多圆柱上Bloch空间及其函数模的上界估计新证  

The Bloch Space of Polydisk and New Proof for the Upper Bound Estimate of Bloch Function Modulus

作　　者：胡蓉[1] 

机构地区：[1]四川文理学院数学与财经系,四川达州635000

出　　处：《内江师范学院学报》2011年第4期18-19,29,共3页Journal of Neijiang Normal University

基　　金：四川文理学院2010年院级科研项目(2010B02Z)

摘　　要：重新定义了多圆柱上的Bloch空间,给出多圆柱上任意两点间的Bergman距离与其对应的Bloch函数值的欧氏距离之间的关系,并依此得到Bloch函数模上界估计的一种新的证明方法.The Bloch space of polydisk was redefined.Further given in the article was the relation between the bergman distance of any two points on a polydisk and the Euclidean distance of their corresponding bloch funtion values,based on which a new method for proving the upper bound estimate of the Bloch functions was obtained.

关 键 词：单位多圆柱 BLOCH空间 Bloch函数模 

分 类 号：O174.56[理学—数学]