Compactness of the commutators of parabolic singular integrals  

作　　者：CHEN YanPing1 & DING Yong2,3 1Department of Mathematics and Mechanics,University of Science and Technology Beijing,Beijing 100083,China 2School of Mathematical Science,Beijing Normal University,Beijing 100875,China 3Laboratory of Mathematics and Complex Systems (BNU),Ministry of Education of China,Beijing 100875,China 

出　　处：《Science China Mathematics》2010年第10期2633-2648,共16页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant Nos.10931001,10901017);Specialized Research Fund for the Doctoral Program of Higher Education (Grant No.20090003110018);Natural Science Foundation of Zhejiang Province (Grant No.Y7080325)

摘　　要：In this paper,the authors prove that the commutator [b,T] of the parabolic singular integrals is a compact operator on Lp(Rn)(1 【 p 【 ∞) if and only if b ∈ VMO(Rn,ρ).The result is substantial improvement and extension of some known results.In this paper,the authors prove that the commutator [b,T] of the parabolic singular integrals is a compact operator on Lp(Rn)(1 < p < ∞) if and only if b ∈ VMO(Rn,ρ).The result is substantial improvement and extension of some known results.

关 键 词：PARABOLIC singular INTEGRALS COMMUTATORS COMPACTNESS BMO VMO 

分 类 号：O177[理学—数学]