Multilinear Calderon-Zygmund operators and their commutators on central Morrey spaces with variable exponent
- Resource Type
- Article
- Authors
- Liwei Wang
- Source
- 대한수학회보, 57(6), pp.1427-1449 Nov, 2020
- Subject
- 수학
- Language
- English
- ISSN
- 2234-3016
1015-8634
In this paper, we establish the boundedness of the $m$-linear Calder\'{o}n-Zygmund operators on product of central Morrey spaces with variable exponent. The corresponding boundedness properties of their commutators with $\lambda$-central {\rm BMO} symbols are also considered. Finally, we prove that the multilinear commutators of Calder\'{o}n-Zygmund singular integrals introduced by P\'{e}rez and Trujillo-Gonz\'{a}lez are bounded on central Morrey spaces with variable exponent. Our results improve and generalize some previous classical results to the variable exponent setting.