Results 1 to 10 of about 61 (46)
Quasihyperbolic mappings in length metric spaces [PDF]
Comptes Rendus. Mathématique, 2021 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.
Zhou, Qingshan, Li, Yaxiang, He, Yuehui
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The Quasisymmetric Mappings under the Quasihyperbolic Metric in Real Banach Spaces
Journal of Mathematics, 2022 Suppose that E,E′ are Q-regular Banach spaces, that G⊂E and G′⊂E′ are domains, and that f:G⟶G′ is a homeomorphism. The aim of this study is to prove that the quasisymmetric mapping under the quasihyperbolic metric is equivalent to the freely ...
Caicai Hu, Liang Guo
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A decomposition for plane domains with the quasihyperbolic metric
Journal of Mathematical Analysis and Applications, 2021 It is known that complete Riemannian surfaces can be obtained by pasting three kinds of pieces. In this paper we prove an analogous result in the context of plane domains with their quasihyperbolic metrics. In order to do it, we prove several facts about quasihyperbolic closed geodesics of independent interest; for instance, we characterize the ...
Eva Touris Lojo +2 more
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Isometries of the quasihyperbolic metric [PDF]
Pacific Journal of Mathematics, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Peter Hasto, Hasto Peter
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Chordal Hausdorff Convergence and Quasihyperbolic Distance
Analysis and Geometry in Metric Spaces, 2020 We study Hausdorff convergence (and related topics) in the chordalization of a metric space to better understand pointed Gromov-Hausdorff convergence of quasihyperbolic distances (and other conformal distances).
Herron David A. +2 more
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Distortion of quasiconformal maps in terms of the quasihyperbolic metric
Journal of Mathematical Analysis and Applications, 2013 \textit{F. W. Gehring} and \textit{B. G. Osgood} [J. Anal. Math. 36, 50--74 (1979; Zbl 0449.30012)] proved that a \(K\)-quasiconformal map \(f\) between domains \(D\) and \(D'\) in \(\mathbb{R}^n\) satisfies a distortion inequality \[ \frac{d'(f(x),f(y))}{d'(f(x),\partial D')} \leq a_n \left(\frac{d(x,y)}{d(x, \partial D)}\right)^{\alpha} \] for all ...
Soultanis, Elefterios +1 more
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INNER UNIFORM DOMAINS, THE QUASIHYPERBOLIC METRIC AND WEAK BLOCH FUNCTIONS [PDF]
Bulletin of the Korean Mathematical Society, 2012 We characterize the class of inner uniform domains in terms of the quasihyperbolic metric and the quasihyperbolic geodesic. We also characterize uniform domains and inner uniform domains in terms of weak Bloch functions.
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Gromov hyperbolicity of Denjoy domains with hyperbolic and quasihyperbolic metrics
Journal of the Mathematical Society of Japan, 2012 14 pages, 1 latex file, 1 eps ...
Eva Touris Lojo +2 more
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THE QUASIHYPERBOLIC METRIC AND ANALOGUES OF THE HARDY-LITTLEWOOD PROPERTY FOR α = 0 IN UNIFORMLY JOHN DOMAINS [PDF]
Bulletin of the Korean Mathematical Society, 2006 We characterize the class of uniformly John domains in terms of the quasihyperbolic metric and from the result we get some analogues of the Hardy-Littlewood property for in uniformly John domains.
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Quasihyperbolic metric universal covers [PDF]
Revista Matemática Iberoamericana, 2020 We prove that the natural metric universal cover of a quasihyperbolic plane domain is a Hadamard metric space with injectivity radius \pi . This in turn provides sharp constants for several conjectures by Väisälä.
Herron, David A., Martin, Gaven J.
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