Boundedness of some integral operators and commutators on homogeneous Herz spaces with three variable exponents

Abstract

We obtain the boundedness of some integral operators and commutators on homogeneous Herz spaces with three variable exponents {{\displaystyle \dot{K}}}_{p(\cdot ),q(\cdot )}^{\alpha (\cdot )}, such as some sublinear operators, the fractional integral and its commutator.

Keywords

Sublinear operator / fractional integral / commutator / homogeneous Herz space / variable exponent

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