Boundedness of Commutators for Multilinear Marcinkiewicz Integrals with Generalized Campanato Functions on Generalized Morrey Spaces
Year: 2023
Author: Fuli Ku
Journal of Mathematical Study, Vol. 56 (2023), Iss. 4 : pp. 411–437
Abstract
This paper is devoted to exploring the mapping properties for the commutator μΩ,→b generated by multilinear Marcinkiewicz integral operators μΩ with a locally integrable function →b=(b1,···,bm) on the generalized Morrey spaces. μΩ,→b is bounded from L(p1,φ1)(Rn)×···×L(pm,φm)(Rn) to L(q,φ)(Rn), where L(pi,φi)(Rn), L^{(q,φ)} (\mathbb{R}^n) are generalized Morrey spaces with certain variable growth condition, that b_j(j=1,···,m) is a function in generalized Campanato spaces, which contain the BMO(\mathbb{R}^n) and the Lipschitz spaces {\rm Lip}_α(\mathbb{R}^n) (0<α≤1) as special examples.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v56n4.23.07
Journal of Mathematical Study, Vol. 56 (2023), Iss. 4 : pp. 411–437
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 27
Keywords: Multilinear Marcinkiewicz integrals commutators generalized Campanato spaces generalized Morrey spaces.
Author Details
Fuli Ku Email