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