Estimates for quasiconformal mappings onto canonical domains.
Explicit Quasiconformal Extensions for some Clases of Univalent Functions
Extension of internally bilipschitz maps in John disks.
Extensions of holomorphic motions
Extremal Quasiconformal Mappings with Free Boundary Components in Domains of Arbitray Connectivity.
Extremal quasiconformal polygon mappings for arbitrary subdomains of compact Riemann surfaces.
Factoring the logarithmic spiral.
Fine structure of prime-ends.
Finite distortion functions and Douglas-Dirichlet functionals
In this paper, we estimate the Douglas-Dirichlet functionals of harmonic mappings, namely Euclidean harmonic mapping and flat harmonic mapping, by using the extremal dilatation of finite distortion functions with given boundary value on the unit circle. In addition, -Dirichlet functionals of harmonic mappings are also investigated.
Fredholm spectrum and Grunsky inequalities in general domains
Function theory for a Beltrami algebra.
Functions of Bounded mean Oscillation and Quasiconformal Mappings
Funktionalabschätzungen bei quasikonformen Abbildungen mit Fredholmschen Eigenwerten.
General univalence criteria in the disk: Extensions and extremal function.
Generalized John disks
We establish the basic properties of the class of generalized simply connected John domains.
Geometric characterization for affine mappings and Teichmüller mappings
We characterize affine mappings on the unit disk and on rectangles by module conditions. The main result generalizes the classic Schwarz lemma. As an application, we give a sufficient condition for a K-quasiconformal mapping on a Riemann surface to be a Teichmüller mapping.
Geometric characterization for homeomorphisms between disks
We give some characterizations for certain homeomorphisms between disks in the complex plane, and we prove some Schwarz type theorems for such homeomorphisms. Our results replace the main result of Chen [Studia Math. 157 (2003)] which we show to be false.
Geometric properties of solutions to the anisotropic -Laplace equation in dimension two.
Growth of the coefficient auf quasiconformality and the boundary correspondence of automorphisms of a ball.
Grunsky coefficient inequalities, Caratheodory metric and extremal quasiconformal mappings.