations at the international conference on partial differential equations: theory, control and approximation, Shanghai, China, May 28 -- June 1, 2012. Berlin: Springer. 225--242 (2014; Zbl 1329.35021) Full Text: DOI
Ye, Rugang The logarithmic Sobolev inequality along the Ricci flow: the case \(\lambda _0(g_0)=0\). (English) Zbl 1316.53080 Commun. Math. Stat. 2, No. 3-4, 363-368 (2014). MSC: 53C44 35K55 46E35 PDF BibTeX XML Cite \textit{R. Ye}, Commun. Math. Stat. 2, No. 3--4, 363--368 (2014; Zbl 1316.53080) Full Text: DOI arXiv
Machihara, Shuji; Ozawa, Tohru; Wadade, Hidemitsu On the Hardy type inequality in critical Sobolev-Lorentz spaces. (English) Zbl 1327.46037 RIMS Kôkyûroku Bessatsu B49, 103-118 (2014). MSC: 46E35 26D10 PDF BibTeX XML Cite \textit{S. Machihara} et al., RIMS Kôkyûroku Bessatsu B49, 103--118 (2014; Zbl 1327.46037)
Stasyuk, S. A. Approximating characteristics of the analogs of Besov classes with logarithmic smoothness. (English. Ukrainian original) Zbl 1320.42006 Ukr. Math. J. 66, No. 4, 553-560 (2014); translation from Ukr. Mat. Zh. 66, No. 4, 493-499 (2014). MSC: 42B05 46E35 PDF BibTeX XML Cite \textit{S. A. Stasyuk}, Ukr. Math. J. 66, No. 4, 553--560 (2014; Zbl 1320.42006); translation from Ukr. Mat. Zh. 66, No. 4, 493--499 (2014) Full Text: DOI
Chaabane, Slim; Feki, Imed Pointwise inequalities of logarithmic type in Hardy-Hölder spaces. (English) Zbl 1340.30193 Czech. Math. J. 64, No. 2, 351-363 (2014). MSC: 30H05 30H10 30C40 PDF BibTeX XML Cite \textit{S. Chaabane} and \textit{I. Feki}, Czech. Math. J. 64, No. 2, 351--363 (2014; Zbl 1340.30193) Full Text: DOI
Indrei, Emanuel; Marcon, Diego A quantitative log-Sobolev inequality for a two parameter family of functions. (English) Zbl 1317.46023 Int. Math. Res. Not. 2014, No. 20, 5563-5580 (2014). MSC: 46E35 PDF BibTeX XML Cite \textit{E. Indrei} and \textit{D. Marcon}, Int. Math. Res. Not. 2014, No. 20, 5563--5580 (2014; Zbl 1317.46023) Full Text: DOI arXiv
Cobos, Fernando; Domínguez, Óscar Embeddings of Besov spaces of logarithmic smoothness. (English) Zbl 1325.46039 Stud. Math. 223, No. 3, 193-204 (2014). MSC: 46E35 41A65 46B70 PDF BibTeX XML Cite \textit{F. Cobos} and \textit{Ó. Domínguez}, Stud. Math. 223, No. 3, 193--204 (2014; Zbl 1325.46039) Full Text: DOI
Bobkov, S. G.; Gozlan, N.; Roberto, C.; Samson, P.-M. Bounds on the deficit in the logarithmic Sobolev inequality. (English) Zbl 1301.26018 J. Funct. Anal. 267, No. 11, 4110-4138 (2014). MSC: 26D10 26D15 46E35 PDF BibTeX XML Cite \textit{S. G. Bobkov} et al., J. Funct. Anal. 267, No. 11, 4110--4138 (2014; Zbl 1301.26018) Full Text: DOI
Dolbeault, Jean; Esteban, Maria J.; Laptev, Ari; Loss, Michael One-dimensional Gagliardo-Nirenberg-Sobolev inequalities: remarks on duality and flows. (English) Zbl 1320.26017 J. Lond. Math. Soc., II. Ser. 90, No. 2, 525-550 (2014). Reviewer: Petr Gurka (Praha) MSC: 26D10 46E35 35K55 PDF BibTeX XML Cite \textit{J. Dolbeault} et al., J. Lond. Math. Soc., II. Ser. 90, No. 2, 525--550 (2014; Zbl 1320.26017) Full Text: DOI arXiv
