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Matematicheskie Zametki, 2017, Volume 102, Issue 4, Pages 483–489
DOI: https://doi.org/10.4213/mzm11405 (Mi mzm11405) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the Compactness of Convolution-Type Operators in Morrey Spaces

O. G. Avsyankin

Southern Federal University, Rostov-on-Don
Full-text PDF (450 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm11405
Abstract: In a Morrey space, the product of the convolution operator with summable kernel and the operator of multiplication by an essentially bounded function is considered. Sufficient conditions for such a product to be compact are obtained. In addition, it is shown that the commutator of the convolution operator and the operator of multiplication by a function of weakly oscillating type is compact in a Morrey space.
Keywords: convolution operator, multiplication operator, Morrey space, commutator, compactness.
Funding agency Grant number
Southern Federal University ВнГр-07/2017-31
This work was supported by Southern Federal University under internal grant VnGr-07/2017-31.
Received: 07.10.2016
Revised: 20.02.2017
English version:
Mathematical Notes, 2017, Volume 102, Issue 4, Pages 437–443
DOI: https://doi.org/10.1134/S0001434617090152
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: O. G. Avsyankin, “On the Compactness of Convolution-Type Operators in Morrey Spaces”, Mat. Zametki, 102:4 (2017), 483–489; Math. Notes, 102:4 (2017), 437–443
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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