Abstract
We establish two-weight norm inequalities for singular integral operators and fractional integral operators on Morrey spaces. As a consequence of these inequalities, we obtain two-weight Poincaré and Sobolev inequalities on Morrey spaces. Moreover, we also establish the Stein–Weiss inequality, the Hardy inequality and the Rellich inequality on Morrey spaces. Copyright © 2017 Research Institute for Mathematical Sciences, Kyoto University.
| Original language | English |
|---|---|
| Pages (from-to) | 119-139 |
| Journal | Publications of the Research Institute for Mathematical Sciences |
| Volume | 53 |
| Issue number | 1 |
| Early online date | Feb 2017 |
| DOIs | |
| Publication status | Published - Mar 2017 |
Citation
Ho, K.-P. (2017). Two-weight norm, poincaré, sobolev and stein–weiss inequalities on morrey spaces. Publications of the Research Institute for Mathematical Sciences, 53(1), 119-139.Keywords
- Fractional integral operator
- Hardy inequality
- Morrey space
- Poincaré inequality
- Rellich inequality
- Singular integral operator
- Sobolev inequality
- Stein–Weiss inequality
- Two-weight norm inequality