Multilinear Calderón-Zygmund Operators and Their Commutators with BMO Functions in Herz-Morrey Spaces with Variable Smoothness and Integrability
Year: 2017
Author: Yuanzhu Hu, Jingshi Xu
Communications in Mathematical Research , Vol. 33 (2017), Iss. 3 : pp. 238–258
Abstract
In this paper, we obtain that multilinear Calderón-Zygmund operators and their commutators with BMO functions are bounded on products of Herz-Morrey spaces with variable smoothness and integrability. The vector-valued setting of multilinear Calderón-Zygmund operators is also considered.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2017.03.05
Communications in Mathematical Research , Vol. 33 (2017), Iss. 3 : pp. 238–258
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: multilinear Calderón-Zygmund operator variable exponent Herz-Morrey space vector valued estimate