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).
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