Essential Norm of Extended Ceshro Operators between Bloch-type Spaces  

Essential Norm of Extended Cesàro Operators between Bloch-type Spaces

作　　者：ZHAO Di 

机构地区：[1]College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua321004, China

出　　处：《Chinese Quarterly Journal of Mathematics》2013年第1期105-110,共6页数学季刊（英文版）

基　　金：Supported by the NNSF 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 her thanks to her supervisor, Prof HU Zhang-jian, for his guidance.

摘　　要：The Bloch-type space Bω consists of all functions f ∈ H（B） for which｜｜f｜｜Bω =sup z∈Bω（z）｜△f（z）｜〈∞Let Tφ be the extended Cesaro operator with holomorphic symbol φ. The essential norm of Tφ as an operator from Bω to Bμ is denoted by ｜｜Tφ｜｜e,Bω→Bμ. The purpose of this paper is to prove that, for w, ω normal and φ ∈ H（B）｜｜Tφ｜｜e,Bω→Bμ≈lim sup｜z｜→1μ（z）｜Rφ（z）｜∫0^｜z｜dt/ω（t）.

关 键 词：extended Cesaro operator Bloch-type space essential norm 

分 类 号：O174.56[理学—数学]