• A submultiplicative property of the Carathéodory metric on planar domains

• # Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/130/0035

• # Keywords

Carathéodory metric; curvature; Ahlfors map and localization

• # Abstract

Given a pair of smoothly bounded domains $D_{1}$, $D_{2} \subset \mathbb{C}$, the purpose of this paper is to obtain an inequality that relates the Carathéodory metrics on $D_{1}$, $D_{2}$, $D_{1}\cap D_{2}$ and $D_{1} \cup D_{2}$.

• # Author Affiliations

1. Department of Mathematics, Indian Institute of Science, Bangalore 560 012, India

• # Proceedings – Mathematical Sciences

Volume 130, 2020
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019