COMPOSITION OPERATORS ON THE LITTLE BLOCH SPACE IN POLYDISCS
Let Un be the unit polydisc of Cn and φ = (φ1,…,φn) a holomorphic self map of Un. This paper shows that the composition operator Cφ induced by φ is bounded on the little Bloch space β0*(Un) if and only if φ∈β0*(Un) for every l=1,2,…,n, and also gives a sufficient and necessary condition for the composition operator Cφ to be compact on the little Bloch spaceβ0* (Un).
作 者： Zhou Zehua Zhu Min Shi Jihuai 作者单位： Zhou Zehua,Zhu Min(Department of Mathematics, Tianjin University, Tianjin 300072, China)Shi Jihuai(Department of Mathematics, University of Science and Technology of China, Hefei 230026, China)
刊 名： 数学物理学报（英文版） ISTIC SCI 英文刊名： ACTA MATHEMATICA SCIENTIA 年，卷(期)： 2005 25(4) 分类号： O4 关键词： Little Bloch space distinguished boundary composition operator Bergmanmetric