Multilinear Calderón-Zygmund Operators and Their Commutators with BMO Functions in Herz-Morrey Spaces with Variable Smoothness and Integrability

Authors

  • Yuanzhu Hu School of Mathematics and Statistics, Hainan Normal University, Haikou, 571158
  • Jingshi Xu School of Mathematics and Statistics, Hainan Normal University, Haikou, 571158

DOI:

https://doi.org/10.13447/j.1674-5647.2017.03.05

Keywords:

multilinear Calderón-Zygmund operator, variable exponent, Herz-Morrey space, vector valued estimate

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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Published

2019-11-22

Issue

Vol. 33 No. 3 (2017)

Section

Articles