Boundedness for variable fractional integral operators and their commutators on Herz-Hardy spaces with variable exponent

Authors: YINPING XIN

Abstract: Let $E\subset\mathbb{R}^n$ be a bounded open set. In this paper, we establish the boundedness of variable fractional integral operators and their commutators on variable Herz-Hardy spaces $H\dot{K}^{\alpha(\cdot),q(\cdot)}_{p(\cdot)}(E)$ with three variable exponents by using the atomic decomposition.

Keywords: Variable fractional integral operator, commutator, variable exponent Herz space, variable exponent Herz-Hardy space

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