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Studia Mathematica
Article . 2023 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.48550/ar...
Article . 2022
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
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Gromov hyperbolicity in the free quasiworld. I

Authors: Zhou, Qingshan; Ponnusamy, Saminathan;

Gromov hyperbolicity in the free quasiworld. I

Abstract

With the aid of a Gromov hyperbolic characterization of uniform domains, we first give an affirmative answer to an open question arisen by V��is��l�� under weaker assumption. Next, we show that the three-point condition introduced by V��is��l�� is necessary to obtain quasisymmetry for quasim��bius maps between bounded connected spaces in a quantitative way. Based on these two results, we investigate the boundary behavior of freely quasiconformal and quasihyperbolic mappings on uniform domains of Banach spaces and partially answer another question raised by V��is��l�� in different ways.

31 pages; To appear in Studia Mathematica

Related Organizations
Keywords

Mathematics - Complex Variables, FOS: Mathematics, Complex Variables (math.CV), Primary 30C65, 30F45, 30L10, Secondary 30C20

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
9
Top 10%
Average
Top 10%
Green