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
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
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
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
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
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
Leopold, Hans-Gerd; Skrzypczak, Leszek Compactness of embeddings of function spaces on quasi-bounded domains and the distribution of eigenvalues of related elliptic operators. (English) Zbl 1291.46032 Proc. Edinb. Math. Soc., II. Ser. 56, No. 3, 829-851 (2013). Reviewer: Hans Triebel (Jena) MSC: 46E35 41A46 35P20 42C40 47B06 PDF BibTeX XML Cite \textit{H.-G. Leopold} and \textit{L. Skrzypczak}, Proc. Edinb. Math. Soc., II. Ser. 56, No. 3, 829--851 (2013; Zbl 1291.46032) Full Text: DOI Link
Gąsiorowska, Alicja; Skrzypczak, Leszek Some \(s\)-numbers of embeddings of function spaces with weights of logarithmic type. (English) Zbl 1280.47031 Math. Nachr. 286, No. 7, 644-658 (2013). Reviewer: Joe Howard (Portales) MSC: 47B06 46E35 42B35 35P15 PDF BibTeX XML Cite \textit{A. Gąsiorowska} and \textit{L. Skrzypczak}, Math. Nachr. 286, No. 7, 644--658 (2013; Zbl 1280.47031) Full Text: DOI
Zhang, Shun; Fang, Gensun Widths of embeddings in weighted function spaces. (English) Zbl 1270.47017 J. Approx. Theory 167, 147-172 (2013). Reviewer: Joe Howard (Portales) MSC: 47B06 41A46 46E35 PDF BibTeX XML Cite \textit{S. Zhang} and \textit{G. Fang}, J. Approx. Theory 167, 147--172 (2013; Zbl 1270.47017) Full Text: DOI arXiv
Hansen, Markus; Sickel, Winfried Best \(m\)-term approximation and Sobolev-Besov spaces of dominating mixed smoothness – the case of compact embeddings. (English) Zbl 1251.41005 Constr. Approx. 36, No. 1, 1-51 (2012). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A25 41A46 41A63 42C40 46E35 46B70 PDF BibTeX XML Cite \textit{M. Hansen} and \textit{W. Sickel}, Constr. Approx. 36, No. 1, 1--51 (2012; Zbl 1251.41005) Full Text: DOI
Schneider, Cornelia; Vybíral, Jan Homogeneity property of Besov and Triebel-Lizorkin spaces. (English) Zbl 1247.46030 J. Funct. Spaces Appl. 2012, Article ID 281085, 17 p. (2012). MSC: 46E35 PDF BibTeX XML Cite \textit{C. Schneider} and \textit{J. Vybíral}, J. Funct. Spaces Appl. 2012, Article ID 281085, 17 p. (2012; Zbl 1247.46030) Full Text: DOI arXiv
Triebel, Hans Entropy and approximation numbers of limiting embeddings; an approach via Hardy inequalities and quadratic forms. (English) Zbl 1242.47018 J. Approx. Theory 164, No. 1, 31-46 (2012). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 47B06 41A46 47B38 PDF BibTeX XML Cite \textit{H. Triebel}, J. Approx. Theory 164, No. 1, 31--46 (2012; Zbl 1242.47018) Full Text: DOI
Haroske, Dorothee D.; Skrzypczak, Leszek Entropy numbers of embeddings of function spaces with Muckenhoupt weights. III: Some limiting cases. (English) Zbl 1253.46043 J. Funct. Spaces Appl. 9, No. 2, 129-178 (2011). Reviewer: Hans Triebel (Jena) MSC: 46E35 47B06 PDF BibTeX XML Cite \textit{D. D. Haroske} and \textit{L. Skrzypczak}, J. Funct. Spaces Appl. 9, No. 2, 129--178 (2011; Zbl 1253.46043) Full Text: DOI
