Abstract
We give a definition of singular integral operators on Morrey-Banach spaces which include Orlicz-Morrey spaces and Morrey spaces with variable exponents. The main result of this paper ensures that the singular integral operator is well defined on the Morrey-Banach spaces. Therefore, it provides a solid foundation for the study of singular integral operators on Morrey type spaces. As an application of our main result, we study the commutators of singular integral operators on Morrey-Banach spaces. Copyright © 2018 the Mathematical Society of Japan.
Original language | English |
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Pages (from-to) | 155-170 |
Journal | Journal of the Mathematical Society of Japan |
Volume | 72 |
Issue number | 1 |
Early online date | 19 Jul 2019 |
DOIs | |
Publication status | Published - Jan 2020 |
Citation
Ho, K.-P. (2020). Definability of singular integral operators on Morrey-Banach spaces. Journal of the Mathematical Society of Japan, 72(1), 155-170. doi: 10.2969/jmsj/81208120Keywords
- Singular integral operator
- Morrey space
- Banach function space
- Variable exponent analysis