Commutators of integral operators with functions in Campanato spaces on Orlicz-Morrey spaces
| Autor: | Shi, Minglei, Arai, Ryutaro, Nakai, Eiichi |
|---|---|
| Rok vydání: | 2020 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We consider the commutators $[b,T]$ and $[b,I_{\rho}]$ on Orlicz-Morrey spaces, where $T$ is a Calder\'on-Zygmund operator, $I_{\rho}$ is a generalized fractional integral operator and $b$ is a function in generalized Campanato spaces. We give a necessary and sufficient condition for the boundedness of the commutators on Orlicz-Morrey spaces. To do this we prove the boundedness of generalized fractional maximal operators on Orlicz-Morrey spaces. Moreover, we introduce Orlicz-Campanato spaces and establish their relations to Orlicz-Morrey spaces. Comment: 45 pages. arXiv admin note: text overlap with arXiv:1812.09148 |
| Databáze: | arXiv |
| Externí odkaz: |
|