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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2019, Number 6, Pages 3–10
DOI: https://doi.org/10.26907/0021-3446-2019-6-3-10 (Mi ivm9468) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On invertibility of convolution type operators in Morrey spaces

O. G. Avsyankin

Southern Federal University, 8a Mil'chakova str., Rostov-on-Don, 344090 Russia
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DOI: https://doi.org/10.26907/0021-3446-2019-6-3-10
Abstract: We consider integral convolution operators in the Morrey spaces. For these operators we obtain the necessary and sufficient conditions of their invertibility. Moreover, we study the Banach algebra generated by all convolution operators with summable kernels and identity operator. For this algebra we construct the symbolic calculus, in terms of which we obtain the invertibility criterion of convolution operators.
Keywords: Morrey space, convolution operator, symbol, invertibility, Banach algebra.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00094_а
18-51-06005-Aз_a
Received: 04.05.2018
Revised: 11.09.2018
Accepted: 19.12.2018
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2019, Volume 63, Issue 6, Pages 1–7
DOI: https://doi.org/10.3103/S1066369X1906001X
Bibliographic databases:
Document Type: Article
UDC: 517.968
Language: Russian
Citation: O. G. Avsyankin, “On invertibility of convolution type operators in Morrey spaces”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 6, 3–10; Russian Math. (Iz. VUZ), 63:6 (2019), 1–7
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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