Closed Range Composition Operators on Besov Type Spaces

被引：8

作者：

Tjani, Maria ^{[1
]}

机构：

[1] Univ Arkansas, Dept Math Sci, Fayetteville, AR 72701 USA

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2014年 / 8卷 / 01期

关键词：

Composition operators; Closed range; Dirichlet space; Besov space; Besov type space; COMPACT COMPOSITION OPERATORS; BERGMAN SPACES; INEQUALITIES;

D O I：

10.1007/s11785-013-0286-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let be a holomorphic self-map of the unit disk . Necessary and sufficient conditions for a closed range composition operator on Besov spaces and more generally on Besov type spaces are given. An important ingredient is a reverse type Carleson condition due to Luecking.

引用

页码：189 / 212

页数：24

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