Weighted Composition Operators From into the Zygmund Spaces

被引：0

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：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2013年 / 7卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Weighted composition operator; Hardy space; Zygmund space; Bloch space; H-INFINITY; BLOCH-SPACES; DIFFERENTIATION; INTERPOLATION; PRODUCTS;

D O I：

10.1007/s11785-012-0260-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we characterize the bounded and the compact weighted composition operators from the space of bounded analytic functions on the open unit disk into the Zygmund space and the little Zygmund space. We also provide boundedness and compactness criteria of the weighted composition operators from the Bloch space into the little Zygmund space. In particular, we show that the bounded operators between these spaces are necessarily compact.

引用

页码：1495 / 1512

页数：18

共 29 条

[1]

[Anonymous], 1989, Rend. Circ. Mat. Palermo

[2]

[Anonymous], 2009, ARS COMBINATORIA

[3] Interpolation by functions in the Bloch space [J].