Email this article Compactness of Some Operators of Convolution Type in Generalized Morrey Spaces
- Authors: Avsyankin O.G.1
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Affiliations:
- Institute of Mathematics, Mechanics and Computer Sciences
- Issue: Vol 104, No 3-4 (2018)
- Pages: 331-338
- Section: Article
- URL: https://ogarev-online.ru/0001-4346/article/view/151316
- DOI: https://doi.org/10.1134/S000143461809002X
- ID: 151316
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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.
About the authors
O. G. Avsyankin
Institute of Mathematics, Mechanics and Computer Sciences
Author for correspondence.
Email: avsyanki@math.rsu.ru
Russian Federation, Rostov-on-Don, 344090
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