Boundedness for a Class of Generalized Commutators on λ-Central Morrey Space  

作　　者：Xiao YU Xiang Xing TAO 

机构地区：[1]Department of Mathematics,Zhejiang University [2]Department of Mathematics,Shangrao Normal University [3]Department of Mathematics,Zhejiang University of Science and Technology

出　　处：《Acta Mathematica Sinica,English Series》2013年第10期1917-1926,共10页数学学报（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant Nos.11226104 and 11226109);supported by National Natural Science Foundation of China(Grant Nos.11171306 and 11071065);Natural Science Foundation of Jiangxi Province(Grant No.20114BAB211007)

摘　　要：Let 0 〈 a 〈 n, Ω be a rough kernel, and let A have derivatives of order m- 1 in CI3MOTM with m ≥ 2. We consider a class of generalized commutators TΩA,α of Cohen-Gosselin type, and obtain the boundedness of TΩA,α from the central Morrey spaces E^p,μ1 to E^r,λ for λ = μ1 ＋ μ2 ＋ α/n and 1/r = 1/p ＋ 1/q - α/n.Let 0 〈 a 〈 n, Ω be a rough kernel, and let A have derivatives of order m- 1 in CI3MOTM with m ≥ 2. We consider a class of generalized commutators TΩA,α of Cohen-Gosselin type, and obtain the boundedness of TΩA,α from the central Morrey spaces E^p,μ1 to E^r,λ for λ = μ1 ＋ μ2 ＋ α/n and 1/r = 1/p ＋ 1/q - α/n.

关 键 词：Generalized commutator central Morrey ＇space central-BMO space 

分 类 号：O177[理学—数学]