Article Title

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

Authors

YINPING XIN

DOI

10.55730/1300-0098.3148

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

First Page

1132

Last Page

1152

Recommended Citation

XIN, YINPING (2022) "Boundedness for variable fractional integral operators and their commutators on Herz-Hardy spaces with variable exponent," Turkish Journal of Mathematics: Vol. 46: No. 4, Article 1. https://doi.org/10.55730/1300-0098.3148
Available at: https://journals.tubitak.gov.tr/math/vol46/iss4/1