Mappings of finite distortion: boundary extensions in uniform domains
Complex Variables
2024-10-15 v2
Abstract
In this paper, we consider mappings on uniform domains with exponentially integrable distortion whose Jacobian determinants are integrable. We show that such mappings can be extended to the boundary and moreover these extensions are exponentially integrable with quantitative bounds. This extends previous results of Chang and Marshall on analytic functions, Poggi-Corradini and Rajala and Akkinen and Rajala on mappings of bounded and finite distortion.
Keywords
Cite
@article{arxiv.1510.05372,
title = {Mappings of finite distortion: boundary extensions in uniform domains},
author = {Tuomo Akkinen and Chang-Yu Guo},
journal= {arXiv preprint arXiv:1510.05372},
year = {2024}
}
Comments
21 pages, 2 figures