Ludwig, Monika Geometric valuation theory. (English) Zbl 1528.52008 Hujdurović, Ademir (ed.) et al., European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20–26, 2021. Berlin: European Mathematical Society (EMS). 93-123 (2023). Reviewer: Peter McMullen (London) MSC: 52B45 46E35 52A20 26B25 PDFBibTeX XMLCite \textit{M. Ludwig}, in: European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20--26, 2021. Berlin: European Mathematical Society (EMS). 93--123 (2023; Zbl 1528.52008) Full Text: DOI arXiv
Meckes, Mark W. Magnitude and Holmes-Thompson intrinsic volumes of convex bodies. (English) Zbl 07741836 Can. Math. Bull. 66, No. 3, 854-867 (2023). MSC: 52A38 52A20 46B20 51F99 52A22 PDFBibTeX XMLCite \textit{M. W. Meckes}, Can. Math. Bull. 66, No. 3, 854--867 (2023; Zbl 07741836) Full Text: DOI arXiv OA License
Wang, Jun; Xue, Fei Borsuk’s partition problem in \(\ell^4_p\). (English) Zbl 1517.52002 Math. Inequal. Appl. 26, No. 1, 131-139 (2023). Reviewer: Lienhard Wimmer (Isny) MSC: 52A20 52A21 46B20 PDFBibTeX XMLCite \textit{J. Wang} and \textit{F. Xue}, Math. Inequal. Appl. 26, No. 1, 131--139 (2023; Zbl 1517.52002) Full Text: DOI
Kolyada, V. I. On some Fournier-Gagliardo type inequalities. (English) Zbl 1498.46036 Rev. Mat. Complut. 35, No. 2, 573-598 (2022). MSC: 46E30 46E35 42B35 PDFBibTeX XMLCite \textit{V. I. Kolyada}, Rev. Mat. Complut. 35, No. 2, 573--598 (2022; Zbl 1498.46036) Full Text: DOI
Avkhadiev, Farit G. Embedding theorems related to torsional rigidity and principal frequency. (English. Russian original) Zbl 1496.46028 Izv. Math. 86, No. 1, 1-31 (2022); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 86, No. 1, 3-35 (2022). MSC: 46E35 26D10 PDFBibTeX XMLCite \textit{F. G. Avkhadiev}, Izv. Math. 86, No. 1, 1--31 (2022; Zbl 1496.46028); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 86, No. 1, 3--35 (2022) Full Text: DOI
Kalinin, A. N. Localization for hyperbolic measures on infinite-dimensional spaces. (English. Russian original) Zbl 1496.46037 Funct. Anal. Appl. 55, No. 4, 286-297 (2021); translation from Funkts. Anal. Prilozh. 55, No. 4, 40-54 (2021). MSC: 46G12 46A55 PDFBibTeX XMLCite \textit{A. N. Kalinin}, Funct. Anal. Appl. 55, No. 4, 286--297 (2021; Zbl 1496.46037); translation from Funkts. Anal. Prilozh. 55, No. 4, 40--54 (2021) Full Text: DOI
Wang, Wei; He, Rigao; Liu, Lijuan \(\mathrm{SL}(n)\) covariant vector-valued valuations on \(L^p\)-spaces. (English. French summary) Zbl 1483.52012 Ann. Math. Qué. 45, No. 2, 465-486 (2021). Reviewer: Victor Alexandrov (Novosibirsk) MSC: 52B45 52A20 46E30 46A40 PDFBibTeX XMLCite \textit{W. Wang} et al., Ann. Math. Qué. 45, No. 2, 465--486 (2021; Zbl 1483.52012) Full Text: DOI
Mussnig, Fabian Valuations on log-concave functions. (English) Zbl 1475.26011 J. Geom. Anal. 31, No. 6, 6427-6451 (2021). Reviewer: Sorin-Mihai Grad (Paris) MSC: 26B25 46B20 52A21 52A41 52B45 PDFBibTeX XMLCite \textit{F. Mussnig}, J. Geom. Anal. 31, No. 6, 6427--6451 (2021; Zbl 1475.26011) Full Text: DOI arXiv
