We give a quasiconformal version of the proof for the classical Lindelof theorem: Let \(f\) map the unit disk \(\mathbb{D}\) conformally onto the inner domain of a Jordan curve \(\mathcal{C}\): Then \(\mathcal{C}\) is smooth if and only if arg \(f'(z)\) has a continuous extension to \(\overline{\mathbb{D}}\). Our proof does not use the Poisson integral representation of harmonic functions in the unit disk
AbstractWe extend Dyakonov's theorem on the moduli of holomorphic functions to the case of Lp-norms
AbstractThe Poincaré–Bertrand formula concerning two repeated Cauchy's principal integrals on a smoo...
In this paper, we consider mappings on uniform domains with exponentially integrable distortion who...
We establish that every K-quasiconformal mapping w of the unit disk D onto a C-2-Jordan domain is Li...
AbstractLet f be a mapping of the open unit disk U onto itself having a non-singular differentiable ...
AbstractLet H be the class of harmonic automorphisms of the unit disk D. The function F=h−g associat...
summary:If the Poisson integral of the unit disc is replaced by its square root, it is known that no...
AbstractContinued from Partyka and Sakan (Bull. Soc. Sci. Letters Lódź 47 (1997) 51–63) this paper a...
AbstractWe consider a class of analytic functions that are closely related to approximate conformal ...
AbstractLet f(z) be an analytic function defined in the unit disc whose fractional derivative of ord...
Given a quasisymmetric automorphism \(\gamma\) of the unit circle \(\mathbb{T}\) we define and study...
We consider an elliptic system in the disk |z| < 1 for the so-called p-analytic functions. This sys...
domains D and D ' i! the complex plane C always llras a boundary extension, i.e. there is a hom...
summary:We study relations between the Lindelöf property in the spaces of continuous functions with ...
We prove that a harmonic quasiconformal mapping defined on a finitely connected domain in the plane,...
AbstractWe extend Dyakonov's theorem on the moduli of holomorphic functions to the case of Lp-norms
AbstractThe Poincaré–Bertrand formula concerning two repeated Cauchy's principal integrals on a smoo...
In this paper, we consider mappings on uniform domains with exponentially integrable distortion who...
We establish that every K-quasiconformal mapping w of the unit disk D onto a C-2-Jordan domain is Li...
AbstractLet f be a mapping of the open unit disk U onto itself having a non-singular differentiable ...
AbstractLet H be the class of harmonic automorphisms of the unit disk D. The function F=h−g associat...
summary:If the Poisson integral of the unit disc is replaced by its square root, it is known that no...
AbstractContinued from Partyka and Sakan (Bull. Soc. Sci. Letters Lódź 47 (1997) 51–63) this paper a...
AbstractWe consider a class of analytic functions that are closely related to approximate conformal ...
AbstractLet f(z) be an analytic function defined in the unit disc whose fractional derivative of ord...
Given a quasisymmetric automorphism \(\gamma\) of the unit circle \(\mathbb{T}\) we define and study...
We consider an elliptic system in the disk |z| < 1 for the so-called p-analytic functions. This sys...
domains D and D ' i! the complex plane C always llras a boundary extension, i.e. there is a hom...
summary:We study relations between the Lindelöf property in the spaces of continuous functions with ...
We prove that a harmonic quasiconformal mapping defined on a finitely connected domain in the plane,...
AbstractWe extend Dyakonov's theorem on the moduli of holomorphic functions to the case of Lp-norms
AbstractThe Poincaré–Bertrand formula concerning two repeated Cauchy's principal integrals on a smoo...
In this paper, we consider mappings on uniform domains with exponentially integrable distortion who...
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