Tuo, Rui; Wang, Yan; Jeff Wu, C. F. On the improved rates of convergence for Matérn-type kernel ridge regression with application to calibration of computer models. (English) Zbl 07307674 SIAM/ASA J. Uncertain. Quantif. 8, 1522-1547 (2020). MSC: 62J07 62G08 62M30 62M40 46E22 62-08 PDF BibTeX XML Cite \textit{R. Tuo} et al., SIAM/ASA J. Uncertain. Quantif. 8, 1522--1547 (2020; Zbl 07307674) Full Text: DOI
Fischer, Simon; Steinwart, Ingo Sobolev norm learning rates for regularized least-squares algorithms. (English) Zbl 07306894 J. Mach. Learn. Res. 21, Paper No. 205, 38 p. (2020). MSC: 68T05 PDF BibTeX XML Cite \textit{S. Fischer} and \textit{I. Steinwart}, J. Mach. Learn. Res. 21, Paper No. 205, 38 p. (2020; Zbl 07306894) Full Text: Link
Kossaczká, Marta; Vybíral, Jan Entropy numbers of finite-dimensional embeddings. (English) Zbl 07304241 Expo. Math. 38, No. 3, 319-336 (2020). MSC: 47B06 41A46 46B07 PDF BibTeX XML Cite \textit{M. Kossaczká} and \textit{J. Vybíral}, Expo. Math. 38, No. 3, 319--336 (2020; Zbl 07304241) Full Text: DOI
Nickl, Richard Bernstein-von Mises theorems for statistical inverse problems. I: Schrödinger equation. (English) Zbl 1445.62099 J. Eur. Math. Soc. (JEMS) 22, No. 8, 2697-2750 (2020). MSC: 62G20 65N21 35J10 PDF BibTeX XML Cite \textit{R. Nickl}, J. Eur. Math. Soc. (JEMS) 22, No. 8, 2697--2750 (2020; Zbl 1445.62099) Full Text: DOI
Bouchala, Ondřej Measures of non-compactness and Sobolev-Lorentz spaces. (English) Zbl 1455.46033 Z. Anal. Anwend. 39, No. 1, 27-40 (2020). MSC: 46E35 46E30 47H08 PDF BibTeX XML Cite \textit{O. Bouchala}, Z. Anal. Anwend. 39, No. 1, 27--40 (2020; Zbl 1455.46033) Full Text: DOI
Haroske, Dorothee D.; Skrzypczak, Leszek Morrey sequence spaces: Pitt’s theorem and compact embeddings. (English) Zbl 1454.46037 Constr. Approx. 51, No. 3, 505-535 (2020). Reviewer: Wen Yuan (Beijing) MSC: 46E39 47B06 46B45 PDF BibTeX XML Cite \textit{D. D. Haroske} and \textit{L. Skrzypczak}, Constr. Approx. 51, No. 3, 505--535 (2020; Zbl 1454.46037) Full Text: DOI
Haroske, Dorothee D.; Skrzypczak, Leszek Entropy numbers of compact embeddings of smoothness Morrey spaces on bounded domains. (English) Zbl 1446.46019 J. Approx. Theory 256, Article ID 105424, 23 p. (2020). Reviewer: Hans Triebel (Jena) MSC: 46E35 47B06 41A46 PDF BibTeX XML Cite \textit{D. D. Haroske} and \textit{L. Skrzypczak}, J. Approx. Theory 256, Article ID 105424, 23 p. (2020; Zbl 1446.46019) Full Text: DOI
Doležalová, Anna; Vybíral, Jan On the volume of unit balls of finite-dimensional Lorentz spaces. (English) Zbl 1445.46013 J. Approx. Theory 255, Article ID 105407, 19 p. (2020). Reviewer: Carsten Schütt (Kiel) MSC: 46B07 52A21 52A38 47B06 PDF BibTeX XML Cite \textit{A. Doležalová} and \textit{J. Vybíral}, J. Approx. Theory 255, Article ID 105407, 19 p. (2020; Zbl 1445.46013) Full Text: DOI
Sawano, Yoshihiro Homogeneous Besov spaces. (English) Zbl 1437.42034 Kyoto J. Math. 60, No. 1, 1-43 (2020). MSC: 42B35 46A04 30H05 46E35 PDF BibTeX XML Cite \textit{Y. Sawano}, Kyoto J. Math. 60, No. 1, 1--43 (2020; Zbl 1437.42034) Full Text: DOI Euclid
Ushakova, Elena P. Spline wavelet bases in function spaces with Muckenhoupt weights. (English) Zbl 1446.46022 Rev. Mat. Complut. 33, No. 1, 125-160 (2020). Reviewer: Hans Triebel (Jena) MSC: 46E35 42C40 42B35 PDF BibTeX XML Cite \textit{E. P. Ushakova}, Rev. Mat. Complut. 33, No. 1, 125--160 (2020; Zbl 1446.46022) Full Text: DOI
Garroni, A.; Van Meurs, P.; Peletier, M. A.; Scardia, L. Convergence and non-convergence of many-particle evolutions with multiple signs. (English) Zbl 1434.82082 Arch. Ration. Mech. Anal. 235, No. 1, 3-49 (2020). MSC: 82D20 82C22 35B44 35B45 PDF BibTeX XML Cite \textit{A. Garroni} et al., Arch. Ration. Mech. Anal. 235, No. 1, 3--49 (2020; Zbl 1434.82082) Full Text: DOI
Cobos, Fernando; Edmunds, David E.; Kühn, Thomas Nuclear embeddings of Besov spaces into Zygmund spaces. (English) Zbl 1445.46035 J. Fourier Anal. Appl. 26, No. 1, Paper No. 9, 16 p. (2020). MSC: 46E35 47B10 PDF BibTeX XML Cite \textit{F. Cobos} et al., J. Fourier Anal. Appl. 26, No. 1, Paper No. 9, 16 p. (2020; Zbl 1445.46035) Full Text: DOI
Fischer, Simon Some new bounds on the entropy numbers of diagonal operators. (English) Zbl 1448.47030 J. Approx. Theory 251, Article ID 105343, 14 p. (2020). Reviewer: Daniele Puglisi (Catania) MSC: 47B06 46B45 PDF BibTeX XML Cite \textit{S. Fischer}, J. Approx. Theory 251, Article ID 105343, 14 p. (2020; Zbl 1448.47030) Full Text: DOI
