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Eurasian Mathematical Journal, 2020, Volume 11, Number 4, Pages 87–94
DOI: https://doi.org/10.32523/2077-9879-2020-11-4-87-94 (Mi emj385) 		 
This article is cited in 6 scientific papers (total in 6 papers)

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Interpolation theorems for nonlinear urysohn integral operators in general Morrey-type spaces

V. I. Burenkovab, E. D. Nursultanovcd

a S.M. Nikol'skii Institute of Mathematics, RUDN University, 6 Miklukho Maklay St, 117198 Moscow, Russia
b V.A. Steklov Institute of Mathematics, Russian Academy of Sciences, 42 Vavilov St, 117966 Moscow, Russia
c Lomonosov Moscow State University (Kazakhstan branch), 11 Kazhimukan St, 010010 Astana, Kazakhstan
d L.N. Gumilyov Eurasian National University, 2 Mirzoyan St, 010008 Astana, Kazakhstan
Full-text PDF (437 kB) Citations (6)
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DOI: https://doi.org/10.32523/2077-9879-2020-11-4-87-94
Abstract: In this paper, we present new interpolation theorems for nonlinear Urysohn integral operators. In particular, interpolation theorems of Marcinkiewicz–Calderon type and Stein–Weiss–Peetre type are obtained.
Keywords and phrases: Urysohn integral operators, interpolation theorems, general Morrey-type spaces.
Funding agency Grant number
Russian Science Foundation 19-11-00087
Ministry of Education and Science of the Russian Federation
Ministry of Education and Science of the Republic of Kazakhstan AP 08856479
The research of V.I. Burenkov, Sections 1-2, was carried out with the financial support of the Russian Science Foundation (project 19-11-00087) at the V.A. Steklov Mathematical Institute of the Russian Academy of Sciences. His research, Sections 3-4, was carried out with the financial support of the Programme 5-100 of the Peoples’ Friendship University of Russia (RUDN University) at the S.M. Nikol’skii Mathematical Institute. Both authors were supported by the Ministry of Education and Science of the Republic of Kazakhstan (project AP 08856479).
Received: 31.05.2020
Bibliographic databases:
Document Type: Article
MSC: 42B35, 46E30, 47B38, 46B70
Language: English
Citation: V. I. Burenkov, E. D. Nursultanov, “Interpolation theorems for nonlinear urysohn integral operators in general Morrey-type spaces”, Eurasian Math. J., 11:4 (2020), 87–94
Citation in format AMSBIB
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\by V.~I.~Burenkov, E.~D.~Nursultanov
\paper Interpolation theorems for nonlinear urysohn integral operators in general Morrey-type spaces
\jour Eurasian Math. J.
\yr 2020
\vol 11
\issue 4
\pages 87--94
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