Leopold, Hans-Gerd; Skrzypczak, Leszek Entropy numbers of embeddings of some 2-microlocal Besov spaces. (English) Zbl 1219.46033 J. Approx. Theory 163, No. 4, 505-523 (2011). Reviewer: Hans Triebel (Jena) MSC: 46E35 47B06 PDF BibTeX XML Cite \textit{H.-G. Leopold} and \textit{L. Skrzypczak}, J. Approx. Theory 163, No. 4, 505--523 (2011; Zbl 1219.46033) Full Text: DOI
Cobos, Fernando; Kühn, Thomas Approximation and entropy numbers in Besov spaces of generalized smoothness. (English) Zbl 1177.47029 J. Approx. Theory 160, No. 1-2, 56-70 (2009). MSC: 47B06 46E35 PDF BibTeX XML Cite \textit{F. Cobos} and \textit{T. Kühn}, J. Approx. Theory 160, No. 1--2, 56--70 (2009; Zbl 1177.47029) Full Text: DOI
Hinrichs, Aicke; Piotrowska, Iwona; Piotrowski, Mariusz On the degree of compactness of embeddings between weighted modulation spaces. (English) Zbl 1213.42078 J. Funct. Spaces Appl. 6, No. 3, 303-317 (2008). MSC: 42B35 46E35 41A46 47B06 PDF BibTeX XML Cite \textit{A. Hinrichs} et al., J. Funct. Spaces Appl. 6, No. 3, 303--317 (2008; Zbl 1213.42078) Full Text: DOI
Kühn, Thomas Entropy numbers in sequence spaces with an application to weighted function spaces. (English) Zbl 1145.47017 J. Approx. Theory 153, No. 1, 40-52 (2008). Reviewer: Joe Howard (Portales) MSC: 47B06 46E35 46B45 PDF BibTeX XML Cite \textit{T. Kühn}, J. Approx. Theory 153, No. 1, 40--52 (2008; Zbl 1145.47017) Full Text: DOI
Haroske, Dorothee D.; Skrzypczak, Leszek Entropy and approximation numbers of embeddings of function spaces with Muckenhoupt weights. I. (English) Zbl 1202.46039 Rev. Mat. Complut. 21, No. 1, 135-177 (2008). MSC: 46E35 42C40 41A46 47B06 42B35 PDF BibTeX XML Cite \textit{D. D. Haroske} and \textit{L. Skrzypczak}, Rev. Mat. Complut. 21, No. 1, 135--177 (2008; Zbl 1202.46039) Full Text: DOI EuDML
Skrzypczak, Leszek Wavelet frames, Sobolev embeddings and negative spectrum of Schrödinger operators on manifolds with bounded geometry. (English) Zbl 1186.46032 J. Fourier Anal. Appl. 14, No. 3, 415-442 (2008). Reviewer: Alan J. Pryde (Clayton) MSC: 46E35 42C40 47B06 35P15 PDF BibTeX XML Cite \textit{L. Skrzypczak}, J. Fourier Anal. Appl. 14, No. 3, 415--442 (2008; Zbl 1186.46032) Full Text: DOI
Kühn, Thomas; Leopold, Hans-Gerd; Sickel, Winfried; Skrzypczak, Leszek Entropy numbers of embeddings of weighted Besov spaces. III: Weights of logarithmic type. (English) Zbl 1144.41006 Math. Z. 255, No. 1, 1-15 (2007). Reviewer: Victor Milman (Minsk) MSC: 41A46 46E35 PDF BibTeX XML Cite \textit{T. Kühn} et al., Math. Z. 255, No. 1, 1--15 (2007; Zbl 1144.41006) Full Text: DOI
Vybiral, Jan Function spaces with dominating mixed smoothness. (English) Zbl 1101.46023 Diss. Math. 436, 1-73 (2006). Reviewer: Yuly Makovoz (Lowell) MSC: 46E35 PDF BibTeX XML Cite \textit{J. Vybiral}, Diss. Math. 436, 1--73 (2006; Zbl 1101.46023) Full Text: DOI Link
Kühn, Thomas Compact embeddings of function spaces. (English) Zbl 1079.47025 Kato, Mikio (ed.) et al., Proceedings of the international symposium on Banach and function spaces, Kitakyushu, Japan, October 2–4, 2003. Yokohama: Yokohama Publishers (ISBN 4-946552-14-6/pbk). 59-81 (2004). Reviewer: Josef Wloka (Kiel) MSC: 47B06 46E30 46-02 46B70 PDF BibTeX XML Cite \textit{T. Kühn}, in: Proceedings of the international symposium on Banach and function spaces, Kitakyushu, Japan, October 2--4, 2003. Yokohama: Yokohama Publishers. 59--81 (2004; Zbl 1079.47025)
