Add to ORKGAbstract. Let f be a harmonic homeomorphism of the unit disk onto itself. The following conditions are equivalent: (a) f is quasiconformal; (b) f is bi-Lipschitz in the Euclidean metric; (c) the boundary function is bi-Lipschitz and the Hilbert transformation of its derivative is in L1. 1
ABSTRACT. Let Ω ⊂ Rn be a bounded domain with C ∞ boundary. We show that a harmonic function in Ω th...
We extend the classical Carathéodory extension theorem to quasiconformal Jordan domains (Y,dY). We s...
Recently J. Mateu, J. Orobitg, and J. Verdera showed that a Hölder continuous complex dilatation su...
Suppose that h is a harmonic mapping of the unit disc onto a C1, α domain D. We give sufficient and ...
AbstractContinued from Partyka and Sakan (Bull. Soc. Sci. Letters Lódź 47 (1997) 51–63) this paper a...
Any quasiconformal (abbreviatea ' q9 self-mapping of a Jordan domain G has a homeomorphic exten...
We show that quasiconformal harmonic mappings on the proper domains in R2 are bi-Lipschitz with resp...
Abstract. This paper studies boundary homeomorphisms of trans-quasiconformal maps of the unit disk. ...
We investigate the relationship between an open simply-connected region Omega subset of S-2 and the ...
Let g : M → N be a quasiconformal harmonic diffeomorphism between noncompact Riemann surfaces M and ...
Abstract. Given a bounded domain D ⊂ Rn strictly starlike with respect to 0 ∈ D, we define a quasi-i...
We obtain a sharp estimate of the derivatives of harmonic quasiconformal extension u = P [φ] of a Li...
We study the class of -harmonic -quasiconformal mappings with angular ranges. After building a diffe...
AbstractWe prove versions of the Ahlfors–Schwarz lemma for quasiconformal euclidean harmonic functio...
Let R be a compact surface and let Gamma be a Jordan curve which separates R into two connected comp...
ABSTRACT. Let Ω ⊂ Rn be a bounded domain with C ∞ boundary. We show that a harmonic function in Ω th...
We extend the classical Carathéodory extension theorem to quasiconformal Jordan domains (Y,dY). We s...
Recently J. Mateu, J. Orobitg, and J. Verdera showed that a Hölder continuous complex dilatation su...
Suppose that h is a harmonic mapping of the unit disc onto a C1, α domain D. We give sufficient and ...
AbstractContinued from Partyka and Sakan (Bull. Soc. Sci. Letters Lódź 47 (1997) 51–63) this paper a...
Any quasiconformal (abbreviatea ' q9 self-mapping of a Jordan domain G has a homeomorphic exten...
We show that quasiconformal harmonic mappings on the proper domains in R2 are bi-Lipschitz with resp...
Abstract. This paper studies boundary homeomorphisms of trans-quasiconformal maps of the unit disk. ...
We investigate the relationship between an open simply-connected region Omega subset of S-2 and the ...
Let g : M → N be a quasiconformal harmonic diffeomorphism between noncompact Riemann surfaces M and ...
Abstract. Given a bounded domain D ⊂ Rn strictly starlike with respect to 0 ∈ D, we define a quasi-i...
We obtain a sharp estimate of the derivatives of harmonic quasiconformal extension u = P [φ] of a Li...
We study the class of -harmonic -quasiconformal mappings with angular ranges. After building a diffe...
AbstractWe prove versions of the Ahlfors–Schwarz lemma for quasiconformal euclidean harmonic functio...
Let R be a compact surface and let Gamma be a Jordan curve which separates R into two connected comp...
ABSTRACT. Let Ω ⊂ Rn be a bounded domain with C ∞ boundary. We show that a harmonic function in Ω th...
We extend the classical Carathéodory extension theorem to quasiconformal Jordan domains (Y,dY). We s...
Recently J. Mateu, J. Orobitg, and J. Verdera showed that a Hölder continuous complex dilatation su...