Eskenazis, Alexandros On extremal sections of subspaces of \(L_p\). (English) Zbl 1457.52009 Discrete Comput. Geom. 65, No. 2, 489-509 (2021). MSC: 52A40 52A20 52A21 52A23 46B20 46B09 26B25 PDFBibTeX XMLCite \textit{A. Eskenazis}, Discrete Comput. Geom. 65, No. 2, 489--509 (2021; Zbl 1457.52009) Full Text: DOI arXiv
Huang, Qingzhong; Li, Ai-Jun The \(L^p\) Gagliardo-Nirenberg-Zhang inequality. (English) Zbl 1443.46022 Adv. Appl. Math. 113, Article ID 101971, 21 p. (2020). MSC: 46E35 52A40 52A20 52A39 26D10 26D15 PDFBibTeX XMLCite \textit{Q. Huang} and \textit{A.-J. Li}, Adv. Appl. Math. 113, Article ID 101971, 21 p. (2020; Zbl 1443.46022) Full Text: DOI
Bezdek, Károly; Khan, Muhammad A.; Oliwa, Michael On contact graphs of totally separable domains. (English) Zbl 1421.52019 Aequationes Math. 93, No. 4, 757-780 (2019). MSC: 52C15 05C10 05B40 46B20 PDFBibTeX XMLCite \textit{K. Bezdek} et al., Aequationes Math. 93, No. 4, 757--780 (2019; Zbl 1421.52019) Full Text: DOI arXiv
Giorgobiani, G. Rearrangements of series. (English. Russian original) Zbl 1428.46006 J. Math. Sci., New York 239, No. 4, 437-548 (2019); translation from Sovrem. Mat. Prilozh. 103 (2017). Reviewer: Vladimir Kadets (Kharkiv) MSC: 46B15 40J05 42A20 46A16 46A35 60B12 46-02 PDFBibTeX XMLCite \textit{G. Giorgobiani}, J. Math. Sci., New York 239, No. 4, 437--548 (2019; Zbl 1428.46006); translation from Sovrem. Mat. Prilozh. 103 (2017) Full Text: DOI
Mussnig, Fabian Volume, polar volume and Euler characteristic for convex functions. (English) Zbl 1429.52019 Adv. Math. 344, 340-373 (2019). Reviewer: Andreas Bernig (Frankfurt) MSC: 52B45 52A20 52A41 26B25 46A40 PDFBibTeX XMLCite \textit{F. Mussnig}, Adv. Math. 344, 340--373 (2019; Zbl 1429.52019) Full Text: DOI arXiv
Bezdek, Károly; Naszódi, Márton On contact graphs of totally separable packings in low dimensions. (English) Zbl 1397.05139 Adv. Appl. Math. 101, 266-280 (2018). MSC: 05C70 05C10 52C15 05B40 46B20 PDFBibTeX XMLCite \textit{K. Bezdek} and \textit{M. Naszódi}, Adv. Appl. Math. 101, 266--280 (2018; Zbl 1397.05139) Full Text: DOI arXiv Link
Colesanti, Andrea; Ludwig, Monika; Mussnig, Fabian Minkowski valuations on convex functions. (English) Zbl 1400.52014 Calc. Var. Partial Differ. Equ. 56, No. 6, Paper No. 162, 29 p. (2017). Reviewer: Judit Abardia-Evéquoz (Frankfurt a. M.) MSC: 52B45 26B25 46B20 46E35 52A21 52A41 PDFBibTeX XMLCite \textit{A. Colesanti} et al., Calc. Var. Partial Differ. Equ. 56, No. 6, Paper No. 162, 29 p. (2017; Zbl 1400.52014) Full Text: DOI arXiv
Ma, Dan Real-valued valuations on Sobolev spaces. (English) Zbl 1338.46019 Sci. China, Math. 59, No. 5, 921-934 (2016). MSC: 46B20 46E35 52A21 52B45 PDFBibTeX XMLCite \textit{D. Ma}, Sci. China, Math. 59, No. 5, 921--934 (2016; Zbl 1338.46019) Full Text: DOI arXiv
