Abstract
We establish the mapping properties of the fractional integral operators on the Herz-Hardy spaces with variable exponents by using extrapolation. In particular, our main results yield the mapping properties for the fractional integral operators on the Herz-Hardy spaces. Copyright © 2022 The Belgian Mathematical Society.
| Original language | English |
|---|---|
| Pages (from-to) | 723-736 |
| Journal | Bulletin of the Belgian Mathematical Society - Simon Stevin |
| Volume | 28 |
| Issue number | 5 |
| Early online date | 16 Sept 2022 |
| DOIs | |
| Publication status | Published - Sept 2022 |
Citation
Ho, K.-P. (2022). Mapping properties of the fractional integral operators on Herz-Hardy spaces with variable exponents. Bulletin of the Belgian Mathematical Society - Simon Stevin, 28(5), 723-736. doi: 10.36045/j.bbms.211026Keywords
- Extrapolation
- Fractional integral operators
- Hardy space
- Herz spaces
- Homogeneous spaces
- Variable exponents
