调和拟共形映射的 Hölder 连续性
复变函数
2011-05-30 v4
摘要
我们证明了对于调和拟共形映射，边界上的 -Hölder 连续性蕴含映射本身的 -Hölder 连续性。我们的结果对一致完全有界域类成立，事实上我们允许边界的一部分在容量意义下是薄的。一般有界域的问题仍然悬而未决。
关键词
引用
@article{arxiv.1012.3145,
title = {H\"older Continuity of Harmonic Quasiconformal Mappings},
author = {Miloš Arsenović and Vesna Manojlović and Matti Vuorinen},
journal= {arXiv preprint arXiv:1012.3145},
year = {2011}
}
备注
This is an updated version of the same paper - added two references and a sentence explaining relevance of these two papers. The last version: corrected typos, restricted to dimension at least 3