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Dal'nevostochnyi Matematicheskii Zhurnal, 2021, Volume 21, Number 2, Pages 215–230
DOI: https://doi.org/10.47910/FEMJ202118 (Mi dvmg459) 		 
The estimates of the Schatten–Neumann norms of one class of integral operators

E. N. Lomakinaab, M. S. Sarychevab

a Computer Centre of Far Eastern Branch RAS, Khabarovsk
b Far Eastern State Transport University
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DOI: https://doi.org/10.47910/FEMJ202118
Abstract: The article considers an integral operator acting from Lebesque spaces to Lorentz spaces. The conditions are found under which the compact operator belongs to the Shatten–Neumann classes.
Key words: Lebesque spaces, Lorentz spaces, integral operator, approximation numbers, Shatten–Neumann norms.
Received: 10.10.2021
Document Type: Article
UDC: 517.51
MSC: Primary 46E30; Secondary 47B38
Language: Russian
Citation: E. N. Lomakina, M. S. Sarychev, “The estimates of the Schatten–Neumann norms of one class of integral operators”, Dal'nevost. Mat. Zh., 21:2 (2021), 215–230
Citation in format AMSBIB
\Bibitem{LomSar21}
\by E.~N.~Lomakina, M.~S.~Sarychev
\paper The estimates of the Schatten--Neumann norms of one class of integral operators
\jour Dal'nevost. Mat. Zh.
\yr 2021
\vol 21
\issue 2
\pages 215--230
\mathnet{http://mi.mathnet.ru/dvmg459}
\crossref{https://doi.org/10.47910/FEMJ202118}
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