Feki, Imed; Nfata, Houda On \(L^p\)-\(L^1\) estimates of logarithmic-type in Hardy-Sobolev spaces of the disk and the annulus. (English) Zbl 1293.30073 J. Math. Anal. Appl. 419, No. 2, 1248-1260 (2014). MSC: 30E10 30H99 46E35 65E05 PDF BibTeX XML Cite \textit{I. Feki} and \textit{H. Nfata}, J. Math. Anal. Appl. 419, No. 2, 1248--1260 (2014; Zbl 1293.30073) Full Text: DOI
Gozlan, Nathael; Roberto, Cyril; Samson, Paul-Marie Hamilton Jacobi equations on metric spaces and transport entropy inequalities. (English) Zbl 1296.60040 Rev. Mat. Iberoam. 30, No. 1, 133-163 (2014). MSC: 60E15 47H20 PDF BibTeX XML Cite \textit{N. Gozlan} et al., Rev. Mat. Iberoam. 30, No. 1, 133--163 (2014; Zbl 1296.60040) Full Text: DOI arXiv
Dolbeault, Jean; Esteban, Maria J.; Kowalczyk, Michał; Loss, Michael Improved interpolation inequalities on the sphere. (English) Zbl 1290.26022 Discrete Contin. Dyn. Syst., Ser. S 7, No. 4, 695-724 (2014). MSC: 26D10 46E35 58E35 PDF BibTeX XML Cite \textit{J. Dolbeault} et al., Discrete Contin. Dyn. Syst., Ser. S 7, No. 4, 695--724 (2014; Zbl 1290.26022) Full Text: DOI
Daletskii, Alexei; Ul Haq, Ahsan Logarithmic Sobolev inequality for a class of measures on configuration spaces. (English) Zbl 1313.46050 Methods Funct. Anal. Topol. 19, No. 4, 293-300 (2013). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 46G99 60G55 70F45 PDF BibTeX XML Cite \textit{A. Daletskii} and \textit{A. Ul Haq}, Methods Funct. Anal. Topol. 19, No. 4, 293--300 (2013; Zbl 1313.46050)
Machihara, Shuji; Ozawa, Tohru; Wadade, Hidemitsu Generalizations of the logarithmic Hardy inequality in critical Sobolev-Lorentz spaces. (English) Zbl 1297.46028 J. Inequal. Appl. 2013, Paper No. 381, 14 p. (2013). MSC: 46E35 26D10 PDF BibTeX XML Cite \textit{S. Machihara} et al., J. Inequal. Appl. 2013, Paper No. 381, 14 p. (2013; Zbl 1297.46028) Full Text: DOI
Gressman, Philip T. Fractional Poincaré and logarithmic Sobolev inequalities for measure spaces. (English) Zbl 1282.26024 J. Funct. Anal. 265, No. 6, 867-889 (2013). MSC: 26D10 26A33 28A33 PDF BibTeX XML Cite \textit{P. T. Gressman}, J. Funct. Anal. 265, No. 6, 867--889 (2013; Zbl 1282.26024) Full Text: DOI
Feki, Imed Estimates in the Hardy-Sobolev space of the annulus and stability result. (English) Zbl 1289.30231 Czech. Math. J. 63, No. 2, 481-495 (2013). MSC: 30H10 30C40 35R30 PDF BibTeX XML Cite \textit{I. Feki}, Czech. Math. J. 63, No. 2, 481--495 (2013; Zbl 1289.30231) Full Text: DOI arXiv
Feo, Filomena; Posteraro, Maria Rosaria Logarithmic Sobolev trace inequalities. (English) Zbl 1286.46034 Asian J. Math. 17, No. 3, 569-582 (2013). MSC: 46E35 46E30 PDF BibTeX XML Cite \textit{F. Feo} and \textit{M. R. Posteraro}, Asian J. Math. 17, No. 3, 569--582 (2013; Zbl 1286.46034) Full Text: DOI Euclid
Gozlan, N.; Roberto, C.; Samson, P.-M. Characterization of Talagrand’s transport-entropy inequalities in metric spaces. (English) Zbl 1283.60029 Ann. Probab. 41, No. 5, 3112-3139 (2013). Reviewer: Ludger Rüschendorf (Freiburg i. Br.) MSC: 60E15 26D10 PDF BibTeX XML Cite \textit{N. Gozlan} et al., Ann. Probab. 41, No. 5, 3112--3139 (2013; Zbl 1283.60029) Full Text: DOI Euclid arXiv