Martin, Jörg; Perkowski, Nicolas Paracontrolled distributions on Bravais lattices and weak universality of the 2d parabolic Anderson model. (English. French summary) Zbl 1446.60047 Ann. Inst. Henri Poincaré, Probab. Stat. 55, No. 4, 2058-2110 (2019). Reviewer: Martin Ondreját (Praha) MSC: 60H15 60F05 30H25 PDF BibTeX XML Cite \textit{J. Martin} and \textit{N. Perkowski}, Ann. Inst. Henri Poincaré, Probab. Stat. 55, No. 4, 2058--2110 (2019; Zbl 1446.60047) Full Text: DOI Euclid
Triebel, Hans Turing patterns, Lengyel-Epstein systems and Faber splines. (English) Zbl 07155496 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 (ISBN 978-83-86806-45-4/pbk). Banach Center Publications 119, 311-330 (2019). MSC: 46E35 35K55 35Q92 42B35 92C15 PDF BibTeX XML Cite \textit{H. Triebel}, Banach Cent. Publ. 119, 311--330 (2019; Zbl 07155496) Full Text: DOI
Haroske, Dorothee D.; Skrzypczak, Leszek Some quantitative result on compact embeddings in smoothness Morrey spaces on bounded domains; an approach via interpolation. (English) Zbl 1445.46036 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, 181-191 (2019). MSC: 46E35 41A46 47B06 PDF BibTeX XML Cite \textit{D. D. Haroske} and \textit{L. Skrzypczak}, Banach Cent. Publ. 119, 181--191 (2019; Zbl 1445.46036) Full Text: DOI
Lomakina, E. N.; Nasyrova, M. G. Estimate for the entropy numbers of the weighted Hardy operators that act from Banach space to \(q\)-Banach space. (English. Russian original) Zbl 07137335 Sib. Math. J. 60, No. 4, 624-635 (2019); translation from Sib. Mat. Zh. 60, No. 4, 801-814 (2019). MSC: 47 46 PDF BibTeX XML Cite \textit{E. N. Lomakina} and \textit{M. G. Nasyrova}, Sib. Math. J. 60, No. 4, 624--635 (2019; Zbl 07137335); translation from Sib. Mat. Zh. 60, No. 4, 801--814 (2019) Full Text: DOI
Steinwart, Ingo Convergence types and rates in generic Karhunen-Loève expansions with applications to sample path properties. (English) Zbl 07127783 Potential Anal. 51, No. 3, 361-395 (2019). MSC: 60G12 60G60 60G17 46E22 PDF BibTeX XML Cite \textit{I. Steinwart}, Potential Anal. 51, No. 3, 361--395 (2019; Zbl 07127783) Full Text: DOI arXiv
Mantile, Andrea; Posilicano, Andrea Asymptotic completeness and S-matrix for singular perturbations. (English. French summary) Zbl 07107299 J. Math. Pures Appl. (9) 130, 36-67 (2019). MSC: 47A40 47B25 35P25 35J10 PDF BibTeX XML Cite \textit{A. Mantile} and \textit{A. Posilicano}, J. Math. Pures Appl. (9) 130, 36--67 (2019; Zbl 07107299) Full Text: DOI
Cwikel, Michael; Einav, Amit Interpolation of weighted Sobolev spaces. (English) Zbl 1435.46017 J. Funct. Anal. 277, No. 7, 2381-2441 (2019). MSC: 46B70 46E35 PDF BibTeX XML Cite \textit{M. Cwikel} and \textit{A. Einav}, J. Funct. Anal. 277, No. 7, 2381--2441 (2019; Zbl 1435.46017) Full Text: DOI arXiv
Dota, Alicja; Skrzypczak, Leszek Some properties of block-radial functions and Schrödinger type operators with block-radial potentials. (English) Zbl 07075672 J. Complexity 53, 1-22 (2019). MSC: 41 47 PDF BibTeX XML Cite \textit{A. Dota} and \textit{L. Skrzypczak}, J. Complexity 53, 1--22 (2019; Zbl 07075672) Full Text: DOI arXiv
Kuersteiner, Guido M. Invariance principles for dependent processes indexed by Besov classes with an application to a Hausman test for linearity. (English) Zbl 1452.62936 J. Econom. 211, No. 1, 243-261 (2019). MSC: 62P20 60F17 60F05 46E35 62F03 PDF BibTeX XML Cite \textit{G. M. Kuersteiner}, J. Econom. 211, No. 1, 243--261 (2019; Zbl 1452.62936) Full Text: DOI
Besoy, Blanca F.; Cobos, Fernando Interpolation of the measure of non-compactness of bilinear operators among quasi-Banach spaces. (English) Zbl 1423.46102 J. Approx. Theory 243, 25-44 (2019). MSC: 46M35 46B70 47H60 47H08 PDF BibTeX XML Cite \textit{B. F. Besoy} and \textit{F. Cobos}, J. Approx. Theory 243, 25--44 (2019; Zbl 1423.46102) Full Text: DOI
Heinrich, Stefan Complexity of stochastic integration in Sobolev classes. (English) Zbl 1446.65006 J. Math. Anal. Appl. 476, No. 1, 177-195 (2019). Reviewer: Peter Mathé (Berlin) MSC: 65C30 60H05 46E35 PDF BibTeX XML Cite \textit{S. Heinrich}, J. Math. Anal. Appl. 476, No. 1, 177--195 (2019; Zbl 1446.65006) Full Text: DOI
Cobos, Fernando; Kühn, Thomas; Sickel, Winfried On optimal approximation in periodic Besov spaces. (English) Zbl 1421.42002 J. Math. Anal. Appl. 474, No. 2, 1441-1462 (2019). Reviewer: Yamilet del Carmen Quintana Mato (Caracas) MSC: 42A10 41A25 41A63 46E35 47B99 PDF BibTeX XML Cite \textit{F. Cobos} et al., J. Math. Anal. Appl. 474, No. 2, 1441--1462 (2019; Zbl 1421.42002) Full Text: DOI
