Commutator of Hypersingular Integral with Rough Kernels on Sobolev Spaces  

作　　者：Yan Ping CHEN Yong DING Xin Xia WANG 

机构地区：[1]Department of Applied Mathematics, Mathematical and Physical School, University of Science and Technology Beijing [2]School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems (BNU),Ministry of Education [3]The College of Mathematics and System Science, Xinjiang University

出　　处：《Acta Mathematica Sinica,English Series》2013年第6期1043-1054,共12页数学学报（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant No. 10901017);Program for New Century Excellent Talents in University of China (Grant No. NCET-11-0574) ;the Fundamental Research Funds for the Central Universities;supported by National Natural Science Foundation of China (Grant No. 10931001);the Research Fund for the Dectoral Program of Higher Education of China (Grant No. 20090003110018);Program for Changjiang Scholars and Innovative Research Team in University of China

摘　　要：In this paper, the authors give the boundedness of the commutator of hypersingular integral T γ from the homogeneous Sobolev space Lpγ （Rn） to the Lebesgue space Lp（Rn） for 1In this paper, the authors give the boundedness of the commutator of hypersingular integral T γ from the homogeneous Sobolev space Lpγ （Rn） to the Lebesgue space Lp（Rn） for 1

关 键 词：Hypersingular integral paraproduct COMMUTATOR Sobolev space 

分 类 号：O172.2[理学—数学]