Weighted reproducing kernels and the Bergman space

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:399

Article

Carswell, Brent J.¹  Weir, Rachel J.¹ 

[1] Allegheny Coll, Dept Math, Meadville, PA 16335 USA

关键词: Bergman space;    Invariant subspace;    Wandering property;    Reproducing kernel;    Blaschke product;   

DOI  :  10.1016/j.jmaa.2012.10.029

来源: Elsevier

【 摘 要 】

Using weighted reproducing kernels, we give a description of the orthocomplement of BM in M when M is a singly generated shift invariant subspace of the Bergman space and B is a Blaschke product vanishing at the origin. We also obtain an approximation result for weighted kernels corresponding to Blaschke products. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free