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Compactness of Some Operators of Convolution Type in Generalized Morrey Spaces.
- Source :
-
Mathematical Notes . Sep2018, Vol. 104 Issue 3/4, p331-338. 8p. - Publication Year :
- 2018
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00014346
- Volume :
- 104
- Issue :
- 3/4
- Database :
- Academic Search Index
- Journal :
- Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 133056046
- Full Text :
- https://doi.org/10.1134/S000143461809002X