# COMMUTATORS OF SINGULAR INTEGRAL OPERATOR ON HERZ-TYPE HARDY SPACES WITH VARIABLE EXPONENT

• Wang, Hongbin (School of Science Shandong University of Technology)
• Published : 2017.05.01
• 38 29

#### Abstract

Let ${\Omega}{\in}L^s(S^{n-1})$ for s > 1 be a homogeneous function of degree zero and b be BMO functions or Lipschitz functions. In this paper, we obtain some boundedness of the $Calder{\acute{o}}n$-Zygmund singular integral operator $T_{\Omega}$ and its commutator [b, $T_{\Omega}$] on Herz-type Hardy spaces with variable exponent.

#### Keywords

Herz-type Hardy space;variable exponent;$Calder{\acute{o}}n$-Zygmund singular integral;commutator

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