Lewis, Duaine; Sing, Bernd An upper bound on the Kolmogorov widths of a certain family of integral operators. (English) Zbl 1414.41017 J. Approx. Theory 240, 71-95 (2019). MSC: 41A46 47G10 PDF BibTeX XML Cite \textit{D. Lewis} and \textit{B. Sing}, J. Approx. Theory 240, 71--95 (2019; Zbl 1414.41017) Full Text: DOI
Wang, Kai; Wang, Yali; Zhou, Yinying On the entropy numbers between the anisotropic spaces and the spaces of functions with mixed smoothness. (English) Zbl 1411.41020 Int. J. Wavelets Multiresolut. Inf. Process. 17, No. 1, Article ID 1850065, 19 p. (2019). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 41A46 41A25 42C40 46E35 PDF BibTeX XML Cite \textit{K. Wang} et al., Int. J. Wavelets Multiresolut. Inf. Process. 17, No. 1, Article ID 1850065, 19 p. (2019; Zbl 1411.41020) Full Text: DOI
Medková, Dagmar \(L^q\)-solution of the Robin problem for the Stokes system with Coriolis force. (English) Zbl 1404.76285 J. Math. Fluid Mech. 20, No. 4, 1589-1616 (2018). MSC: 76U05 76D10 76D07 35Q35 PDF BibTeX XML Cite \textit{D. Medková}, J. Math. Fluid Mech. 20, No. 4, 1589--1616 (2018; Zbl 1404.76285) Full Text: DOI
Vasil’eva, A. A. Entropy numbers of embeddings of function spaces on sets with tree-like structure: some generalized limiting cases. (English) Zbl 1410.46025 Russ. J. Math. Phys. 25, No. 2, 248-270 (2018). Reviewer: Hans Triebel (Jena) MSC: 46E35 47B06 41A46 PDF BibTeX XML Cite \textit{A. A. Vasil'eva}, Russ. J. Math. Phys. 25, No. 2, 248--270 (2018; Zbl 1410.46025) Full Text: DOI
Stabile, R. L. B.; Tozoni, S. A. Estimates for entropy numbers of sets of smooth functions on the torus \(\mathbb{T}^d\). (English) Zbl 1400.41024 J. Approx. Theory 235, 92-115 (2018). MSC: 41A46 42B25 PDF BibTeX XML Cite \textit{R. L. B. Stabile} and \textit{S. A. Tozoni}, J. Approx. Theory 235, 92--115 (2018; Zbl 1400.41024) Full Text: DOI
Suzuki, Taiji Fast learning rate of non-sparse multiple kernel learning and optimal regularization strategies. (English) Zbl 1410.62087 Electron. J. Stat. 12, No. 2, 2141-2192 (2018). Reviewer: Catalin Stoean (Craiova) MSC: 62H15 68T05 PDF BibTeX XML Cite \textit{T. Suzuki}, Electron. J. Stat. 12, No. 2, 2141--2192 (2018; Zbl 1410.62087) Full Text: DOI Euclid
Behrndt, Jussi; Langer, Matthias; Lotoreichik, Vladimir; Rohleder, Jonathan Spectral enclosures for non-self-adjoint extensions of symmetric operators. (English) Zbl 06912916 J. Funct. Anal. 275, No. 7, 1808-1888 (2018). MSC: 47A10 35P05 35J25 81Q12 35J10 34L40 81Q35 PDF BibTeX XML Cite \textit{J. Behrndt} et al., J. Funct. Anal. 275, No. 7, 1808--1888 (2018; Zbl 06912916) Full Text: DOI
Cobos, Fernando; Domínguez, Óscar; Kühn, Thomas Approximation and entropy numbers of embeddings between approximation spaces. (English) Zbl 1396.41027 Constr. Approx. 47, No. 3, 453-486 (2018). Reviewer: Vasile Postolică (Piatra Neamt) MSC: 41A65 46M35 PDF BibTeX XML Cite \textit{F. Cobos} et al., Constr. Approx. 47, No. 3, 453--486 (2018; Zbl 1396.41027) Full Text: DOI
Ehler, Martin; Filbir, Frank Metric entropy, \(n\)-widths, and sampling of functions on manifolds. (English) Zbl 1388.41017 J. Approx. Theory 225, 41-57 (2018). Reviewer: Yuri A. Farkov (Moscow) MSC: 41A46 42A10 PDF BibTeX XML Cite \textit{M. Ehler} and \textit{F. Filbir}, J. Approx. Theory 225, 41--57 (2018; Zbl 1388.41017) Full Text: DOI
Edmunds, D. E.; Nekvinda, A. Characterisation of zero trace functions in higher-order spaces of Sobolev type. (English) Zbl 1402.46024 J. Math. Anal. Appl. 459, No. 2, 879-892 (2018). Reviewer: Jiří Rákosník (Praha) MSC: 46E35 46E30 PDF BibTeX XML Cite \textit{D. E. Edmunds} and \textit{A. Nekvinda}, J. Math. Anal. Appl. 459, No. 2, 879--892 (2018; Zbl 1402.46024) Full Text: DOI
Lin, Shao-Bo; Guo, Xin; Zhou, Ding-Xuan Distributed learning with regularized least squares. (English) Zbl 1435.68273 J. Mach. Learn. Res. 18(2017-2018), Paper No. 92, 31 p. (2017). MSC: 68T05 62G05 62G20 62J07 PDF BibTeX XML Cite \textit{S.-B. Lin} et al., J. Mach. Learn. Res. 18, Paper No. 92, 31 p. (2017; Zbl 1435.68273) Full Text: Link
Triebel, Hans Tempered homogeneous function spaces. II. (English) Zbl 1395.46030 Cwikel, Michael (ed.) et al., Functional analysis, harmonic analysis, and image processing: a collection of papers in honor of Björn Jawerth. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2836-5/pbk; 978-1-4704-4166-1/ebook). Contemporary Mathematics 693, 331-361 (2017). MSC: 46E35 42B35 46-02 PDF BibTeX XML Cite \textit{H. Triebel}, Contemp. Math. 693, 331--361 (2017; Zbl 1395.46030) Full Text: DOI arXiv
