Conformal invariants in the punctured unit disk.
Constructing quasisymmetric functions via graph-directed iterated function systems.
Convex integration and the theory of elliptic equations
This paper deals with the theory of linear elliptic partial differential equations with bounded measurable coefficients. We construct in two dimensions examples of weak and so-called very weak solutions, with critical integrability properties, both to isotropic equations and to equations in non-divergence form. These examples show that the general theory, developed in [1, 24] and [2], cannot be extended under any restriction on the essential range of the coefficients. Our constructions are based...
Convolution and Quasiconformal Extension
Counterexamples for unique continuation.
Covering of radial segments for domains bounded by -circles.
David maps and Hausdorff dimension.
Die hyperbolische Metrik als Grenzfall einer durch quasikonforme Abbildungen definierten Metrik
Dirichlet forms, quasiregular functions and Brownian motion.
Dirichlet's Principle, Uniqueness of Harmonic Maps and Extremal QC Mappings
Distortion function and quasisymmetric mappings
We study the relationship between the distortion function and normalized quasisymmetric mappings. This is part of a new method for solving the boundary values problem for an arbitrary K-quasiconformal automorphism of a generalized disc on the extended complex plane.
Distortion of the exponent of convergence in space.
Domain constants associated with Schwarzian derivative.
Dynamics of certain nonconformal degree-two maps of the plane.
Ein Fortsetzungssatz für quasikonforme Deformationen.
Eine Extremalcharakterisierung von Unterschallgasströmungen durch quasikonforme Abbildungen
Eine Klasse nichtschlichter konformer Abbildungen mit einer schlichten quasikonformen Fortsetzung. II
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.
Elliptic Equations and Maps of Bounded Length Disortion.
Empilements de cercles et modules combinatoires
Le but de cette note est de tenter d’expliquer les liens étroits qui unissent la théorie des empilements de cercles et des modules combinatoires et de comparer les approches à la conjecture de J.W. Cannon qui en découlent.
Estimates for asymptotically conformal mappings.