Abstract
We obtain some estimates for the operator norms of the dilation operators on Herz-Morrey spaces. These results give us the Hardy's inequalities and the mapping properties of the integral operators on Herz-Morrey spaces. As applications of this general result, we have the boundedness of the Hadamard fractional integrals on Herz-Morrey spaces. We also obtain the Hilbert inequality on Herz-Morrey spaces. Copyright © 2020 Tat-Leung Yee and Kwok-Pun Ho, published by De Gruyter.
| Original language | English |
|---|---|
| Pages (from-to) | 106-121 |
| Journal | Open Mathematics |
| Volume | 18 |
| Issue number | 1 |
| Early online date | Mar 2020 |
| DOIs | |
| Publication status | Published - 2020 |
Citation
Yee, T.-L., & Ho, K.-P. (2020). Hardy's inequalities and integral operators on Herz-Morrey spaces. Open Mathematics, 18(1), 106-121. doi: 10.1515/math-2020-0008Keywords
- Herz spaces
- Morrey spaces
- Central Morrey space
- Hardy’s inequalities
- Integral operators
- Boyd's indices
- Hadamard fractional integrals
- Hilbert inequality