Krbec, M.; Schmeisser, H.-J. On dimension-free integrability improvement for Sobolev embeddings. (English) Zbl 1286.46039 Eurasian Math. J. 4, No. 1, 65-75 (2013). MSC: 46E35 46E30 PDF BibTeX XML Cite \textit{M. Krbec} and \textit{H. J. Schmeisser}, Eurasian Math. J. 4, No. 1, 65--75 (2013; Zbl 1286.46039) Full Text: MNR
Menz, Georg; Otto, Felix Uniform logarithmic Sobolev inequalities for conservative spin systems with super-quadratic single-site potential. (English) Zbl 1282.60096 Ann. Probab. 41, No. 3B, 2182-2224 (2013). Reviewer: Piotr Garbaczewski (Opole) MSC: 60K35 60J25 82B21 82B44 PDF BibTeX XML Cite \textit{G. Menz} and \textit{F. Otto}, Ann. Probab. 41, No. 3B, 2182--2224 (2013; Zbl 1282.60096) Full Text: DOI Euclid arXiv
Graham, Carl; Talay, Denis Stochastic simulation and Monte Carlo methods. Mathematical foundations of stochastic simulation. (English) Zbl 1281.65003 Stochastic Modelling and Applied Probability 68. Berlin: Springer (ISBN 978-3-642-39362-4/hbk; 978-3-642-39363-1/ebook). xvi, 260 p. (2013). Reviewer: Vassil Grozdanov (Blagoevgrad) MSC: 65-02 65C05 65C30 65C20 65C40 65C60 00A72 11K45 60K25 82C80 91G60 60H15 60H35 35R60 60H30 60J05 60J22 PDF BibTeX XML Cite \textit{C. Graham} and \textit{D. Talay}, Stochastic simulation and Monte Carlo methods. Mathematical foundations of stochastic simulation. Berlin: Springer (2013; Zbl 1281.65003) Full Text: DOI
Dolbeault, Jean; Esteban, Maria J.; Kowalczyk, Michal; Loss, Michael Sharp interpolation inequalities on the sphere: new methods and consequences. (English) Zbl 1263.26029 Chin. Ann. Math., Ser. B 34, No. 1, 99-112 (2013). MSC: 26D10 46E35 58E35 PDF BibTeX XML Cite \textit{J. Dolbeault} et al., Chin. Ann. Math., Ser. B 34, No. 1, 99--112 (2013; Zbl 1263.26029) Full Text: DOI arXiv
Abakumov, Evgeny; Beaulieu, Anne; Blanchard, François; Fradelizi, Matthieu; Gozlan, Nathaël; Host, Bernard; Jeantheau, Thiery; Kobylanski, Magdalena; Lecué, Guillaume; Martinez, Miguel; Meyer, Mathieu; Mourgues, Marie-Hélène; Portal, Frédéric; Ribaud, Francis; Roberto, Cyril; Romon, Pascal; Roth, Julien; Samson, Paul-Marie; Vandekerkhove, Pierre; Youssfi, Abdellah The logarithmic Sobolev constant of the lamplighter. (English) Zbl 1266.60124 J. Math. Anal. Appl. 399, No. 2, 576-585 (2013). Reviewer: Ove Frank (Stockholm) MSC: 60J10 05C81 PDF BibTeX XML Cite \textit{E. Abakumov} et al., J. Math. Anal. Appl. 399, No. 2, 576--585 (2013; Zbl 1266.60124) Full Text: DOI arXiv
Marton, Katalin An inequality for relative entropy and logarithmic Sobolev inequalities in Euclidean spaces. (English) Zbl 1260.60030 J. Funct. Anal. 264, No. 1, 34-61 (2013). MSC: 60E15 46E35 26D10 26D15 PDF BibTeX XML Cite \textit{K. Marton}, J. Funct. Anal. 264, No. 1, 34--61 (2013; Zbl 1260.60030) Full Text: DOI arXiv
Cordero-Erausquin, Dario; Ledoux, Michel Hypercontractive measures, Talagrand’s inequality, and influences. (English) Zbl 1280.60018 Klartag, Bo’az (ed.) et al., Geometric aspects of functional analysis. Proceedings of the Israel seminar (GFA) 2006-2010. Berlin: Springer (ISBN 978-3-642-29848-6/pbk; 978-3-642-29849-3/ebook). Lecture Notes in Mathematics 2050, 169-189 (2012). Reviewer: Wilfried Hazod (Dortmund) MSC: 60E15 28A12 60J25 60E05 PDF BibTeX XML Cite \textit{D. Cordero-Erausquin} and \textit{M. Ledoux}, Lect. Notes Math. 2050, 169--189 (2012; Zbl 1280.60018) Full Text: DOI arXiv
