An Upper Bound of Essential Norm of Composition Operator on H^2(B_n)  

作　　者：Zhihua CHEN Liangying JIANG Qiming YAN 

机构地区：[1]Department of Mathematics,Tongji University [2]Department of Applied Mathematics,Shanghai Finance University [3]Department of Mathematics,Tongji University

出　　处：《Chinese Annals of Mathematics,Series B》2012年第6期841-856,共16页数学年刊（B辑英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Nos.11171255,11101279,10901120)

摘　　要：The authors give an upper bound of the essential norm of a composition operator on H2(Bn),which involves the counting function in the higher dimensional value distribution theory defined by S.S.Chern.A criterion is also given to assure that the composition operator on H2(Bn) is bounded or compact.

关 键 词：Essential norm Composition operator Hardy space 

分 类 号：O177[理学—数学]