Quasihyperbolic mappings in length metric spaces

Qingshan Zhou; Yaxiang Li; Yuehui He

doi:10.5802/crmath.154

Geometry

Quasihyperbolic mappings in length metric spaces

Qingshan Zhou ¹; Yaxiang Li ²; Yuehui He ³

¹ School of Mathematics and Big Data, Foshan university, Foshan, Guangdong 528000, People’s Republic of China
² Department of Mathematics, Hunan First Normal University, Changsha, Hunan 410205, People’s Republic of China
³ Department of Mathematics, Shantou University, Shantou, Guangdong 515063, People’s Republic of China

Comptes Rendus. Mathématique, Volume 359 (2021) no. 3, pp. 237-247.

Abstract

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.

Received: 2020-06-09
Revised: 2020-10-04
Accepted: 2020-11-22
Published online: 2021-04-20

DOI: 10.5802/crmath.154

Classification: 30L10, 53C23, 30L99, 30F10

Author's affiliations:

Qingshan Zhou ¹; Yaxiang Li ²; Yuehui He ³

¹ School of Mathematics and Big Data, Foshan university, Foshan, Guangdong 528000, People’s Republic of China
² Department of Mathematics, Hunan First Normal University, Changsha, Hunan 410205, People’s Republic of China
³ Department of Mathematics, Shantou University, Shantou, Guangdong 515063, People’s Republic of China

License:

CC-BY 4.0

Copyrights: The authors retain unrestricted copyrights and publishing rights

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     author = {Qingshan Zhou and Yaxiang Li and Yuehui He},
     title = {Quasihyperbolic mappings in length metric spaces},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {237--247},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {359},
     number = {3},
     year = {2021},
     doi = {10.5802/crmath.154},
     language = {en},
}

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Qingshan Zhou; Yaxiang Li; Yuehui He. Quasihyperbolic mappings in length metric spaces. Comptes Rendus. Mathématique, Volume 359 (2021) no. 3, pp. 237-247. doi : 10.5802/crmath.154. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.154/

References
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