A Class of Functions Holomorphic in the Disk

被引：0

作者：

F. A. Shamoyan

E. N. Shubabko

机构：

[1] Bryansk State University,

来源：

Journal of Mathematical Sciences | 2004年 / 120卷 / 5期

关键词：

Holomorphic Function; Unit Disk; Parametric Representation; Power Growth; Disk Algebra;

D O I：

10.1023/B:JOTH.0000018875.84513.27

中图分类号：

学科分类号：

摘要：

We introduce a new parametric representation of the class of holomorphic functions in the unit disk such that their Nevanlinna characteristic has a power growth near the boundary of the disk. The parameters of the obtained representation are determined explicitly by values of the function. In addition, the set of multipliers from the considered class to the Hardy and Bergman classes and the disk algebra is described completely. Bibliography: 10 titles.

引用

页码：1784 / 1790

页数：6

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