Haroske, Dorothee D.; Moura, Susana D.; Schneider, Cornelia; Skrzypczak, Leszek Unboundedness properties of smoothness Morrey spaces of regular distributions on domains. (English) Zbl 1393.46025 Sci. China, Math. 60, No. 12, 2349-2376 (2017). Reviewer: Hans Triebel (Jena) MSC: 46E35 47B06 PDF BibTeX XML Cite \textit{D. D. Haroske} et al., Sci. China, Math. 60, No. 12, 2349--2376 (2017; Zbl 1393.46025) Full Text: DOI
Baituyakova, Z.; Sickel, W. Strong summability of Fourier series and generalized Morrey spaces. (English) Zbl 1399.42009 Anal. Math. 43, No. 3, 371-414 (2017). MSC: 42A16 42B35 46E35 PDF BibTeX XML Cite \textit{Z. Baituyakova} and \textit{W. Sickel}, Anal. Math. 43, No. 3, 371--414 (2017; Zbl 1399.42009) 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
Cockreham, James; Gao, Fuchang; Yang, Yuhong Metric entropy of \(q\)-hulls in Banach spaces of type-\(p\). (English) Zbl 06803854 Proc. Am. Math. Soc. 145, No. 12, 5205-5214 (2017). MSC: 47B06 52A27 41A46 PDF BibTeX XML Cite \textit{J. Cockreham} et al., Proc. Am. Math. Soc. 145, No. 12, 5205--5214 (2017; Zbl 06803854) Full Text: DOI
Sonner, Stefanie; Caraballo, Tomás Random pullback exponential attractors: general existence results for random dynamical systems in Banach spaces. (English) Zbl 06774983 Discrete Contin. Dyn. Syst. 37, No. 12, 6383-6403 (2017). MSC: 37L30 37L55 35R60 35B41 PDF BibTeX XML Cite \textit{S. Sonner} and \textit{T. Caraballo}, Discrete Contin. Dyn. Syst. 37, No. 12, 6383--6403 (2017; Zbl 06774983) Full Text: DOI
Hinrichs, Aicke; Prochno, Joscha; Vybíral, Jan Entropy numbers of embeddings of Schatten classes. (English) Zbl 1373.15026 J. Funct. Anal. 273, No. 10, 3241-3261 (2017). MSC: 15A29 PDF BibTeX XML Cite \textit{A. Hinrichs} et al., J. Funct. Anal. 273, No. 10, 3241--3261 (2017; Zbl 1373.15026) Full Text: DOI arXiv
Mastyło, Mieczysław; Szwedek, Radosław Eigenvalues and entropy moduli of operators in interpolation spaces. (English) Zbl 06756117 J. Geom. Anal. 27, No. 2, 1131-1177 (2017). MSC: 47B06 46M35 47A75 46B70 PDF BibTeX XML Cite \textit{M. Mastyło} and \textit{R. Szwedek}, J. Geom. Anal. 27, No. 2, 1131--1177 (2017; Zbl 06756117) Full Text: DOI
Kempka, Henning; Vybíral, Jan Volumes of unit balls of mixed sequence spaces. (English) Zbl 1367.26027 Math. Nachr. 290, No. 8-9, 1317-1327 (2017). MSC: 26B15 46A45 PDF BibTeX XML Cite \textit{H. Kempka} and \textit{J. Vybíral}, Math. Nachr. 290, No. 8--9, 1317--1327 (2017; Zbl 1367.26027) Full Text: DOI arXiv
Steinwart, Ingo A short note on the comparison of interpolation widths, entropy numbers, and Kolmogorov widths. (English) Zbl 1365.41014 J. Approx. Theory 215, 13-27 (2017). Reviewer: Yuri A. Farkov (Moscow) MSC: 41A46 42B35 PDF BibTeX XML Cite \textit{I. Steinwart}, J. Approx. Theory 215, 13--27 (2017; Zbl 1365.41014) Full Text: DOI arXiv
Anatriello, Giuseppina; Formica, Maria Rosaria; Giova, Raffaella Fully measurable small Lebesgue spaces. (English) Zbl 1365.46022 J. Math. Anal. Appl. 447, No. 1, 550-563 (2017). Reviewer: George O. Okikiolu (London) MSC: 46E30 PDF BibTeX XML Cite \textit{G. Anatriello} et al., J. Math. Anal. Appl. 447, No. 1, 550--563 (2017; Zbl 1365.46022) Full Text: DOI
Wang, Kai; Wang, Yali Entropy numbers of functions on \([-1,1]\) with Jacobi weights. (English) Zbl 1367.46033 J. Math. Anal. Appl. 445, No. 1, 985-997 (2017). MSC: 46E35 47B06 PDF BibTeX XML Cite \textit{K. Wang} and \textit{Y. Wang}, J. Math. Anal. Appl. 445, No. 1, 985--997 (2017; Zbl 1367.46033) Full Text: DOI
Triebel, Hans A note on function spaces in rough domains. (English. Russian original) Zbl 1361.46034 Proc. Steklov Inst. Math. 293, 338-342 (2016); translation from Tr. Mat. Inst. Steklova 293, 346-351 (2016). MSC: 46E35 PDF BibTeX XML Cite \textit{H. Triebel}, Proc. Steklov Inst. Math. 293, 338--342 (2016; Zbl 1361.46034); translation from Tr. Mat. Inst. Steklova 293, 346--351 (2016) Full Text: DOI
Edmunds, David E.; Gurka, Petr; Lang, Jan Nuclearity and non-nuclearity of some Sobolev embeddings on domains. (English) Zbl 1361.46028 J. Approx. Theory 211, 94-103 (2016). MSC: 46E35 47B10 PDF BibTeX XML Cite \textit{D. E. Edmunds} et al., J. Approx. Theory 211, 94--103 (2016; Zbl 1361.46028) 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