Ibrahim, H. A critical parabolic Sobolev embedding via Littlewood-Paley decomposition. (English) Zbl 1266.42059 Int. Math. Forum 7, No. 33-36, 1705-1724 (2012). Reviewer: Koichi Saka (Akita) MSC: 42B35 39B05 42B37 46E35 PDF BibTeX XML Cite \textit{H. Ibrahim}, Int. Math. Forum 7, No. 33--36, 1705--1724 (2012; Zbl 1266.42059) Full Text: Link
Jerez-Hanckes, Carlos; Nédélec, Jean-Claude Explicit variational forms for the inverses of integral logarithmic operators over an interval. (English) Zbl 1255.45008 SIAM J. Math. Anal. 44, No. 4, 2666-2694 (2012). Reviewer: Kun Soo Chang (Seoul) MSC: 45P05 65N38 31A10 46E35 45E10 PDF BibTeX XML Cite \textit{C. Jerez-Hanckes} and \textit{J.-C. Nédélec}, SIAM J. Math. Anal. 44, No. 4, 2666--2694 (2012; Zbl 1255.45008) Full Text: DOI
Feki, I.; Nfata, H.; Wielonsky, F. Optimal logarithmic estimates in the Hardy-Sobolev space of the disk and stability results. (English) Zbl 1250.30051 J. Math. Anal. Appl. 395, No. 1, 366-375 (2012). Reviewer: Brett Wick (Atlanta) MSC: 30H10 30E05 46E35 PDF BibTeX XML Cite \textit{I. Feki} et al., J. Math. Anal. Appl. 395, No. 1, 366--375 (2012; Zbl 1250.30051) Full Text: DOI
Yang, Q. X.; Zhu, Y. P. Characterization of multiplier spaces by wavelets and logarithmic Morrey spaces. (English) Zbl 1252.42015 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 13, 4920-4935 (2012). Reviewer: Javier Soria (Barcelona) MSC: 42B15 46E35 PDF BibTeX XML Cite \textit{Q. X. Yang} and \textit{Y. P. Zhu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 13, 4920--4935 (2012; Zbl 1252.42015) Full Text: DOI
Gurka, Petr; Lang, Jan Double-exponential embeddings of logarithmic spaces. (English) Zbl 1239.46028 Math. Nachr. 285, No. 2-3, 245-251 (2012). Reviewer: Jiří Rákosník (Praha) MSC: 46E35 46E30 26D10 PDF BibTeX XML Cite \textit{P. Gurka} and \textit{J. Lang}, Math. Nachr. 285, No. 2--3, 245--251 (2012; Zbl 1239.46028) Full Text: DOI
Haberl, Christoph; Schuster, Franz E.; Xiao, Jie An asymmetric affine Pólya-Szegő principle. (English) Zbl 1241.26014 Math. Ann. 352, No. 3, 517-542 (2012). Reviewer: Jiří Rákosník (Praha) MSC: 26D10 46E35 PDF BibTeX XML Cite \textit{C. Haberl} et al., Math. Ann. 352, No. 3, 517--542 (2012; Zbl 1241.26014) Full Text: DOI arXiv
Morii, Kei; Sawano, Yoshihiro Lower bound for sharp constants of Brezis-Gallouët-Wainger type inequalities in higher-order critical Sobolev spaces on bounded domains. (English) Zbl 1247.46028 Commun. Math. Anal. 12, No. 1, 1-16 (2012). MSC: 46E35 PDF BibTeX XML Cite \textit{K. Morii} and \textit{Y. Sawano}, Commun. Math. Anal. 12, No. 1, 1--16 (2012; Zbl 1247.46028) Full Text: Euclid
Albeverio, Sergio; Kawabi, Hiroshi; Röckner, Michael Strong uniqueness for both Dirichlet operators and stochastic dynamics to Gibbs measures on a path space with exponential interactions. (English) Zbl 1256.47027 J. Funct. Anal. 262, No. 2, 602-638 (2012). Reviewer: Vladislav Nikolaevich Dumachev (Voronezh) MSC: 47D07 60H15 81S20 35R15 PDF BibTeX XML Cite \textit{S. Albeverio} et al., J. Funct. Anal. 262, No. 2, 602--638 (2012; Zbl 1256.47027) Full Text: DOI arXiv
