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Sibirskii Matematicheskii Zhurnal, 2024, Volume 65, Number 2, Pages 332–348
DOI: https://doi.org/10.33048/smzh.2024.65.208 (Mi smj7858) 		 
Estimates for the norm of the hardy operator in operator ideals

E. N. Lomakina, M. G. Nasyrova

Computer Centre of Far Eastern Branch RAS, Khabarovsk
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DOI: https://doi.org/10.33048/smzh.2024.65.208
Abstract: We find the conditions for a compact Hardy operator in Lorentz spaces to belong to the operator ideals generated by sequences of $s$-numbers. We obtain some estimates of the norms of the Hardy operator in these ideals in terms of integral expressions depending on the weight functions of the operator.
Keywords: operator ideal, Hardy operator, Lorentz spaces, approximation numbers, $s$-numbers.
Received: 16.08.2023
Revised: 25.10.2023
Accepted: 28.11.2023
Document Type: Article
UDC: 517.98
MSC: 35R30
Language: Russian
Citation: E. N. Lomakina, M. G. Nasyrova, “Estimates for the norm of the hardy operator in operator ideals”, Sibirsk. Mat. Zh., 65:2 (2024), 332–348
Citation in format AMSBIB
\Bibitem{LomNas24}
\by E.~N.~Lomakina, M.~G.~Nasyrova
\paper Estimates for~the norm of~the hardy operator in~operator ideals
\jour Sibirsk. Mat. Zh.
\yr 2024
\vol 65
\issue 2
\pages 332--348
\mathnet{http://mi.mathnet.ru/smj7858}
\crossref{https://doi.org/10.33048/smzh.2024.65.208}
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