Bi-Holder Extensions of Quasi-isometries on Complex Domains

doi:10.1007/s12220-021-00824-9

	Bi-Holder Extensions of Quasi-isometries on Complex Domains
	Liu, Jinsong 1,4; Wang, Hongyu 3,4; Zhou, Qingshan 2
刊名	JOURNAL OF GEOMETRIC ANALYSIS
	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
DOI	10.1007/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
出版者	SPRINGER
WOS记录号	WOS:000739924600004
内容类型	期刊论文
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.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Foshan Univ, Sch Math & Big Data, Foshan 528000, Guangdong, Peoples R China 3.Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, HLM, Beijing 100190, 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.