A1 Refereed original research article in a scientific journal
Modulus estimates of semirings with applications to boundary extension problems
Authors: Golberg, Anatoly; Sugawa, Toshiyuki; Vuorinen, Matti
Publisher: SPRINGER BASEL AG
Publishing place: BASEL
Publication year: 2025
Journal: Analysis and Mathematical Physics
Journal name in source: ANALYSIS AND MATHEMATICAL PHYSICS
Journal acronym: ANAL MATH PHYS
Article number: 22
Volume: 15
Issue: 1
Number of pages: 27
ISSN: 1664-2368
eISSN: 1664-235X
DOI: https://doi.org/10.1007/s13324-025-01019-z
Web address : https://doi.org/10.1007/s13324-025-01019-z
Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/485070187
In our previous paper (Golberg et al. in Comput Methods Funct Theory 20(3-4):539-558, 2020), we proved that the complementary components of a ring domain in Rn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {R}<^>n$$\end{document} with large enough modulus may be separated by an annular ring domain and applied this result to boundary correspondence problems under quasiconformal mappings. In the present paper, we continue this work and investigate boundary extension problems for a larger class of mappings.
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