Vector-Valued Inequalities for Commutators of Singular Integrals on Herz Spaces with Variable Exponents

Authors

  • Liwei Wang School of Mathematics and Physics, Anhui Polytechnic University, Wuhu, Anhui, 241000
  • Meng Qu School of Mathematics and Computer Science, Anhui Normal University, Wuhu, Anhui, 241003
  • Lisheng Shu School of Mathematics and Statistics, Anhui Normal University, Wuhu, Anhui, 241003

DOI:

https://doi.org/10.13447/j.1674-5647.2017.04.09

Keywords:

variable exponent, Herz spaces, commutator, singular integral

Abstract

Based on the theory of variable exponents and BMO norms, we prove the vector-valued inequalities for commutators of singular integrals on both homogeneous and inhomogeneous Herz spaces where the two main indices are variable exponents. Furthermore, we show that a wide class of commutators generated by BMO functions and sublinear operators satisfy vector-valued inequalities.

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Published

2019-11-22

Issue

Vol. 33 No. 4 (2017)

Section

Articles