Krbec, Miroslav; Schmeisser, Hans-Jürgen On dimension-free Sobolev imbeddings. I. (English) Zbl 1238.46027 J. Math. Anal. Appl. 387, No. 1, 114-125 (2012). Reviewer: Jesús Hernández (Madrid) MSC: 46E35 46E30 PDF BibTeX XML Cite \textit{M. Krbec} and \textit{H.-J. Schmeisser}, J. Math. Anal. Appl. 387, No. 1, 114--125 (2012; Zbl 1238.46027) Full Text: DOI
Dolbeault, Jean Sobolev and Hardy-Littlewood-Sobolev inequalities: duality and fast diffusion. (English) Zbl 1272.26010 Math. Res. Lett. 18, No. 6, 1037-1050 (2011). MSC: 26D10 46E35 35K55 PDF BibTeX XML Cite \textit{J. Dolbeault}, Math. Res. Lett. 18, No. 6, 1037--1050 (2011; Zbl 1272.26010) Full Text: DOI
Stannat, Wilhelm Functional inequalities for the Wasserstein Dirichlet form. (English) Zbl 1257.58024 Dalang, Robert C. (ed.) et al., Seminar on stochastic analysis, random fields and applications VI. Centro Stefano Franscini, Ascona, Italy, May 19–23, 2008. Basel: Birkhäuser (ISBN 978-3-0348-0020-4/pbk; 978-3-0348-0021-1/ebook). Progress in Probability 63, 245-260 (2011). Reviewer: Yuri E. Gliklikh (Voronezh) MSC: 58J65 47D07 28A33 35P15 60J35 PDF BibTeX XML Cite \textit{W. Stannat}, Prog. Probab. 63, 245--260 (2011; Zbl 1257.58024) Full Text: DOI
Dolbeault, Jean; Esteban, Maria J. Extremal functions in some interpolation inequalities: symmetry, symmetry breaking and estimates of the best constants. (English) Zbl 1244.26030 Exner, Pavel (ed.), Mathematical results in quantum physics. Proceedings of the QMath11 conference, Hradec Králové, Czech Republc, September 6–10, 2010. Special session in honour of Ari Laptev. With DVD-ROM. Hackensack, NJ: World Scientific (ISBN 978-981-4350-35-8/hbk; 978-981-4350-36-5/ebook). 177-182 (2011). MSC: 26D10 46E35 PDF BibTeX XML Cite \textit{J. Dolbeault} and \textit{M. J. Esteban}, in: Mathematical results in quantum physics. Proceedings of the QMath11 conference, Hradec Králové, Czech Republc, September 6--10, 2010. Special session in honour of Ari Laptev. With DVD-ROM. Hackensack, NJ: World Scientific. 177--182 (2011; Zbl 1244.26030) Full Text: Link
Dolbeault, Jean; Esteban, Maria J.; Tarantello, Gabriella; Tertikas, Achilles Radial symmetry and symmetry breaking for some interpolation inequalities. (English) Zbl 1246.26014 Calc. Var. Partial Differ. Equ. 42, No. 3-4, 461-485 (2011). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 26D10 46E35 49J40 PDF BibTeX XML Cite \textit{J. Dolbeault} et al., Calc. Var. Partial Differ. Equ. 42, No. 3--4, 461--485 (2011; Zbl 1246.26014) Full Text: DOI
Maz’ya, Vladimir; Shaposhnikova, Tatyana Brezis-Gallouet-Wainger type inequality for irregular domains. (English) Zbl 1232.46034 Complex Var. Elliptic Equ. 56, No. 10-11, 991-1002 (2011). MSC: 46E35 32U20 PDF BibTeX XML Cite \textit{V. Maz'ya} and \textit{T. Shaposhnikova}, Complex Var. Elliptic Equ. 56, No. 10--11, 991--1002 (2011; Zbl 1232.46034) Full Text: DOI
