SOME ENDPOINT ESTIMATES FOR COMMUTATORS OF θ-TYPE CALDERON-ZYGMUND OPERATORS Some endpoint estimates for commutators of <Emphasis Type="Italic">θ</Emphasis>-type Calderón-Zygmund operators期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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SOME ENDPOINT ESTIMATES FOR COMMUTATORS OF θ-TYPE CALDERON-ZYGMUND OPERATORS

摘要：
关键词：	d算子端点估计 Lipschitz函数注册商标换向器稀土铽
Some endpoint estimates for commutators of <Emphasis Type="Italic">θ</Emphasis>-type Calderón-Zygmund operators

Authors:	Xiaoli Chen Jie Sun Dongxiang Chen

Institution:	(1) Department of Mathematics, Jiangxi Normal University, Jiangxi, Nanchang, 330022, P. R. China;(2) School of Mathematics and Statistics, Zhejiang University of Finance and Economics, Zhejiang, Hangzhou, 310012, P. R. China

Abstract:	In this note, the authors prove that the commutator $T_{\vec b}$ generated by θ-type Calderón-Zygmund operator T and a Lipschitz function $\vec b$ is bounded from L ^p(Rⁿ) into $Lip_{(\beta - \tfrac{n} {p})}$ (R ⁿ) and also maps from $L^{\tfrac{n} {\beta }}$ (R ⁿ) into BMO (R ⁿ). Supported by NSFC(10571014), NSFC(10571156), the Doctor Foundation of Jxnu (2443), the Natural Science Foundation of Jiangxi province(2008GZS0051).

Keywords:	Calderón-Zygmund operator commutator BMO space Lipschitz function
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