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Tr. Mat. Inst. Steklova, 2013, Volume 283, Pages 267–287
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Upper estimates for the approximation numbers of the generalized Laplace transform
E. P. Ushakova
Computer Centre Far-Eastern Branch of RAS, Khabarovsk, Russia
Abstract:
A Laplace-transform-type operator $\mathcal L$ acting in the Lebesgue spaces of real functions on the half-axis is considered. Sufficient conditions under which $\mathcal L$ belongs to some Schatten-type classes are found. Upper asymptotic estimates for the approximation numbers of $\mathcal L$ are obtained.
DOI:
https://doi.org/10.1134/S0371968513040183
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English version:
Proceedings of the Steklov Institute of Mathematics, 2013, 283, 260–280
Bibliographic databases:
  
UDC:
517.51
Received in September 2012
Citation:
E. P. Ushakova, “Upper estimates for the approximation numbers of the generalized Laplace transform”, Function theory and equations of mathematical physics, Collected papers. In commemoration of the 90th anniversary of Lev Dmitrievich Kudryavtsev's birth, Tr. Mat. Inst. Steklova, 283, MAIK Nauka/Interperiodica, Moscow, 2013, 267–287; Proc. Steklov Inst. Math., 283 (2013), 260–280
Citation in format AMSBIB
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\paper Upper estimates for the approximation numbers of the generalized Laplace transform
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\bookinfo Collected papers. In commemoration of the 90th anniversary of Lev Dmitrievich Kudryavtsev's birth
\serial Tr. Mat. Inst. Steklova
\yr 2013
\vol 283
\pages 267--287
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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\jour Proc. Steklov Inst. Math.
\yr 2013
\vol 283
\pages 260--280
\crossref{https://doi.org/10.1134/S008154381308018X}
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Linking options:
http://mi.mathnet.ru/eng/tm3502https://doi.org/10.1134/S0371968513040183 http://mi.mathnet.ru/eng/tm/v283/p267
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