Vasil’eva, A. A. Estimates for the entropy numbers of embedding operators of function spaces on sets with tree-like structure: some limiting cases. (English) Zbl 1358.46036 J. Complexity 36, 74-105 (2016). MSC: 46E35 05C05 46E15 47B06 PDF BibTeX XML Cite \textit{A. A. Vasil'eva}, J. Complexity 36, 74--105 (2016; Zbl 1358.46036) Full Text: DOI
Nguyen, Van Kien Weyl and Bernstein numbers of embeddings of Sobolev spaces with dominating mixed smoothness. (English) Zbl 1393.47010 J. Complexity 36, 46-73 (2016). MSC: 47B06 46B28 46E35 PDF BibTeX XML Cite \textit{V. K. Nguyen}, J. Complexity 36, 46--73 (2016; Zbl 1393.47010) Full Text: DOI arXiv
Hinrichs, Aicke; Kolleck, Anton; Vybíral, Jan Carl’s inequality for quasi-Banach spaces. (English) Zbl 1353.47037 J. Funct. Anal. 271, No. 8, 2293-2307 (2016). MSC: 47B06 41A65 41A46 46B20 PDF BibTeX XML Cite \textit{A. Hinrichs} et al., J. Funct. Anal. 271, No. 8, 2293--2307 (2016; Zbl 1353.47037) Full Text: DOI arXiv
Mieth, Therese Compact embeddings of Sobolev spaces with power weights perturbed by slowly varying functions. (English) Zbl 1360.46031 Math. Nachr. 289, No. 10, 1255-1271 (2016). MSC: 46E35 47B06 PDF BibTeX XML Cite \textit{T. Mieth}, Math. Nachr. 289, No. 10, 1255--1271 (2016; Zbl 1360.46031) Full Text: DOI
de Cave, Linda Maria; D’Onofrio, Luigi; Schiattarella, Roberta Orlicz regularity of the gradient of solutions to quasilinear elliptic equations in the plane. (English) Zbl 1342.35115 Bound. Value Probl. 2016, Paper No. 103, 15 p. (2016). MSC: 35J62 35B65 PDF BibTeX XML Cite \textit{L. M. de Cave} et al., Bound. Value Probl. 2016, Paper No. 103, 15 p. (2016; Zbl 1342.35115) Full Text: DOI
Mieth, Therese Entropy and approximation numbers of weighted Sobolev spaces via bracketing. (English) Zbl 1358.46031 J. Funct. Anal. 270, No. 11, 4322-4339 (2016). MSC: 46E35 47B06 PDF BibTeX XML Cite \textit{T. Mieth}, J. Funct. Anal. 270, No. 11, 4322--4339 (2016; Zbl 1358.46031) Full Text: DOI
Cobos, Fernando; Kühn, Thomas; Sickel, Winfried Optimal approximation of multivariate periodic Sobolev functions in the sup-norm. (English) Zbl 1357.46028 J. Funct. Anal. 270, No. 11, 4196-4212 (2016). MSC: 46E35 41A25 47B06 PDF BibTeX XML Cite \textit{F. Cobos} et al., J. Funct. Anal. 270, No. 11, 4196--4212 (2016; Zbl 1357.46028) Full Text: DOI arXiv
Haroske, Dorothee D.; Moura, Susana D.; Skrzypczak, Leszek Smoothness Morrey spaces of regular distributions, and some unboundedness property. (English) Zbl 1352.46032 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 139, 218-244 (2016). Reviewer: Kwok Pun Ho (Hong Kong) MSC: 46E35 46E30 46F05 PDF BibTeX XML Cite \textit{D. D. Haroske} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 139, 218--244 (2016; Zbl 1352.46032) Full Text: DOI
Christmann, Andreas; Zhou, Ding-Xuan Learning rates for the risk of kernel-based quantile regression estimators in additive models. (English) Zbl 1338.62077 Anal. Appl., Singap. 14, No. 3, 449-477 (2016). MSC: 62G05 62G08 68Q32 PDF BibTeX XML Cite \textit{A. Christmann} and \textit{D.-X. Zhou}, Anal. Appl., Singap. 14, No. 3, 449--477 (2016; Zbl 1338.62077) Full Text: DOI
Rosenthal, Marcel; Schmeisser, Hans-Jürgen On the boundedness of singular integrals in Morrey spaces and its preduals. (English) Zbl 1343.42021 J. Fourier Anal. Appl. 22, No. 2, 462-490 (2016); erratum ibid. 22, No. 2, 491 (2016). Reviewer: Kôzô Yabuta (Nishinomiya) MSC: 42B20 42B35 42B25 42B15 42B30 PDF BibTeX XML Cite \textit{M. Rosenthal} and \textit{H.-J. Schmeisser}, J. Fourier Anal. Appl. 22, No. 2, 462--490 (2016; Zbl 1343.42021) Full Text: DOI arXiv
Almeida, Alexandre; Caetano, António On 2-microlocal spaces with all exponents variable. (English) Zbl 1355.46034 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 135, 97-119 (2016). MSC: 46E35 46E30 42B25 PDF BibTeX XML Cite \textit{A. Almeida} and \textit{A. Caetano}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 135, 97--119 (2016; Zbl 1355.46034) Full Text: DOI arXiv
Edmunds, David E.; Lang, Jan Asymptotic formulae for \(s\)-numbers of a Sobolev embedding and a Volterra type operator. (English) Zbl 1338.47014 Rev. Mat. Complut. 29, No. 1, 1-11 (2016). MSC: 47B06 47G10 PDF BibTeX XML Cite \textit{D. E. Edmunds} and \textit{J. Lang}, Rev. Mat. Complut. 29, No. 1, 1--11 (2016; Zbl 1338.47014) Full Text: DOI arXiv
