%0 Journal Article
%T COMPACT COMPOSITION OPERATORS ON THE WEIGHTED BERGMAN SPACES OF THE UNIT BALL<br>单位球上的加权Bergman空间上的紧复合算子
%A YU Tao
%A ZHANG Chao
%A <br>于涛
%A 张超
%J 系统科学与数学
%D 2010
%I 
%X Under a mild condition it is shown that a composition operator $C_{\varphi}$ is compact on the weighted Bergman space $A^{p}(\phi)$ of the open unit ball in $\mathbb{C}^{n}$ if and only if $ {{1-|z|^{2}} \over {1-|\varphi(z)|^{2}}}\rightarrow 0$ as $|z|\rightarrow 1^{-}$.
%K Weighted Bergman space
%K composition operator
%K pseudo-hyperbolic metric
%K compactness<br>加权Bergman空间
%K 复合算子
%K 伪双曲度量
%K 紧性.
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=A0A53F5EA55019D0F6E7475E36F70415&yid=140ECF96957D60B2&vid=340AC2BF8E7AB4FD&iid=CA4FD0336C81A37A&sid=28F8B56DB6BEE30E&eid=58F693790F887B3B&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=13