[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.j150771

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

Wang, Hongbin (School of Science Shandong University of Technology)

Publication Information

Journal of the Korean Mathematical Society / v.54, no.3, 2017 , pp. 713-732 More about this Journal

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;

Citations & Related Records

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