Boundedness of Rough Singular Integral Operators on Homogeneous Herz Spaces with Variable Exponents

Authors

  • Jinling Cai College of Science, Dalian Maritime University, Dalian 116026, China
  • Baohua Dong Department of Mathematics, Nanjing University of Information Science and Technology, Nanjing 210044, China
  • Canqin Tang College of Science, Dalian Maritime University, Dalian 116026, China

DOI:

https://doi.org/10.4208/jms.v53n3.20.04

Keywords:

Rough singular integral operator, commutator, Herz spaces with variable exponents, BMO spaces.

Abstract

We establish the boundedness of rough singular integral operators on homogeneous Herz spaces with variable exponents. As an application, we obtain the boundedness of related commutators with BMO functions on homogeneous Herz spaces with variable exponents.

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Published

2020-05-28

Issue

Vol. 53 No. 3 (2020)

Section

Articles