Ambrosio, Luigi; Bourgain, Jean; Brezis, Haim; Figalli, Alessio BMO-type norms related to the perimeter of sets. (English) Zbl 1352.46026 Commun. Pure Appl. Math. 69, No. 6, 1062-1086 (2016). Reviewer: Thomas Zürcher (Coventry) MSC: 46E30 42B35 28A75 PDFBibTeX XMLCite \textit{L. Ambrosio} et al., Commun. Pure Appl. Math. 69, No. 6, 1062--1086 (2016; Zbl 1352.46026) Full Text: DOI arXiv
Bezdek, Károly; Litvak, Alexander E. Packing convex bodies by cylinders. (English) Zbl 1348.52005 Discrete Comput. Geom. 55, No. 3, 725-738 (2016). Reviewer: Iskander Aliev (Cardiff) MSC: 52A40 46B07 46B20 PDFBibTeX XMLCite \textit{K. Bezdek} and \textit{A. E. Litvak}, Discrete Comput. Geom. 55, No. 3, 725--738 (2016; Zbl 1348.52005) Full Text: DOI arXiv
Fusco, N.; Moscariello, G.; Sbordone, C. A formula for the total variation of SBV functions. (English) Zbl 1332.26018 J. Funct. Anal. 270, No. 1, 419-446 (2016). Reviewer: József Sándor (Cluj-Napoca) MSC: 26A45 46G05 PDFBibTeX XMLCite \textit{N. Fusco} et al., J. Funct. Anal. 270, No. 1, 419--446 (2016; Zbl 1332.26018) Full Text: DOI
Ober, Michael \(L_p\)-Minkowski valuations on \(L^q\)-spaces. (English) Zbl 1331.52022 J. Math. Anal. Appl. 414, No. 1, 68-87 (2014). Reviewer: Christian Richter (Jena) MSC: 52B45 46E30 52A20 PDFBibTeX XMLCite \textit{M. Ober}, J. Math. Anal. Appl. 414, No. 1, 68--87 (2014; Zbl 1331.52022) Full Text: DOI
Ambrosio, Luigi; Bourgain, Jean; Brezis, Haïm; Figalli, Alessio Perimeter of sets and BMO-type norms. (Périmètre d’ensembles et normes de type BMO.) (English. French summary) Zbl 1316.46026 C. R., Math., Acad. Sci. Paris 352, No. 9, 697-698 (2014). MSC: 46E30 PDFBibTeX XMLCite \textit{L. Ambrosio} et al., C. R., Math., Acad. Sci. Paris 352, No. 9, 697--698 (2014; Zbl 1316.46026) Full Text: DOI
Kone, Hassane Valuations on Orlicz spaces and \(L^\phi\)-star sets. (English) Zbl 1301.46009 Adv. Appl. Math. 52, 82-98 (2014). MSC: 46E30 52B45 PDFBibTeX XMLCite \textit{H. Kone}, Adv. Appl. Math. 52, 82--98 (2014; Zbl 1301.46009) Full Text: DOI
Brzezinski, Patryk Volume estimates for sections of certain convex bodies. (English) Zbl 1285.52003 Math. Nachr. 286, No. 17-18, 1726-1743 (2013). MSC: 52A20 52A21 46B07 46B09 33C10 52A38 PDFBibTeX XMLCite \textit{P. Brzezinski}, Math. Nachr. 286, No. 17--18, 1726--1743 (2013; Zbl 1285.52003) Full Text: DOI
Ludwig, Monika Covariance matrices and valuations. (English) Zbl 1303.62016 Adv. Appl. Math. 51, No. 3, 359-366 (2013). Reviewer: Alexander Esterov (Moscow) MSC: 62B10 46A40 15B52 52A20 52B45 62H15 PDFBibTeX XMLCite \textit{M. Ludwig}, Adv. Appl. Math. 51, No. 3, 359--366 (2013; Zbl 1303.62016) Full Text: DOI
Tsang, Andy Minkowski valuations on \(L^p\)-spaces. (English) Zbl 1279.52008 Trans. Am. Math. Soc. 364, No. 12, 6159-6186 (2012). Reviewer: Vladimir Golubyatnikov (Novosibirsk) MSC: 52A20 46E30 52B45 PDFBibTeX XMLCite \textit{A. Tsang}, Trans. Am. Math. Soc. 364, No. 12, 6159--6186 (2012; Zbl 1279.52008) Full Text: DOI
