The Role of BMOA in the Boundedness of Weighted Composition Operators on the Unit Ball

被引：0

作者：

Chao ZHANG

Guang Fu CAO

机构：

[1] CollegeofMathematicsandInformationSciences,GuangzhouUniversity

来源：

ActaMathematicaSinica(EnglishSeries) | 2014年 / 30卷 / 02期

关键词：

Weighted composition operator; boundedness; compactness; BMOA; VMOA;

D O I：

暂无

中图分类号：

O177 [泛函分析];

学科分类号：

070104 ;

摘要：

We study the weighted composition operators Wh,on Hardy space H2(B) whenever h ∈ BMOA(resp.h ∈ VMOA).Analogous results are given for Hp(B) spaces and the scale of weighted Bergman spaces.In the latter case,BMOA is replaced by the Bloch space(resp.VMOA by the little Bloch space).

引用

页码：323 / 330

页数：8

共 6 条

[1]

Boundedness, Compactness and Schatten-class Membership of Weighted Composition Operators[J] . E. A. Gallardo-Gutiérrez,R. Kumar,J. R. Partington.Integral Equations and Operator Theory . 2010 (4)

[2]

Corrigendum to “The role of BMOA in the boundedness of weighted composition operators”[J. Funct. Anal. 258 (11) (2010) 3593–3603][J] . Eva A. Gallardo-Gutiérrez,Jonathan R. Partington.Journal of Functional Analysis . 2010 (10)

[3]

Weighted Composition Operators from F ( p , q , s ) Spaces to H μ ∞ Spaces[J] . Xiangling Zhu,Stevo Stevic.Abstract and Applied Analysis . 2009

[4]

Compact Weighted Composition Operators and Multiplication Operators between Hardy Spaces[J] . Sei-Ichiro Ueki,Luo Luo,Stephen Clark.Abstract and Applied Analysis . 2008

[5] Applications of the discrete Weiss Conjecture in operator theory [J].

Harper, Z .

INTEGRAL EQUATIONS AND OPERATOR THEORY, 2006, 54 (01) :69-88

[6] Weighted composition operators on Hardy spaces [J].

Contreras, MD ;

Hernández-Díaz, AG .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 263 (01) :224-233

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