COMPOSITION OPERATORS ON THE LITTLE BLOCH SPACE IN POLYDISCS

被引：0
|
作者：
周泽华
朱敏
史济怀
机构：
[1] Department of Mathematics
[2] Tianjin University
[3] Tianjin 300072
[4] China
[5] University of Science and Technology of China
[6] Hefei 230026
来源：
Acta Mathematica Scientia | 2005年 / 04期
关键词：
Little Bloch space; distinguished boundary; composition operator; Bergmanmetric;
D O I：
暂无
中图分类号：
O177.3 [线性空间理论（向量空间）];
学科分类号：
070104 ;
摘要：
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 boundedon the little Bloch space β0?(Un) if and only if φl ∈ β0?(Un) for every l = 1, 2, · · · , n,and also gives a su?cient and necessary condition for the composition operator Cφ to becompact on the little Bloch space β0?(Un).
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页码：629 / 638
页数：10
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