König, Hermann; Koldobsky, Alexander Minimal volume of slabs in the complex cube. (English) Zbl 1253.52002 Proc. Am. Math. Soc. 140, No. 5, 1709-1717 (2012). Reviewer: Alina Stancu (Lowell) MSC: 52A20 46B20 52A40 46B04 52A21 52A38 PDFBibTeX XMLCite \textit{H. König} and \textit{A. Koldobsky}, Proc. Am. Math. Soc. 140, No. 5, 1709--1717 (2012; Zbl 1253.52002) Full Text: DOI
Ma, Dan; He, Binwu Estimates for the extremal sections of \(\ell ^n_p\)-balls. (English) Zbl 1217.52005 J. Math. Anal. Appl. 376, No. 2, 725-731 (2011). Reviewer: Vladimir Kadets (Kharkov) MSC: 52A23 52A21 46B06 PDFBibTeX XMLCite \textit{D. Ma} and \textit{B. He}, J. Math. Anal. Appl. 376, No. 2, 725--731 (2011; Zbl 1217.52005) Full Text: DOI
Ludwig, Monika Fisher information and matrix-valued valuations. (English) Zbl 1274.62064 Adv. Math. 226, No. 3, 2700-2711 (2011). MSC: 62B10 46E35 52A20 52B45 94A17 PDFBibTeX XMLCite \textit{M. Ludwig}, Adv. Math. 226, No. 3, 2700--2711 (2011; Zbl 1274.62064) Full Text: DOI
Chen, Jiecheng; Li, Hongliang A kind of estimate of difference norms in anisotropic weighted Sobolev-Lorentz spaces. (English) Zbl 1181.46024 J. Inequal. Appl. 2009, Article ID 161405, 22 p. (2009). MSC: 46E35 46E30 PDFBibTeX XMLCite \textit{J. Chen} and \textit{H. Li}, J. Inequal. Appl. 2009, Article ID 161405, 22 p. (2009; Zbl 1181.46024) Full Text: DOI EuDML
Bobkov, S. G.; Ledoux, M. From Brunn-Minkowski to sharp Sobolev inequalities. (English) Zbl 1223.26036 Ann. Mat. Pura Appl. (4) 187, No. 3, 369-384 (2008). MSC: 26D10 46E30 46E35 PDFBibTeX XMLCite \textit{S. G. Bobkov} and \textit{M. Ledoux}, Ann. Mat. Pura Appl. (4) 187, No. 3, 369--384 (2008; Zbl 1223.26036) Full Text: DOI
Gruber, Peter M. Application of an idea of Voronoĭ to John type problems. (English) Zbl 1144.52003 Adv. Math. 218, No. 2, 309-351 (2008). Reviewer: Rolf Schneider (Freiburg i. Br.) MSC: 52A20 52A41 52A40 46B07 PDFBibTeX XMLCite \textit{P. M. Gruber}, Adv. Math. 218, No. 2, 309--351 (2008; Zbl 1144.52003) Full Text: DOI
Zivaljevic, Rade T. Equipartitions of measures in \(\mathbb{R}^4\). (English) Zbl 1202.68454 Trans. Am. Math. Soc. 360, No. 1, 153-169 (2008). MSC: 68U05 68U10 14E20 46E25 20C20 PDFBibTeX XMLCite \textit{R. T. Zivaljevic}, Trans. Am. Math. Soc. 360, No. 1, 153--169 (2008; Zbl 1202.68454) Full Text: DOI arXiv
Martini, Horst; Swanepoel, Konrad J. Low-degree minimal spanning trees in normed spaces. (English) Zbl 1105.46010 Appl. Math. Lett. 19, No. 2, 122-125 (2006). Reviewer: Michael Huber (Tübingen) MSC: 46B20 52A21 PDFBibTeX XMLCite \textit{H. Martini} and \textit{K. J. Swanepoel}, Appl. Math. Lett. 19, No. 2, 122--125 (2006; Zbl 1105.46010) Full Text: DOI arXiv
Patras, Frédéric Lambda-rings. (English) Zbl 1072.19005 Hazewinkel, M. (ed.), Handbook of algebra. Volume 3. Amsterdam: Elsevier (ISBN 0-444-51264-0/hbk). 961-986 (2003). Reviewer: Do Ngoc Diep (Hanoi) MSC: 19L20 46L80 05E05 14C35 20C30 PDFBibTeX XMLCite \textit{F. Patras}, in: Handbook of algebra. Volume 3. Amsterdam: Elsevier. 961--986 (2003; Zbl 1072.19005)
