c^n中有界强拟凸域上Bergman空间的复合算子  

COMPOSITION OPERATORS BETWEEN THE BERGMAN SPACES ON THE BOUNDED STRONGLY PSEUDOCONVEX DOMAINS OF Cn

作　　者：罗罗[1] 史济怀[1] 

机构地区：[1]中国科技大学数学系,合肥230026

出　　处：《数学年刊（A辑）》2003年第6期721-728,共8页Chinese Annals of Mathematics

基　　金：国家自然科学基金(No.19871081);中国科学院特支费资助的项目

摘　　要：设D是Cn中具有光滑边界的有界强拟凸域,φ:D-D是D的全纯自映射.本文研究D上Bergman空间的复合算子Cφ,通过η-Carleson测度给出Cφ:LηPa(D)-Lηpa(D)(0<p<∞1≤η<∞)Let D be a bounded strongly pseudoconvex domain with smooth boundary in Cn and φ : D - D be a holomorphic self-map of D, the authors study the composition operators Cφ between Bergman spaces on a bounded strongly pseudoconvex domain D in Cn, and introduce the η-Carleson measure and use it to give the characterization of the bounded or compact composition operator C

关 键 词：复合算子 CARLESON测度 加权BERGMAN空间 

分 类 号：O174.14[理学—数学]