La pseudodistance de Caratheodory sur des ouverts emboites

TL;DR

This paper compares the Caratheodory pseudodistance on nested open sets, providing insights into how the pseudodistance behaves when restricted to smaller domains.

Contribution

It introduces a comparison framework for the Caratheodory pseudodistance between nested open sets, extending understanding of its properties in complex analysis.

Findings

Establishes inequalities relating pseudodistances on U_1 and U_2

Provides conditions under which the pseudodistance is preserved or contracted

Enhances the theoretical understanding of pseudodistance behavior in open subsets

Abstract

Given two open sets U_1 contained in U_2, we compare the Caratheodory pseudodistance on U_1 and U_2.