Abstract
The paper establishes some sufficient conditions for the boundedness of singular integral operators and their commutators from products of variable exponent Herz spaces to variable exponent Herz spaces.
Highlights
In recent years, the interest in multilinear analysis for studying boundedness properties of multilinear integral operators has grown rapidly
The subject was founded by Coifman and Meyer [1] in their seminal work on singular integral operators like Calderon commutators and pseudosdifferential operators having multiparameter function input
Huang and Xu [10] proved the boundedness of such integral operators on the product of variable exponent Lebesgue space
Summary
The interest in multilinear analysis for studying boundedness properties of multilinear integral operators has grown rapidly. Huang and Xu [10] proved the boundedness of such integral operators on the product of variable exponent Lebesgue space. In this paper we will study the multilinear singular integral on Herz space with variable exponent.
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