Compactness of the commutators of parabolic singular integrals

查看全文 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》索引2010年第53卷第10期,共16页

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. 关键词：PARABOLIC singular INTEGRALS COMMUTATORS COMPACTNESS BMO VMO

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Compactness of the commutators of parabolic singular integrals

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引证文献(9)

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