Haroske, Dorothee D.; Moura, Susana D. Some specific unboundedness property in smoothness Morrey spaces. The non-existence of growth envelopes in the subcritical case. (English) Zbl 1347.46026 Acta Math. Sin., Engl. Ser. 32, No. 2, 137-152 (2016). Reviewer: Dachun Yang (Beijing) MSC: 46E35 42B35 PDF BibTeX XML Cite \textit{D. D. Haroske} and \textit{S. D. Moura}, Acta Math. Sin., Engl. Ser. 32, No. 2, 137--152 (2016; Zbl 1347.46026) Full Text: DOI
Almeida, Alexandre; Caetano, António Atomic and molecular decompositions in variable exponent 2-microlocal spaces and applications. (English) Zbl 1353.46024 J. Funct. Anal. 270, No. 5, 1888-1921 (2016). MSC: 46E35 46E30 42B25 PDF BibTeX XML Cite \textit{A. Almeida} and \textit{A. Caetano}, J. Funct. Anal. 270, No. 5, 1888--1921 (2016; Zbl 1353.46024) Full Text: DOI arXiv
Wang, Heping; Wang, Kai Optimal recovery of Besov classes of generalized smoothness and Sobolev classes on the sphere. (English) Zbl 1329.41034 J. Complexity 32, No. 1, 40-52 (2016). MSC: 41A46 41A30 PDF BibTeX XML Cite \textit{H. Wang} and \textit{K. Wang}, J. Complexity 32, No. 1, 40--52 (2016; Zbl 1329.41034) Full Text: DOI
De Cave, Linda Maria; D’Onofrio, Luigi; Schiattarella, Roberta Regularity results for quasilinear elliptic equations in the plane. (English) Zbl 1386.35400 J. Elliptic Parabol. Equ. 1, No. 1, 109-121 (2015). MSC: 35Q75 35J20 35Q55 PDF BibTeX XML Cite \textit{L. M. De Cave} et al., J. Elliptic Parabol. Equ. 1, No. 1, 109--121 (2015; Zbl 1386.35400) Full Text: DOI
Steinwart, Ingo Measuring the capacity of sets of functions in the analysis of ERM. (English) Zbl 1336.68223 Vovk, Vladimir (ed.) et al., Measures of complexity. Festschrift for Alexey Chervonenkis. Cham: Springer (ISBN 978-3-319-21851-9/hbk; 978-3-319-21852-6/ebook). 217-233 (2015). MSC: 68T05 PDF BibTeX XML Cite \textit{I. Steinwart}, in: Measures of complexity. Festschrift for Alexey Chervonenkis. Cham: Springer. 217--233 (2015; Zbl 1336.68223) Full Text: DOI
Vasil’eva, A. A. Entropy numbers of embedding operators for weighted Sobolev spaces. (English. Russian original) Zbl 1333.47017 Math. Notes 98, No. 6, 982-985 (2015); translation from Mat. Zametki 98, No. 6, 937-940 (2015). MSC: 47B06 46E30 PDF BibTeX XML Cite \textit{A. A. Vasil'eva}, Math. Notes 98, No. 6, 982--985 (2015; Zbl 1333.47017); translation from Mat. Zametki 98, No. 6, 937--940 (2015) Full Text: DOI
Steidl, Gabriele Supervised learning by support vector machines. (English) Zbl 1331.68275 Scherzer, Otmar (ed.), Handbook of mathematical methods in imaging. In 3 volumes. New York, NY: Springer (ISBN 978-1-4939-0789-2/print; 978-1-4939-0790-8/ebook; 978-1-4939-0791-5/print+ebook; 978-3-642-27795-5/online (updated continuously)). Springer Reference, 1393-1453 (2015). MSC: 68U10 68T05 PDF BibTeX XML Cite \textit{G. Steidl}, in: Handbook of mathematical methods in imaging. In 3 volumes. New York, NY: Springer. 1393--1453 (2015; Zbl 1331.68275) Full Text: DOI
Caetano, António M.; Haroske, Dorothee D. Traces of Besov spaces on fractal \(h\)-sets and dichotomy results. (English) Zbl 1350.46025 Stud. Math. 231, No. 2, 117-147 (2015). Reviewer: Hans Triebel (Jena) MSC: 46E35 28A80 PDF BibTeX XML Cite \textit{A. M. Caetano} and \textit{D. D. Haroske}, Stud. Math. 231, No. 2, 117--147 (2015; Zbl 1350.46025) Full Text: DOI arXiv
Tuo, Rui; Wu, C. F. Jeff Efficient calibration for imperfect computer models. (English) Zbl 1326.62228 Ann. Stat. 43, No. 6, 2331-2352 (2015). MSC: 62P30 62A01 62F12 PDF BibTeX XML Cite \textit{R. Tuo} and \textit{C. F. J. Wu}, Ann. Stat. 43, No. 6, 2331--2352 (2015; Zbl 1326.62228) Full Text: DOI Euclid
Mayer, Sebastian; Ullrich, Tino; Vybíral, Jan Entropy and sampling numbers of classes of ridge functions. (English) Zbl 1329.41043 Constr. Approx. 42, No. 2, 231-264 (2015). Reviewer: Alexander Tovstolis (Orlando) MSC: 41A63 41A10 41A25 41A50 46E35 65D05 65D15 PDF BibTeX XML Cite \textit{S. Mayer} et al., Constr. Approx. 42, No. 2, 231--264 (2015; Zbl 1329.41043) Full Text: DOI
Nguyen, Van Kien; Sickel, Winfried Weyl numbers of embeddings of tensor product Besov spaces. (English) Zbl 1323.47018 J. Approx. Theory 200, 170-220 (2015). MSC: 47B06 46B28 46E35 PDF BibTeX XML Cite \textit{V. K. Nguyen} and \textit{W. Sickel}, J. Approx. Theory 200, 170--220 (2015; Zbl 1323.47018) Full Text: DOI arXiv
