长度度量空间中的拟双曲映射

IF 0.8 4区数学 Q2 MATHEMATICS

Comptes Rendus Mathematique Pub Date : 2021-04-20 DOI:10.5802/CRMATH.154

Qingshan Zhou, Yaxiang Li, Yuehui He

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引用次数: 3

摘要

本文讨论了度量空间中拟双曲映射的局部性质，这与Huang等人在2016年提出的一个开放问题有关。我们的结果是对这个问题的部分解决，也是对Huang等人2016年相应结果的推广。2020数学学科分类。30L10, 53C23, 30L99, 30F10。资金。第一作者是中国国家自然科学基金(No. 11901090)和广东省教育厅(No. 2018KQNCX285)资助项目。第二作者获得国家自然科学基金(No. 11601529,11971124)和湖南省教育厅科研基金(No. 20B118)的部分资助。收稿2020年6月9日，改稿2020年10月4日，收稿2020年11月22日。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Quasihyperbolic mappings in length metric spaces

In this paper, we discuss the local properties of quasihyperbolic mappings in metric spaces, which are related to an open problem raised by Huang et al in 2016. Our result is a partial solution to this problem, which is also a generalization of the corresponding result obtained by Huang et al in 2016. 2020 Mathematics Subject Classification. 30L10, 53C23, 30L99, 30F10. Funding. The first author was supported by NNSF of China (No. 11901090), and by Department of Education of Guangdong Province, China (No. 2018KQNCX285). The second author was partly supported by NNSF of China (No. 11601529,11971124), and by Scientifific Research Fund of Hunan Provincial Education Department (No. 20B118). Manuscript received 9th June 2020, revised 4th October 2020, accepted 22nd November 2020.

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来源期刊

Comptes Rendus Mathematique 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

115

审稿时长

16.6 weeks

期刊介绍： The Comptes Rendus - Mathématique cover all fields of the discipline: Logic, Combinatorics, Number Theory, Group Theory, Mathematical Analysis, (Partial) Differential Equations, Geometry, Topology, Dynamical systems, Mathematical Physics, Mathematical Problems in Mechanics, Signal Theory, Mathematical Economics, … Articles are original notes that briefly describe an important discovery or result. The articles are written in French or English. The journal also publishes review papers, thematic issues and texts reflecting the activity of Académie des sciences in the field of Mathematics.