$\mathscr{C}^1$光滑Jordan域间的调和拟共形映射
复变函数
2023-11-21 v2
摘要
我们证明如下结果。若是具有边界的两个Jordan域与之间的调和拟共形映射，则该函数对每个全局Hölder连续，但一般而言不是Lipschitz的。这扩展并改进了S. Warschawski关于共形映射的经典定理。
引用
@article{arxiv.2003.03665,
title = {Harmonic quasiconformal mappings between $\mathscr{C}^1$ smooth Jordan domains},
author = {David Kalaj},
journal= {arXiv preprint arXiv:2003.03665},
year = {2023}
}
备注
17 pages, this version contains the corrected paper as it was described in the erratum: Rev. Mat. Iberoam. 38, No. 1, 353-354 (2022)