Hinrichs, Aicke; Mayer, Sebastian Entropy numbers of spheres in Banach and quasi-Banach spaces. (English) Zbl 1326.41011 J. Approx. Theory 200, 144-152 (2015). Reviewer: Zoltán Finta (Cluj-Napoca) MSC: 41A10 41A25 46E35 PDF BibTeX XML Cite \textit{A. Hinrichs} and \textit{S. Mayer}, J. Approx. Theory 200, 144--152 (2015; Zbl 1326.41011) Full Text: DOI arXiv
Vasil’eva, A. A. Widths of weighted Sobolev classes with weights that are functions of the distance to some \(h\)-set: some limit cases. (English) Zbl 1341.46026 Russ. J. Math. Phys. 22, No. 1, 127-140 (2015). MSC: 46E35 41A46 PDF BibTeX XML Cite \textit{A. A. Vasil'eva}, Russ. J. Math. Phys. 22, No. 1, 127--140 (2015; Zbl 1341.46026) Full Text: DOI arXiv
Edmunds, D. E.; Lang, J.; Nekvinda, A. Estimates of \(s\)-numbers of a Sobolev embedding involving spaces of variable exponent. (English) Zbl 1338.46045 J. Math. Anal. Appl. 430, No. 2, 1088-1101 (2015). Reviewer: Alexandre Almeida (Aveiro) MSC: 46E35 47B06 46B50 PDF BibTeX XML Cite \textit{D. E. Edmunds} et al., J. Math. Anal. Appl. 430, No. 2, 1088--1101 (2015; Zbl 1338.46045) Full Text: DOI
Vasil’eva, A. A. Some sufficient conditions for embedding a weighted Sobolev class on a John domain. (English. Russian original) Zbl 1339.46039 Sib. Math. J. 56, No. 1, 54-67 (2015); translation from Sib. Mat. Zh. 56, No. 1, 65-81 (2015). MSC: 46E35 PDF BibTeX XML Cite \textit{A. A. Vasil'eva}, Sib. Math. J. 56, No. 1, 54--67 (2015; Zbl 1339.46039); translation from Sib. Mat. Zh. 56, No. 1, 65--81 (2015) Full Text: DOI
Leopold, Hans-Gerd; Skrzypczak, Leszek Compactness of embeddings of function spaces on quasi-bounded domains and the distribution of eigenvalues of related elliptic operators. II. (English) Zbl 1330.46035 J. Math. Anal. Appl. 429, No. 1, 439-460 (2015). Reviewer: Hans Triebel (Jena) MSC: 46E35 35P15 47B06 PDF BibTeX XML Cite \textit{H.-G. Leopold} and \textit{L. Skrzypczak}, J. Math. Anal. Appl. 429, No. 1, 439--460 (2015; Zbl 1330.46035) Full Text: DOI
Caetano, António M.; Haroske, Dorothee D. Embeddings of Besov spaces on fractal \(h\)-sets. (English) Zbl 1325.46038 Banach J. Math. Anal. 9, No. 4, 259-295 (2015). Reviewer: Hans Triebel (Jena) MSC: 46E35 28A80 PDF BibTeX XML Cite \textit{A. M. Caetano} and \textit{D. D. Haroske}, Banach J. Math. Anal. 9, No. 4, 259--295 (2015; Zbl 1325.46038) Full Text: DOI Euclid arXiv
Demaret, Laurent; Iske, Armin Optimal \(N\)-term approximation by linear splines over anisotropic Delaunay triangulations. (English) Zbl 1316.41007 Math. Comput. 84, No. 293, 1241-1264 (2015). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 41A25 42C40 68U10 94A08 PDF BibTeX XML Cite \textit{L. Demaret} and \textit{A. Iske}, Math. Comput. 84, No. 293, 1241--1264 (2015; Zbl 1316.41007) Full Text: DOI
Rosenthal, Marcel; Triebel, Hans Morrey spaces, their duals and preduals. (English) Zbl 1321.46038 Rev. Mat. Complut. 28, No. 1, 1-30 (2015). Reviewer: Santiago Boza (Vilanova i la Geltrú) MSC: 46E35 46E30 42B35 42B20 PDF BibTeX XML Cite \textit{M. Rosenthal} and \textit{H. Triebel}, Rev. Mat. Complut. 28, No. 1, 1--30 (2015; Zbl 1321.46038) Full Text: DOI
Yuan, Wen; Haroske, Dorothee D.; Moura, Susana D.; Skrzypczak, Leszek; Yang, Dachun Limiting embeddings in smoothness Morrey spaces, continuity envelopes and applications. (English) Zbl 1334.46034 J. Approx. Theory 192, 306-335 (2015). MSC: 46E35 41A46 42B35 47B06 PDF BibTeX XML Cite \textit{W. Yuan} et al., J. Approx. Theory 192, 306--335 (2015; Zbl 1334.46034) Full Text: DOI
Mieth, Therese Entropy and approximation numbers of embeddings of weighted Sobolev spaces. (English) Zbl 1334.46032 J. Approx. Theory 192, 250-272 (2015). MSC: 46E35 47B06 PDF BibTeX XML Cite \textit{T. Mieth}, J. Approx. Theory 192, 250--272 (2015; Zbl 1334.46032) Full Text: DOI arXiv
Vasil’eva, A. A. Widths of function classes on sets with tree-like structure. (English) Zbl 1312.41035 J. Approx. Theory 192, 19-59 (2015). Reviewer: Yuri A. Farkov (Moscow) MSC: 41A46 PDF BibTeX XML Cite \textit{A. A. Vasil'eva}, J. Approx. Theory 192, 19--59 (2015; Zbl 1312.41035) Full Text: DOI
Vasil’eva, A. A. Embedding theorem for weighted Sobolev classes with weights that are functions of the distance to some \(h\)-set. (English) Zbl 1327.46038 Russ. J. Math. Phys. 21, No. 1, 112-122 (2014). MSC: 46E35 41A10 41A63 PDF BibTeX XML Cite \textit{A. A. Vasil'eva}, Russ. J. Math. Phys. 21, No. 1, 112--122 (2014; Zbl 1327.46038) Full Text: DOI arXiv
