On the power growth order of homeomorphisms of certain classes

Read full text
Authors: Mariia Volodymyrivna Stefanchuk
Cited by: 0

Abstract

Abstract In this article, certain classes of homeomorphisms on the complex plane have been considered. Specifically, we investigate ring and lower Q -homeomorphisms with respect to the p -module, as well as homeomorphisms of finite distortion. The behavior at infinity of these mappings is investigated, and sharp estimates for their lower power α $\alpha $ alpha -order are obtained.

Fields of Study & Subjects

Analytic and geometric function theory Rings Modules and Algebras Holomorphic and Operator Theory

Publication details

Journal / source
Canadian Mathematical Bulletin
Volume
69
Issue
3
Pages
944–965
Publication date
5 January 2026
Language
EN