Kühn, Thomas; Leopold, Hans-Gerd; Sickel, Winfried; Skrzypczak, Leszek Entropy numbers of Sobolev embeddings of radial Besov spaces. (English) Zbl 1047.47016 J. Approximation Theory 121, No. 2, 244-268 (2003). Reviewer: Joe Howard (Portales/New Mexico) MSC: 47B06 46E35 47B38 PDF BibTeX XML Cite \textit{T. Kühn} et al., J. Approx. Theory 121, No. 2, 244--268 (2003; Zbl 1047.47016) Full Text: DOI
Haroske, Dorothee Some logarithmic function spaces, entropy numbers, applications to spectral theory. (English) Zbl 0906.46027 Diss. Math. 373, 59 p. (1998). MSC: 46E35 46E30 41A46 35P15 35P20 35J70 PDF BibTeX XML Cite \textit{D. Haroske}, Diss. Math. 373, 59 p. (1998; Zbl 0906.46027)
Triebel, Hans Fractals and spectra related to Fourier analysis and function spaces. (English) Zbl 0898.46030 Monographs in Mathematics. 91. Basel: Birkhäuser Verlag. viii, 271 p. (1997). Reviewer: L.Pick (Praha) MSC: 46E35 28A80 46-02 47G30 47A10 PDF BibTeX XML Cite \textit{H. Triebel}, Fractals and spectra related to Fourier analysis and function spaces. Basel: Birkhäuser Verlag (1997; Zbl 0898.46030)
Edmunds, David E.; Triebel, Hans Function spaces, entropy numbers, differential operators. (English) Zbl 0865.46020 Cambridge Tracts in Mathematics. 120. Cambridge: Cambridge Univ. Press. xi, 252 p. (1996). Reviewer: S.G.Samko (Faro) MSC: 46E35 46E39 46-02 47B06 35P20 PDF BibTeX XML Cite \textit{D. E. Edmunds} and \textit{H. Triebel}, Function spaces, entropy numbers, differential operators. Cambridge: Cambridge Univ. Press (1996; Zbl 0865.46020)
Haroske, Dorothee; Triebel, Hans Entropy numbers in weighted function spaces and eigenvalue distributions of some degenerate pseudodifferential operators. I. (English) Zbl 0829.46019 Math. Nachr. 167, 131-156 (1994). MSC: 46E35 PDF BibTeX XML Cite \textit{D. Haroske} and \textit{H. Triebel}, Math. Nachr. 167, 131--156 (1994; Zbl 0829.46019) Full Text: DOI
Triebel, Hans Approximation numbers and entropy numbers of embeddings of fractional Besov-Sobolev spaces in Orlicz spaces. (English) Zbl 0792.46024 Proc. Lond. Math. Soc., III. Ser. 66, No. 3, 589-618 (1993). Reviewer: H.Triebel (Jena) MSC: 46E35 47B06 46E30 PDF BibTeX XML Cite \textit{H. Triebel}, Proc. Lond. Math. Soc. (3) 66, No. 3, 589--618 (1993; Zbl 0792.46024) Full Text: DOI
Edmunds, D. E.; Triebel, H. Entropy numbers and approximation numbers in function spaces. II. (English) Zbl 0778.46022 Proc. Lond. Math. Soc., III. Ser. 64, No. 1, 153-169 (1992). Reviewer: J.L.R.Webb (Glasgow) MSC: 46E35 41A46 PDF BibTeX XML Cite \textit{D. E. Edmunds} and \textit{H. Triebel}, Proc. Lond. Math. Soc. (3) 64, No. 1, 153--169 (1992; Zbl 0778.46022) Full Text: DOI
Vuillermot, Pierre-A. Compact embeddings for weighted Orlicz-Sobolov spaces on \({\mathbb R}^ N\). (English) Zbl 0611.46041 Math. Ann. 279, No. 1-2, 277-296 (1987). MSC: 46E35 47B06 PDF BibTeX XML Cite \textit{P.-A. Vuillermot}, Math. Ann. 279, No. 1--2, 277--296 (1987; Zbl 0611.46041) Full Text: DOI EuDML
Carl, Bernd Entropy numbers, entropy moduli, s-numbers, and eigenvalues of operators in Banach spaces. (English) Zbl 0576.47011 Semin. Anal. 1983/1984, 24-55 (1984). Reviewer: R.K.Bose MSC: 47B06 47B10 47A10 PDF BibTeX XML