Triebel, Hans Gagliardo-Nirenberg inequalities. (English) Zbl 1314.46050 Proc. Steklov Inst. Math. 284, 263-279 (2014) and Tr. Mat. Inst. Steklova 284, 271-287 (2014). MSC: 46E35 PDF BibTeX XML Cite \textit{H. Triebel}, Proc. Steklov Inst. Math. 284, 263--279 (2014; Zbl 1314.46050) Full Text: DOI
Sickel, Winfried; Skrzypczak, Leszek Subradial functions and compact embeddings. (English) Zbl 1320.46032 Proc. Steklov Inst. Math. 284, 216-234 (2014) and Tr. Mat. Inst. Steklova 284, 224-242 (2014). MSC: 46E35 PDF BibTeX XML Cite \textit{W. Sickel} and \textit{L. Skrzypczak}, Proc. Steklov Inst. Math. 284, 216--234 (2014; Zbl 1320.46032) Full Text: DOI
De Cave, Linda Maria; Sbordone, Carlo Gradient regularity for solutions to quasilinear elliptic equations in the plane. (English) Zbl 1306.35040 J. Math. Anal. Appl. 417, No. 2, 537-551 (2014). MSC: 35J62 35B65 PDF BibTeX XML Cite \textit{L. M. De Cave} and \textit{C. Sbordone}, J. Math. Anal. Appl. 417, No. 2, 537--551 (2014; Zbl 1306.35040) Full Text: DOI
Carl, Bernd; Defant, Andreas; Planer, Doris Weyl numbers versus \(Z\)-Weyl numbers. (English) Zbl 1325.47043 Stud. Math. 223, No. 3, 233-250 (2014). Reviewer: Joe Howard (Portales) MSC: 47B06 46B20 PDF BibTeX XML Cite \textit{B. Carl} et al., Stud. Math. 223, No. 3, 233--250 (2014; Zbl 1325.47043) Full Text: DOI
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
Moura, Susana D.; Neves, Júlio S.; Schneider, Cornelia Spaces of generalized smoothness in the critical case: optimal embeddings, continuity envelopes and approximation numbers. (English) Zbl 1312.46046 J. Approx. Theory 187, 82-117 (2014). MSC: 46E35 47B06 PDF BibTeX XML Cite \textit{S. D. Moura} et al., J. Approx. Theory 187, 82--117 (2014; Zbl 1312.46046) Full Text: DOI
Carl, Bernd; Rudolph, Philipp Entropy numbers of operators factoring through general diagonal operators. (English) Zbl 1314.47030 Rev. Mat. Complut. 27, No. 2, 623-639 (2014). Reviewer: Janko Bračič (Ljubljana) MSC: 47B06 46B50 PDF BibTeX XML Cite \textit{B. Carl} and \textit{P. Rudolph}, Rev. Mat. Complut. 27, No. 2, 623--639 (2014; Zbl 1314.47030) Full Text: DOI
Haroske, Dorothee D.; Skrzypczak, Leszek On Sobolev and Franke-Jawerth embeddings of smoothness Morrey spaces. (English) Zbl 1311.46033 Rev. Mat. Complut. 27, No. 2, 541-573 (2014). MSC: 46E35 PDF BibTeX XML Cite \textit{D. D. Haroske} and \textit{L. Skrzypczak}, Rev. Mat. Complut. 27, No. 2, 541--573 (2014; Zbl 1311.46033) Full Text: DOI
Carl, Bernd; Hinrichs, Aicke; Rudolph, Philipp Entropy numbers of convex hulls in Banach spaces and applications. (English) Zbl 1310.47026 J. Complexity 30, No. 5, 555-587 (2014). MSC: 47B06 PDF BibTeX XML Cite \textit{B. Carl} et al., J. Complexity 30, No. 5, 555--587 (2014; Zbl 1310.47026) Full Text: DOI arXiv
Lifshits, Mikhail; Linde, Werner Fractional integration operators of variable order: continuity and compactness properties. (English) Zbl 1298.26025 Math. Nachr. 287, No. 8-9, 980-1000 (2014). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 26A33 47B06 47B07 PDF BibTeX XML Cite \textit{M. Lifshits} and \textit{W. Linde}, Math. Nachr. 287, No. 8--9, 980--1000 (2014; Zbl 1298.26025) Full Text: DOI arXiv
Zhang, Shun; Fang, Gensun; Huang, Fanglun Some \(s\)-numbers of embeddings in function spaces with polynomial weights. (English) Zbl 1327.47015 J. Complexity 30, No. 4, 514-532 (2014). Reviewer: Dachun Yang (Beijing) MSC: 47B06 46E35 PDF BibTeX XML Cite \textit{S. Zhang} et al., J. Complexity 30, No. 4, 514--532 (2014; Zbl 1327.47015) Full Text: DOI arXiv
Zhang, Shun; Dota, Alicja \(s\)-numbers of compact embeddings of function spaces on quasi-bounded domains. (English) Zbl 1298.47030 J. Complexity 30, No. 4, 495-513 (2014). Reviewer: Joe Howard (Portales) MSC: 47B06 PDF BibTeX XML Cite \textit{S. Zhang} and \textit{A. Dota}, J. Complexity 30, No. 4, 495--513 (2014; Zbl 1298.47030) Full Text: DOI arXiv
Kley, Oliver; Rudolph, Philipp Critically large entropy of absolutely convex hulls in Banach spaces of type \(p\). (English) Zbl 1314.46021 J. Approx. Theory 184, 1-27 (2014). MSC: 46B20 41A46 52A07 46B07 PDF BibTeX XML Cite \textit{O. Kley} and \textit{P. Rudolph}, J. Approx. Theory 184, 1--27 (2014; Zbl 1314.46021) Full Text: DOI
Wang, He Ping; Wang, Kai; Wang, Jing Entropy numbers of Besov classes of generalized smoothness on the sphere. (English) Zbl 1284.41018 Acta Math. Sin., Engl. Ser. 30, No. 1, 51-60 (2014). MSC: 41A46 41A25 PDF BibTeX XML Cite \textit{H. P. Wang} et al., Acta Math. Sin., Engl. Ser. 30, No. 1, 51--60 (2014; Zbl 1284.41018) Full Text: DOI