Products of Extended Ceshro Operator and Composition Operator from Generalized Besov Spaces to Zygmund Spaces  

Products of Extended Cesàro Operator and Composition Operator from Generalized Besov Spaces to Zygmund Spaces

作　　者：OUYANG Xiao-rong 

机构地区：[1]Jinxiu Middle School, Hangzhou 310011, China

出　　处：《Chinese Quarterly Journal of Mathematics》2012年第2期204-212,共9页数学季刊（英文版）

基　　金：Foundation item： Supported by the National Natural Science Foundation of China（10771064）; Supported by the Natural Science Foundation of Zhejiang Province（YT080197, Y6090036, Y6100219）; Supported by the Foundation of Creative Group in Colleges and Universities of Zhejiang Province（T200924） Acknowledgement The author would like to express his thanks to his supervisor, Prof HU Zhang-jian, for his guidence.

摘　　要：We characterize the boundedness and compactness of the product of extended Cesaro operator and composition operator TgCφ from generalized Besov spaces to Zygmund spaces, where g is a given holomorphic function in the unit disk D, φ is an analytic self-map of Ii） and TgC~ is defined byTgCφf（z）=∫z 0 f（φ（t））g′（t）dt.

关 键 词：extended Cearo operator composition operator generalized Besov space Zygmund space 

分 类 号：O174.56[理学—数学]