On Blaschke products with derivatives in Bergman spaces with normal weights

被引：13

作者：

Aleman, Alexandru ^{[3
]}

Vukotic, Dragan ^{[1
,2
]}

机构：

[1] Univ Autonoma Madrid, Dept Matemat, E-28049 Madrid, Spain

[2] Univ Autonoma Madrid, ICMAT, CSIC, UCM,Modulo C XV,UC3M, E-28049 Madrid, Spain

[3] Lund Univ, Dept Math, Lund, Sweden

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 361卷 / 02期

关键词：

Blaschke products; Weighted Bergman spaces; Normal weights; Interpolating sequences; INNER FUNCTIONS; INTEGRABILITY; OPERATORS; DUALITY; STOLZ;

D O I：

10.1016/j.jmaa.2009.07.030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We generalize a well-known sufficient condition for interpolating sequences for the Hilbert Bergman spaces to other Bergman spaces with normal weights (as defined by Shields and Williams) and obtain new results regarding the membership of the derivative of a Blaschke product or a general inner function in such spaces. We also apply duality techniques to obtain further results of this type and obtain new results about interpolating Blaschke products. (c) 2009 Elsevier Inc. All rights reserved.

引用

页码：492 / 505

页数：14

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