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Bi-Holder Extensions of Quasi-isometries on Complex Domains

文献类型：期刊论文

作者Liu, Jinsong1,2; Wang, Hongyu1,3; Zhou, Qingshan4
刊名JOURNAL OF GEOMETRIC ANALYSIS
出版日期2022-02-01
卷号32期号:2页码:29
关键词Quasi-isometries Convex domains Kobayashi metric Gromov hyperbolicity
ISSN号1050-6926
DOI10.1007/s12220-021-00824-9
英文摘要In this paper, we prove some results on bi-Holder extensions not only for biholomorphisms but also for more general Kobayashi metric quasi-isometries between the domains. Furthermore, we establish the Gehring-Hayman type theorems on certain complex domains which play an important role through the paper. Then by applying the above results, we show the bi-Holder equivalence between the Euclidean boundary and the Gromov boundary of bounded convex domains which are Gromov hyperbolic with respect to their Kobayashi metrics.
资助项目NSF of China[11925107] ; NSF of China[11688101] ; NSF of China[11901090]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000739924600004
出版者SPRINGER
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/59829]  
专题中国科学院数学与系统科学研究院
通讯作者Wang, Hongyu
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, HLM, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
3.Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China
4.Foshan Univ, Sch Math & Big Data, Foshan 528000, Guangdong, Peoples R China
推荐引用方式
GB/T 7714		 Liu, Jinsong,Wang, Hongyu,Zhou, Qingshan. Bi-Holder Extensions of Quasi-isometries on Complex Domains[J]. JOURNAL OF GEOMETRIC ANALYSIS,2022,32(2):29.
APA Liu, Jinsong,Wang, Hongyu,&Zhou, Qingshan.(2022).Bi-Holder Extensions of Quasi-isometries on Complex Domains.JOURNAL OF GEOMETRIC ANALYSIS,32(2),29.
MLA Liu, Jinsong,et al."Bi-Holder Extensions of Quasi-isometries on Complex Domains".JOURNAL OF GEOMETRIC ANALYSIS 32.2(2022):29.

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来源：数学与系统科学研究院

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