A. A. Vasilyeva, “Kolmogorov widths and approximation numbers of Sobolev classes with singular weights”, Algebra i Analiz, 24:1 (2012), 3–39; St. Petersburg Math. J., 24:1 (2013), 1

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Algebra i Analiz, 2012, Volume 24, Issue 1, Pages 3–39 (Mi aa1267)

This article is cited in 6 scientific papers (total in 6 papers)

Research Papers

Kolmogorov widths and approximation numbers of Sobolev classes with singular weights

A. A. Vasilyeva

M. V. Lomonosov Moscow State University, Moscow, Russia

Full-text PDF (393 kB) Citations (6)

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Received: 15.06.2010

English version:
St. Petersburg Mathematical Journal, 2013, Volume 24, Issue 1, Pages 1–27
DOI: https://doi.org/10.1090/S1061-0022-2012-01229-X

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: A. A. Vasilyeva, “Kolmogorov widths and approximation numbers of Sobolev classes with singular weights”, Algebra i Analiz, 24:1 (2012), 3–39; St. Petersburg Math. J., 24:1 (2013), 1–27

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/aa1267

https://www.mathnet.ru/eng/aa/v24/i1/p3

This publication is cited in the following 6 articles:

E. N. Lomakina, M. G. Nasyrova, “Estimate for the entropy numbers of the weighted Hardy operators that act from Banach space to $q$ -Banach space”, Siberian Math. J., 60:4 (2019), 624–635
A. A. Vasil'eva, “Widths of weighted Sobolev classes with constraints $f(a)=\cdots= f^{(k-1)}(a)=f^{(k)}(b)=\cdots=f^{(r-1)}(b)=0$ and the spectra of nonlinear differential equations”, Russ. J. Math. Phys., 24:3 (2017), 376–398
A. A. Vasil'eva, “Embedding theorems for a weighted Sobolev class in the space $L_{q,v}$ with weights having a singularity at a point: case $v\notin L_q^1$ ”, Russ. J. Math. Phys., 23:3 (2016), 392–424
A. A. Vasil'eva, “Embeddings and widths of weighted Sobolev classes”, Eurasian Math. J., 6:3 (2015), 93–100
A. A. Vasil'eva, “Widths of weighted Sobolev classes on a John domain: strong singularity at a point”, Rev. Mat. Complut., 27:1 (2014), 167–212
A. A. Vasil'eva, “Kolmogorov and linear widths of the weighted Besov classes with singularity at the origin”, J. Approx. Theory, 167 (2013), 1–41

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	672
Full-text PDF :	196
References:	87
First page:	32

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