The essential norm of a composition operator on a planar domain

被引:5
|
作者
Fisher, SD [1 ]
Shapiro, JE [1 ]
机构
[1] Northwestern Univ, Dept Math, Evanston, IL 60208 USA
关键词
D O I
10.1215/ijm/1255985340
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We generalize to finitely connected planar domains the result of Joel Shapiro which gives a formula for the essential norm of a composition operator. In the process, we define and give some properties of a generalization of the Nevanlinna counting function and prove generalizations of the Littlewood inequality, the Littlewood-Paley identity, and change of variable formulas, as well.
引用
收藏
页码:113 / 130
页数:18
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