Estimates for commutators of fractional Hardy and Hardy-Littlewood-Pólya operators on grand variable Herz-Morrey spaces

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Abstract

The aim of this paper was to discuss the boundedness of commutators of fractional Hardy and Hardy-Littlewood-Pólya operators on grand Herz-Morrey spaces with two variable exponents η(·), q(·). We proved that the fractional Hardy and Hardy-Littlewood-Pólya operators are bounded on grand variable Herz-Morrey spaces, where the symbols of the commutators belong to Lipschitz spaces.

Keywords

Hardy-Littlewood-Pólya operator / fractional Hardy-type operator / variable exponent Herz-Morrey space / commutator

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