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

作     者：Xiao YU Xiang Xing TAO 

作者机构：Department of MathematicsZhejiang University Department of MathematicsShangrao Normal University Department of MathematicsZhejiang University of Science and Technology 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2013年第29卷第10期

页      面：1917-1926页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

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) 

主　　题：Generalized commutator central Morrey 'space central-BMO space 

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.