Quasiconformality and quasisymmetry in metric measure spaces.

Tyson, Jeremy

Displaying similar documents to “Quasiconformality and quasisymmetry in metric measure spaces.”

On a Parametric Method for Conformal Maps with Quasiconformal Extensions

Alexander Vasilev (2004)

Publications de l'Institut Mathématique

Similarity:

On a parametric method for conformal maps with quasiconformal extensions.

Vasil'ev, Alexander (2004)

Publications de l'Institut Mathématique. Nouvelle Série

Similarity:

On a Parametric Method for Conformal Maps with Quasiconformal Extensions

Alexander Vasilev (2004)

Publications de l'Institut Mathématique

Similarity:

A new definition of quasisymmetric functions

J. Zajac (1988)

Matematički Vesnik

Similarity:

Quasiconformal mappings and asymptotic geometry of manifolds.

Zorich, V.A. (2004)

Publications de l'Institut Mathématique. Nouvelle Série

Similarity:

Quasiconformality and equivalent norms

Silviu Craciunas (2001)

Archivum Mathematicum

Similarity:

We study the behaviour of a quasiconformal mapping when we change the norms of the considered normed spaces by other equivalent norms. We propose a new metric definition with which we can study the interdependence between a quasiconformal homeomorphism and the new equivalent norms of the normed spaces.

Quasiconformality and equivalent norms

Silviu Craciunas (2001)

Archivum Mathematicum

Similarity:

Eine Klasse nichtschlichter konformer Abbildungen mit einer schlichten quasikonformen Fortsetzung. II

Reiner Kühnau (2011)

Annales UMCS, Mathematica

Similarity:

We study a dual analogue of the class Σ(κ) of hydrodynamically normalized schlicht conformal mappings g(z) of the exterior of the unit circle with a [...] -quasiconformal extension, namely now those (non-schlicht) mappings g(z) for which g(z) has such a quasiconformal extension.

Bounded geometry of quadrilaterals and variation of multipliers for rational maps

Kevin M. Pilgrim (2004)

Fundamenta Mathematicae

Similarity:

Let Q be the unit square in the plane and h: Q → h(Q) a quasiconformal map. When h is conformal off a certain self-similar set, the modulus of h(Q) is bounded independent of h. We apply this observation to give explicit estimates for the variation of multipliers of repelling fixed points under a "spinning" quasiconformal deformation of a particular cubic polynomial.

David maps and Hausdorff dimension.

Zakeri, Saeed (2004)

Annales Academiae Scientiarum Fennicae. Mathematica

Similarity:

Quasiconformal Analogues of a Theorem of Smirnov.

Bruce H. Hanson (1994)

Mathematica Scandinavica

Similarity:

Bilipschitz maps and the modulus of rings.

Rohde, S. (1997)

Annales Academiae Scientiarum Fennicae. Mathematica

Similarity:

The Schwarzian derivative for conformal maps.

Keith Carne (1990)

Journal für die reine und angewandte Mathematik

Similarity:

Quasiconformal mappings with Sobolev boundary values

Kari Astala, Mario Bonk, Juha Heinonen (2002)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Similarity:

We consider quasiconformal mappings in the upper half space $ℝ_{+}^{n + 1}$ of $ℝ^{n + 1}$ , $n \geq 2$ , whose almost everywhere defined trace in $ℝ^{n}$ has distributional differential in $L^{n} (ℝ^{n})$ . We give both geometric and analytic characterizations for this possibility, resembling the situation in the classical Hardy space $H^{1}$ . More generally, we consider certain positive functions defined on $ℝ_{+}^{n + 1}$ , called conformal densities. These densities mimic the averaged derivatives of quasiconformal mappings, and we prove analogous trace theorems...