Results 11 to 20 of about 450 (47)

Freely quasiconformal maps and distance ratio metric

, 2014
Suppose that $E$ and $E'$ denote real Banach spaces with dimension at least $2$ and that $D\subset E$ and $D'\subset E'$ are domains. In this paper, we establish, in terms of the $j_D$ metric, a necessary and sufficient condition for the homeomorphism $f:
Li, Y., Ponnusamy, S., Vuorinen, M.
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Metric quasiconformality and Sobolev regularity in non-Ahlfors regular spaces

Analysis and Geometry in Metric Spaces
Given a homeomorphism f:X→Yf:X\to Y between QQ-dimensional spaces X,YX,Y, we show that ff satisfying the metric definition of quasiconformality outside suitable exceptional sets implies that ff belongs to the Sobolev class Nloc1,p(X;Y){N}_{{\rm{loc}}}^{1,
Lahti Panu, Zhou Xiaodan
doaj   +1 more source

Closed BLD-elliptic manifolds have virtually Abelian fundamental groups [PDF]

, 2013
We show that a closed, connected, oriented, Riemannian $n$-manifold, admitting a branched cover of bounded length distortion from $\mathbb R^n$, has a virtually Abelian fundamental ...
Donne, Enrico Le, Pankka, Pekka
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On integral conditions for the general Beltrami equations

, 2010
Under integral restrictions on dilatations, it is proved existence theorems for the degenerate Beltrami equations with two characteristics and, in particular, to the Beltrami equations of the second type that play a great role in many problems of ...
Bojarski, B., Gutlyanskii, V., Ryazanov, V.   +2 more
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Freely quasiconformal and locally weakly quasisymmetric mappings in metric spaces

Open Mathematics
In this article, we investigate the relationship between freely quasiconformal mappings and locally weakly quasisymmetric mappings in quasiconvex and complete metric spaces.
Liu Hong-Jun, Yan Sha-Sha, Xia Ling, Yu Zhi-Fa   +3 more
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Lower $Q$-Homeomorphisms With Respect To $P$-Modulus And Orlicz-Sobolev Classes [PDF]

, 2013
We show that under a condition of the Calderon type on $\varphi$ the homeomorphisms $f$ with finite distortion in $W^{1,\varphi}_{\rm loc}$ and, in particular, $f\in W^{1,s}_{\rm loc}$ for $s>n-1$ are the so-called lower $Q$-homeomorphisms with respect ...
Salimov, R.
core  

Convexity properties of quasihyperbolic balls on Banach spaces

, 2010
We study convexity and starlikeness of quasihyperbolic and distance ratio metric balls on Banach spaces. In particular, problems related to these metrics on convex domains, and on punctured Banach spaces, are ...
Rasila, Antti, Talponen, Jarno
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A Newman property for BLD-mappings

, 2019
We define a Newman property for BLD-mappings and study its connections to the porosity of the branch set in the setting of generalized manifolds equipped with complete path ...
Luisto, Rami
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Quasiconformal curves and quasiconformal maps in metric spaces

Analysis and Geometry in Metric Spaces
In this article, we study quasiconformal curves which are a special case of quasiregular curves. Namely embeddings Ω→Rm\Omega \to {{\mathbb{R}}}^{m} from some domain Ω⊂Rn\Omega \subset {{\mathbb{R}}}^{n} to Rm{{\mathbb{R}}}^{m}, where n≤mn\le m, belong ...
Hitruhin Lauri, Tsantaris Athanasios
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Hölder continuity of harmonic quasiconformal mappings

Journal of Inequalities and Applications, 2011
We prove that for harmonic quasiconformal mappings α-Hölder continuity on the boundary implies α-Hölder continuity of the map itself.
Manojlović Vesna, Vuorinen Matti, Arsenović Miloš   +2 more
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