全纯函数半群下的拟测地线和后向轨道

IF 0.6 Q3 MATHEMATICS

Illinois Journal of Mathematics Pub Date : 2022-01-01 DOI:10.1215/00192082-10346693

Konstantinos Zarvalis

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引用次数: 1

摘要

我们研究了单位圆盘上全纯自映射半群下后向轨道的两个性质。首先，我们证明了正则后向轨道是单位圆盘双曲距离的拟测地线。然后，我们证明了后向轨道满足一个有用的性质，这次是欧几里得项。

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Quasi-geodesics and backward orbits under semigroups of holomorphic functions

We explore two properties of backward orbits under semigroups of holomorphic self-maps in the unit disk. First, we prove that regular backward orbits are quasi-geodesics for the hyperbolic distance of the unit disk. Then, we show that backward orbits satisfy a useful property, this time in Euclidean terms.

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来源期刊

Illinois Journal of Mathematics 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

期刊介绍： IJM strives to publish high quality research papers in all areas of mainstream mathematics that are of interest to a substantial number of its readers. IJM is published by Duke University Press on behalf of the Department of Mathematics at the University of Illinois at Urbana-Champaign.