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

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...

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Bibliographic Details
Published in:	Journal of the Korean Mathematical Society Vol. 54; no. 3; pp. 713 - 732
Main Author:	Wang, Hongbin
Format:	Journal Article
Language:	Korean
Published:	2017
Subjects:	commutator Herz-type Hardy space variable exponent Calder{\acute{o}}n$-Zygmund singular integral
Online Access:	Get full text
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Summary:	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.
Bibliography:	KISTI1.1003/JNL.JAKO201717234702995
ISSN:	0304-9914