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Matematicheskie Zametki, 2024, Volume 115, Issue 3, Pages 422–438
DOI: https://doi.org/10.4213/mzm14121 (Mi mzm14121) 		 
Approximation Numbers of the Two-Dimensional Rectangular Hardy Operator

V. D. Stepanova, E. P. Ushakovab

a Computer Centre of Far Eastern Branch RAS, Khabarovsk
b V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow
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DOI: https://doi.org/10.4213/mzm14121
Abstract: Upper and lower bounds are obtained for the approximation numbers of the two-dimensional rectangular Hardy operator on weighted Lebesgue spaces on $\mathbb{R}_+^2$.
Keywords: two-dimensional Hardy integral operator, weighted Lebesgue space, approximation number.
Funding agency Grant number
Russian Science Foundation 22-21-00579
Ministry of Science and Higher Education of the Russian Federation
The work on Sections 1 and 2 was financially supported by the Russian Science Foundation, grant no. 22-21-00579, https://rscf.ru/en/project/22-21-00579/, and performed at the Computer Centre of Far Eastern Branch of Russian Academy of Sciences. The work on the remaining part of the paper was performed in the framework of government orders of the Ministry of Science and Higher Education of the Russian Federation to Computer Centre of Far Eastern Branch of Russian Academy of Sciences and V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences.
Received: 28.07.2023
Revised: 30.10.2023
English version:
Mathematical Notes, 2024, Volume 115, Issue 3, Pages 390–404
DOI: https://doi.org/10.1134/S0001434624030118
Bibliographic databases:
Document Type: Article
UDC: 517.51
Language: Russian
Citation: V. D. Stepanov, E. P. Ushakova, “Approximation Numbers of the Two-Dimensional Rectangular Hardy Operator”, Mat. Zametki, 115:3 (2024), 422–438; Math. Notes, 115:3 (2024), 390–404
Citation in format AMSBIB
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\by V.~D.~Stepanov, E.~P.~Ushakova
\paper Approximation Numbers
of the Two-Dimensional Rectangular Hardy Operator
\jour Mat. Zametki
\yr 2024
\vol 115
\issue 3
\pages 422--438
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\crossref{https://doi.org/10.4213/mzm14121}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4767913}
\transl
\jour Math. Notes
\yr 2024
\vol 115
\issue 3
\pages 390--404
\crossref{https://doi.org/10.1134/S0001434624030118}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85197705936}
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