One-component inner functions

被引：0

作者：

Cima J. ^{[1
]}

Mortini R. ^{[2
]}

机构：

[1] Department of Mathematics, UNC, Chapel Hill, NC

[2] Département de Mathématiques et Institut Élie Cartan de Lorraine, Université de Lorraine, UMR 7502, Ile du Saulcy, Metz

来源：

Complex Analysis and its Synergies | / 3卷 / 1期

关键词：

Connected components; Inner functions; Interpolating Blaschke products; Level sets;

D O I：

10.1186/s40627-016-0008-8

中图分类号：

学科分类号：

摘要：

We explicitly unveil several classes of inner functions u in H∞ with the property that there is η∈] 0 , 1 [such that the level set Ω u(η) : = { z∈ D: | u(z) | < η} is connected. These so-called one-component inner functions play an important role in operator theory. © 2017, The Author(s).

引用

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