Email this article On the compactness of convolution-type operators in Morrey spaces
- Authors: Avsyankin O.G.1
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Affiliations:
- Southern Federal University
- Issue: Vol 102, No 3-4 (2017)
- Pages: 437-443
- Section: Article
- URL: https://journal-vniispk.ru/0001-4346/article/view/150130
- DOI: https://doi.org/10.1134/S0001434617090152
- ID: 150130
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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.
About the authors
O. G. Avsyankin
Southern Federal University
Author for correspondence.
Email: avsyanki@math.rsu.ru
Russian Federation, Rostov-on-Don
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