Estimates of invariant distances on "convex" domains

TL;DR

This paper provides estimates for invariant distances within convex, convexifiable, and planar domains, enhancing understanding of geometric properties relevant to complex analysis.

Contribution

It introduces new estimates for invariant distances on convex and convexifiable domains, expanding previous theoretical frameworks.

Findings

Derived bounds for invariant distances in convex domains

Extended estimates to convexifiable and planar domains

Improved understanding of geometric invariants in complex analysis

Abstract

Estimates for invariant distances of convexifiable, $\C$-convexifiable and planar domains are given.