Algebras generated by two bounded holomorphic functions

被引：0

作者：

Michael I. Stessin

Pascal J. Thomas

机构：

[1] University at Albany,Department of Mathematics and Statistics

[2] Laboratoire Emile Picard,undefined

[3] UMR CNRS 5580,undefined

来源：

Journal d’Analyse Mathématique | 2003年 / 90卷

关键词：

Holomorphic Function; Unit Circle; Unit Disk; Hardy Space; Blaschke Product;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study the closure in the Hardy space or the disk algebra of algebras generated by two bounded functions, one of which is a finite Blaschke product. We give necessary and sufficient conditions for density or finite codimension (of the closure) of such algebras. The conditions are expressed in terms of the inner part of a certain function which is explicitly derived from each pair of generators. Our results are based on identifyingz-invariant subspaces included in the closure of the algebra.

引用

页码：89 / 114

页数：25