Shao, Jinghai A new probability measure-valued stochastic process with Ferguson-Dirichlet process as reversible measure. (English) Zbl 1228.60089 Electron. J. Probab. 16, Paper No. 9, 271-292 (2011). MSC: 60J68 60J35 28A33 58J65 47D07 PDF BibTeX XML Cite \textit{J. Shao}, Electron. J. Probab. 16, Paper No. 9, 271--292 (2011; Zbl 1228.60089) Full Text: DOI EMIS
Fujita, Yasuhiro An optimal logarithmic Sobolev inequality with Lipschitz constants. (English) Zbl 1228.46028 J. Funct. Anal. 261, No. 5, 1133-1144 (2011). MSC: 46E35 26D10 26D15 PDF BibTeX XML Cite \textit{Y. Fujita}, J. Funct. Anal. 261, No. 5, 1133--1144 (2011; Zbl 1228.46028) Full Text: DOI
Fuchs, M.; Bildhauer, M. Compact embeddings of the space of functions with bounded logarithmic deformation. (English. Russian original) Zbl 1229.46023 J. Math. Sci., New York 172, No. 1, 165-183 (2011); translation from Probl. Mat. Anal. 51, 139-153 (2010). MSC: 46E35 46E30 PDF BibTeX XML Cite \textit{M. Fuchs} and \textit{M. Bildhauer}, J. Math. Sci., New York 172, No. 1, 165--183 (2011; Zbl 1229.46023); translation from Probl. Mat. Anal. 51, 139--153 (2010) Full Text: DOI
Jerez-Hanckes, Carlos; Nédélec, Jean-Claude Variational forms for the inverses of integral logarithmic operators over an interval. (English. Abridged French version) Zbl 1230.47078 C. R., Math., Acad. Sci. Paris 349, No. 9-10, 547-552 (2011). Reviewer: Alexei Yu. Karlovich (Lisboa) MSC: 47G10 31A10 45P05 45E99 42A50 46E35 PDF BibTeX XML Cite \textit{C. Jerez-Hanckes} and \textit{J.-C. Nédélec}, C. R., Math., Acad. Sci. Paris 349, No. 9--10, 547--552 (2011; Zbl 1230.47078) Full Text: DOI
Morii, Kei; Sato, Tokushi; Wadade, Hidemitsu Brézis-Gallouët-Wainger inequality with a double logarithmic term on a bounded domain and its sharp constants. (English) Zbl 1225.46029 Math. Inequal. Appl. 14, No. 2, 295-312 (2011). MSC: 46E35 35A23 PDF BibTeX XML Cite \textit{K. Morii} et al., Math. Inequal. Appl. 14, No. 2, 295--312 (2011; Zbl 1225.46029) Full Text: DOI
Gozlan, Nathael; Roberto, Cyril; Samson, Paul-Marie From concentration to logarithmic Sobolev and Poincaré inequalities. (English) Zbl 1226.60024 J. Funct. Anal. 260, No. 5, 1491-1522 (2011). Reviewer: Maria Gordina (Storrs) MSC: 60E15 28A35 53C21 53C23 58J65 60G15 PDF BibTeX XML Cite \textit{N. Gozlan} et al., J. Funct. Anal. 260, No. 5, 1491--1522 (2011; Zbl 1226.60024) Full Text: DOI
Inglis, J.; Kontis, V.; Zegarliński, B. From \(U\)-bounds to isoperimetry with applications to H-type groups. (English) Zbl 1210.26017 J. Funct. Anal. 260, No. 1, 76-116 (2011). Reviewer: Sanja Varošanec (Zagreb) MSC: 26D10 26D15 30L99 PDF BibTeX XML Cite \textit{J. Inglis} et al., J. Funct. Anal. 260, No. 1, 76--116 (2011; Zbl 1210.26017) Full Text: DOI arXiv
del Pino, Manuel; Dolbeault, Jean; Filippas, Stathis; Tertikas, Achilles A logarithmic Hardy inequality. (English) Zbl 1209.26020 J. Funct. Anal. 259, No. 8, 2045-2072 (2010). Reviewer: Petr Gurka (Praha) MSC: 26D10 26D15 46E99 PDF BibTeX XML Cite \textit{M. del Pino} et al., J. Funct. Anal. 259, No. 8, 2045--2072 (2010; Zbl 1209.26020) Full Text: DOI arXiv