调和映射关于伪双曲度量的 Lipschitz 性质
复变函数
2021-04-14 v1
摘要
本文证明了调和 Bloch 映射关于伪双曲度量是 Lipschitz 连续的。该结果改进了 [P. Ghatage, J. Yan, and D. Zheng, Composition operators with closed range on the Bloch space, Proc. Amer. Math. Soc. 129 (2000), 2039-2044] 中定理 1 的相应结果。此外,我们证明了调和拟正则 Bloch 型映射的类似性质。
引用
@article{arxiv.2104.05976,
title = {Lipschitz property of harmonic mappings with respect to the pseudo-hyperbolic metric},
author = {Jie Huang and Antti Rasila and Jian-Feng Zhu},
journal= {arXiv preprint arXiv:2104.05976},
year = {2021}
}
备注
11 pages