|
This article is cited in 4 scientific papers (total in 4 papers)
Estimates for the approximation numbers of one class of integral operators. II
E. N. Lomakina
Computer Centre Far-Eastern Branch of RAS
Abstract:
We obtain estimates for the Schatten–von Neumann norms of the approximation numbers of Hardy integral operator with variable limits of integration.
Keywords:
Hardy operator, approximation numbers, Schatten–von Neumann norm
 Full text:
PDF file (241 kB)
References:
PDF file
HTML file
English version:
Siberian Mathematical Journal, 2003, 44:2, 298–310
Bibliographic databases:
  
UDC:
517.51
Received: 13.02.2002
Citation:
E. N. Lomakina, “Estimates for the approximation numbers of one class of integral operators. II”, Sibirsk. Mat. Zh., 44:2 (2003), 372–388; Siberian Math. J., 44:2 (2003), 298–310
Citation in format AMSBIB
\Bibitem{Lom03}
\by E.~N.~Lomakina
\paper Estimates for the approximation numbers of one class of integral operators.~II
\jour Sibirsk. Mat. Zh.
\yr 2003
\vol 44
\issue 2
\pages 372--388
\mathnet{http://mi.mathnet.ru/smj1182}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1981374}
\zmath{https://zbmath.org/?q=an:1029.47028}
\transl
\jour Siberian Math. J.
\yr 2003
\vol 44
\issue 2
\pages 298--310
\crossref{https://doi.org/10.1023/A:1022988905490}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000182502000012}
Linking options:
http://mi.mathnet.ru/eng/smj1182 http://mi.mathnet.ru/eng/smj/v44/i2/p372
Citing articles on Google Scholar:
Russian citations,
English citations
Related articles on Google Scholar:
Russian articles,
English articles
Cycle of papers
This publication is cited in the following articles:
-
E. P. Ushakova, “Upper estimates for the approximation numbers of the generalized Laplace transform”, Proc. Steklov Inst. Math., 283 (2013), 260–280
  -
M. G. Nasyrova, E. P. Ushakova, “Hardy–Steklov operators and Sobolev-type embedding inequalities”, Proc. Steklov Inst. Math., 293 (2016), 228–254
-
D. V. Prokhorov, V. D. Stepanov, E. P. Ushakova, “Hardy–Steklov Integral Operators”, Proc. Steklov Inst. Math., 300, suppl. 2 (2018), 1–112
-
V. D. Stepanov, E. P. Ushakova, “Hardy–Steklov Operators and the Duality Principle in Weighted First-Order Sobolev Spaces on the Real Axis”, Math. Notes, 105:1 (2019), 91–103
|
| Number of views: |
| This page: | 138 | | Full text: | 40 | | References: | 29 |
|
Terms of Use