Turkish Journal of Mathematics
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.
DOI
10.55730/1300-0098.3148
Keywords
Variable fractional integral operator, commutator, variable exponent Herz space, variable exponent Herz-Hardy space
First Page
1132
Last Page
1152
Recommended Citation
XIN, Y (2022). Boundedness for variable fractional integral operators and their commutators on Herz-Hardy spaces with variable exponent. Turkish Journal of Mathematics 46 (4): 1132-1152. https://doi.org/10.55730/1300-0098.3148
