Abstract
This paper extends the mapping properties of the general Hardy-type operators to local generalized Morrey spaces built on ball quasi-Banach function spaces. As applications of the main result, we establish the two weight norm inequalities of the Hardy operators to the local generalized Morrey spaces, the mapping properties of the Riemann-Liouville integrals on local generalized Morrey spaces built on rearrangement-invariant quasi-Banach function spaces, the Hardy inequalities on the local generalized Morrey spaces with variable exponents. Copyright © 2025 Tuncer ACAR.
| Original language | English |
|---|---|
| Pages (from-to) | 1-14 |
| Journal | Constructive Mathematical Analysis |
| Volume | 8 |
| Issue number | 1 |
| Early online date | Jan 2025 |
| DOIs | |
| Publication status | Published - Mar 2025 |
Citation
Yee, T.-L., & Ho, K. P. (2025). General Hardy-type operators on local generalized Morrey spaces. Constructive Mathematical Analysis, 8(1), 1-14. https://doi.org/10.33205/cma.1531860Keywords
- General Hardy-type operator
- Hardy inequality
- Riemann-Liouville integrals
- Local generalized Morrey spaces
- Ball Banach function spaces
- Rearrangement-invariant
- Variable exponents