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Matematicheskie Zametki, 2018, Volume 104, Issue 3, Pages 336–344
DOI: https://doi.org/10.4213/mzm12108 (Mi mzm12108) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Compactness of Some Operators of Convolution Type in Generalized Morrey Spaces

O. G. Avsyankin

Southern Federal University, Rostov-on-Don
Full-text PDF (485 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm12108
Abstract: Sufficient conditions for the compactness in generalized Morrey spaces of the composition of a convolution operator and the operator of multiplication by an essentially bounded function are obtained. Very weak conditions on the function are also obtained under which the commutator of the operator of multiplication by such a function and a convolution operator is compact. The compactness of convolution operators in domains of cone type is investigated.
Keywords: generalized Morrey space, convolution operator, multiplication operator, commutator, compactness.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00094-A
18-51-06005-Аз_а
This work was financially supported by the Russian Foundation for Basic Research under grants no. 18-01-00094-A and no. 18-51-06005-Az_a.
Received: 30.11.2017
English version:
Mathematical Notes, 2018, Volume 104, Issue 3, Pages 331–338
DOI: https://doi.org/10.1134/S000143461809002X
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: O. G. Avsyankin, “Compactness of Some Operators of Convolution Type in Generalized Morrey Spaces”, Mat. Zametki, 104:3 (2018), 336–344; Math. Notes, 104:3 (2018), 331–338
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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