Quasiconformal variants of the Wong--Rosay theorem

TL;DR

This paper investigates extensions of the Wong--Rosay theorem to quasiconformal mappings, broadening the understanding of domain characterizations in complex analysis beyond holomorphic automorphisms.

Contribution

It introduces quasiconformal variants of the Wong--Rosay theorem, expanding the theorem's applicability to a wider class of mappings and domains.

Findings

Established quasiconformal analogues of the Wong--Rosay theorem

Characterized domains using quasiconformal automorphism groups

Extended classical results to a more general setting

Abstract

The Wong--Rosay theorem provides a characterization of the unit ball among all strongly pseudoconvex domains in terms of holomorphic automorphism group actions. We explore variants of this theorem in the quasiconformal setting.