Two-weight norm inequalities on Morrey spaces
Abstract
A description of all the admissible weights similar to the Muckenhoupt class $A_p$ is an open problem for the weighted Morrey spaces. In this paper necessary condition and sufficient condition for two-weight norm inequalities on Morrey spaces to hold are given for the Hardy-Littlewood maximal operator. Necessary and sufficient condition is also verified for the power weights.
- Publication:
-
arXiv e-prints
- Pub Date:
- April 2014
- DOI:
- 10.48550/arXiv.1404.2692
- arXiv:
- arXiv:1404.2692
- Bibcode:
- 2014arXiv1404.2692T
- Keywords:
-
- Mathematics - Classical Analysis and ODEs;
- 42B25;
- \;
- 42B35