摘要
In this paper,we study composition operators on a Banach space of analytic functions, denoted by X,which includes the Bloch space.This space arises naturally as the dual space of analytic functions in the Bergman space L_a^1(D)which admit an atomic decomposition.We charac- terize the functions which induce compact composition operators and those which induce Fredholm operatorson this space.We also investigate when a composition operator has a closed range.
In this paper,we study composition operators on a Banach space of analytic functions, denoted by X,which includes the Bloch space.This space arises naturally as the dual space of analytic functions in the Bergman space L_a^1(D)which admit an atomic decomposition.We charac- terize the functions which induce compact composition operators and those which induce Fredholm operatorson this space.We also investigate when a composition operator has a closed range.
作者
Cao Guangfu (Department of Mathematics,Sichuan University,Chengdu 610064,China)N.Elias (6611 Tauglewood Court 3B,Hammond,IN46323)P.Ghatage (Department of Mathematics,Cleveland State University,Cleveland,OH44115)Yu Dahai (Department of Mathematics,Sichuan University,Chengdu 610064,China)
基金
Supported by NNSFC No.19671036
