Weighted Composition Operators from the Minimal Mobius Invariant Space into the Bloch Space

被引：33

作者：

Colonna, Flavia ^{[1
]}

Li, Songxiao ^{[2
]}

机构：

[1] George Mason Univ, Dept Math Sci, Fairfax, VA 22030 USA

[2] JiaYing Univ, Dept Math, Meizhou 514015, Guangdong, Peoples R China

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2013年 / 10卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Weighted composition operator; minimal mobius invariant space; Bloch space; COMPACT COMPOSITION OPERATORS; H-INFINITY; ESSENTIAL NORMS;

D O I：

10.1007/s00009-012-0182-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let be an analytic self-map of the open unit disk in the complex plane the space of complex-valued analytic functions on , and let u be a fixed function in . The weighted composition operator is defined by (uC(phi)f)(z) = u(z)f(phi(z)), z is an element of D, f is an element of H(D). In this paper, we study the boundedness and the compactness of the weighted composition operators from the minimal Mobius invariant space into the Bloch space and the little Bloch space.

引用

页码：395 / 409

页数：15

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