Boundedness for the Singular Integral with Variable Kernel and Fractional Differentiation on Weighted Morrey Spaces  

作　　者：Chao Xue Kai Zhu Yanping Chen 

机构地区：[1]Department of Applied Mathematics, University of Science and Technology Beijing [2]School of Mathematical Sciences, Beijing Normal University

出　　处：《Analysis in Theory and Applications》2016年第3期205-214,共10页分析理论与应用（英文刊）

基　　金：supported by NSF of China (Grant No. 11471033);NCET of China (Grant No. NCET-11-0574);the Fundamental Research Funds for the Central Universities (FRF-TP-12-006B)

摘　　要：Let T be the singular integral operator with variable kernel, T＊ be the adjoint of T and T# be the pseudo-adjoint of T. Let TIT2 be the product of T1 and T2, T1 o T2 be the pseudo product of T1 and T2. In this paper, we establish the boundedness for commutators of these operators and the fractional differentiation operator D^γ on the weighted Morrey spaces.Let T be the singular integral operator with variable kernel, T＊ be the adjoint of T and T# be the pseudo-adjoint of T. Let TIT2 be the product of T1 and T2, T1 o T2 be the pseudo product of T1 and T2. In this paper, we establish the boundedness for commutators of these operators and the fractional differentiation operator D^γ on the weighted Morrey spaces.

关 键 词：Singular integral variable kernel fractional differentiation BMO Sobolev space weighted Morrey spaces 

分 类 号：O177[理学—数学] O177.6[理学—基础数学]