BOUNDEDNESS OF HIGHER ORDER COMMUTATORS OF GENERALIZED FRACTIONAL INTEGRAL OPERATORS ON HARDY SPACES
BOUNDEDNESS OF HIGHER ORDER COMMUTATORS OF GENERALIZED FRACTIONAL INTEGRAL OPERATORS ON HARDY SPACES作者机构:Dept. of Math. Anhui Normal University Wuhu 241000 P. R. China
出 版 物:《Analysis in Theory and Applications》 (分析理论与应用(英文刊))
年 卷 期:2005年第21卷第3期
页 面:249-257页
学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学]
基 金:Supported Partially by NSF of China (10371087) Education Committee of Anhui Province (2003kj034zd)
主 题:(θ - N)-type fractional integral operator commutator BMO space Hardy space,Herz-type Hardy space atom
摘 要:Let Tμ,b,m be the higher order commutator generated by a generalized fractional integral operator Tμ and a BMO function b. In this paper, we will study the boundedness of Tμ,b,m on classical Hardy spaces and Herz-type Hardy spaces.