Barthe, F. Extremal properties of central half-spaces for product measures. (English) Zbl 0984.28003 J. Funct. Anal. 182, No. 1, 81-107 (2001). Reviewer: Marius Iosifescu (Bucureşti) MSC: 28A35 60G15 46N30 46E15 PDFBibTeX XMLCite \textit{F. Barthe}, J. Funct. Anal. 182, No. 1, 81--107 (2001; Zbl 0984.28003) Full Text: DOI
Schmuckenschläger, Michael The isotropy constant of the unit ball of an \(n\)-dimensional Banach space with 1-unconditional basis. (Die Isotropiekonstante der Einheitskugel eines n-dimensionalen Banachraumes mit einer 1-unbedingten Basis.) (German) Zbl 0761.46005 Arch. Math. 58, No. 4, 376-383 (1992). MSC: 46B15 46B07 PDFBibTeX XMLCite \textit{M. Schmuckenschläger}, Arch. Math. 58, No. 4, 376--383 (1992; Zbl 0761.46005) Full Text: DOI
Cieslik, D. The 1-Steiner-minimal-tree problem in Minkowski-spaces. (English) Zbl 0739.05029 Optimization 22, No. 2, 291-296 (1991). MSC: 05C05 46B20 52A37 90C35 PDFBibTeX XMLCite \textit{D. Cieslik}, Optimization 22, No. 2, 291--296 (1991; Zbl 0739.05029) Full Text: DOI
Schütt, Carsten The isoperimetric quotient and some classical Banach spaces. (English) Zbl 0759.46025 Isr. J. Math. 67, No. 1, 43-61 (1989). MSC: 46B25 52A40 PDFBibTeX XMLCite \textit{C. Schütt}, Isr. J. Math. 67, No. 1, 43--61 (1989; Zbl 0759.46025) Full Text: DOI
Meyer, Mathieu; Pajor, Alain Sections of the unit ball of \(\ell ^ n_ p\). (English) Zbl 0667.46004 J. Funct. Anal. 80, No. 1, 109-123 (1988). Reviewer: J.Boos MSC: 46A45 46B25 46B20 PDFBibTeX XMLCite \textit{M. Meyer} and \textit{A. Pajor}, J. Funct. Anal. 80, No. 1, 109--123 (1988; Zbl 0667.46004) Full Text: DOI
Cieslik, D. The Fermat-Steiner-Weber-problem in Minkowski spaces. (English) Zbl 0656.46010 Optimization 19, No. 4, 485-489 (1988). Reviewer: J.Danes MSC: 46B20 52Bxx 90C05 PDFBibTeX XMLCite \textit{D. Cieslik}, Optimization 19, No. 4, 485--489 (1988; Zbl 0656.46010) Full Text: DOI
Gromov, M.; Milman, V. D. Generalization of the spherical isoperimetric inequality to uniformly convex Banach spaces. (English) Zbl 0623.46007 Compos. Math. 62, 263-282 (1987). MSC: 46B20 46G12 PDFBibTeX XMLCite \textit{M. Gromov} and \textit{V. D. Milman}, Compos. Math. 62, 263--282 (1987; Zbl 0623.46007) Full Text: Numdam EuDML
Grinberg, V. S.; Sevast’yanov, S. V. Value of the Steinitz constant. (English) Zbl 0446.46009 Funct. Anal. Appl. 14, 125-126 (1980). MSC: 46B03 15A03 41A44 PDFBibTeX XMLCite \textit{V. S. Grinberg} and \textit{S. V. Sevast'yanov}, Funct. Anal. Appl. 14, 125--126 (1980; Zbl 0446.46009) Full Text: DOI
Moran, Gadi Continuous functions on countable compact ordered sets as sums of their increments. (English) Zbl 0421.46021 Trans. Am. Math. Soc. 256, 99-112 (1979). MSC: 46E15 46E40 06F30 54C40 54H12 PDFBibTeX XMLCite \textit{G. Moran}, Trans. Am. Math. Soc. 256, 99--112 (1979; Zbl 0421.46021) Full Text: DOI