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Eurasian Mathematical Journal, 2021, Volume 12, Number 1, Pages 92–96
DOI: https://doi.org/10.32523/2077-9879-2021-12-1-92-96 (Mi emj395) 		 
This article is cited in 2 scientific papers (total in 2 papers)

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On integral operators with homogeneous kernels in Morrey spaces

O. G. Avsyankin

Institute of Mathematics, Mechanics and Computer Sciences, Regional Mathematical Center, Southern Federal University, 8a Mil'chakova St, 344090 Rostov-on-Don, Russia
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DOI: https://doi.org/10.32523/2077-9879-2021-12-1-92-96
Abstract: We consider integral operators with homogeneous kernels in Morrey spaces. For such operators we obtain sufficient conditions of their boundedness. Moreover, for an operator, which is the sum of the identity operator and an operator with a homogeneous kernel, we prove the invertibility criterion.
Keywords and phrases: Morrey space, integral operator, homogeneous kernel, boundedness, symbol, invertibility.
Funding agency Grant number
Russian Foundation for Basic Research 20–51–56015
This work is supported by the Russian Foundation for Basic Research, project no. 20–51–56015.
Received: 25.10.2019
Bibliographic databases:
Document Type: Article
MSC: 47G10
Language: English
Citation: O. G. Avsyankin, “On integral operators with homogeneous kernels in Morrey spaces”, Eurasian Math. J., 12:1 (2021), 92–96
Citation in format AMSBIB
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\by O.~G.~Avsyankin
\paper On integral operators with homogeneous kernels in Morrey spaces
\jour Eurasian Math. J.
\yr 2021
\vol 12
\issue 1
\pages 92--96
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