Results 141 to 150 of about 1,270,291 (205)

A note on Nicolas-Auguste Tissot: at the origin of quasiconformal mappings

Handbook of Teichmüller Theory, Volume VII, 2020
Nicolas-Auguste Tissot (1824--1897) was a French mathematician and cartographer. He introduced a tool which became known among geographers under the name ``Tissot indicatrix'', and which was widely used during the first half of the twentieth century in ...
A. Papadopoulos
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A note on Väisälä’s problem concerning free quasiconformal mappings

Monatshefte für Mathematik (Print), 2020
In this paper, we provide partial solutions to a problem raised by Väisälä on local properties of free quasiconformal mappings. In particular, we show that a locally free quasiconformal mapping is a globally free quasiconformal mapping under the ...
Qingshan Zhou, Yaxiang Li, A. Rasila
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On distortion of harmonic measure under locally quasiconformal mappings

Complex Variables and Elliptic Equations, 2020
The paper is devoted to the proof of new estimations of harmonic measure of a boundary arc of a Jordan domain D. The main result allows to estimate a distortion of harmonic measure under locally quasiconformal or quasiconformal mappings of the unit disk ...
S. Y. Graf
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Semi-linear equations and quasiconformal mappings

Complex Variables and Elliptic Equations, 2020
We study the Dirichlet problem for the semi-linear partial differential equations in simply connected domains D of the complex plane with continuous boundary data.
V. Gutlyanski, O. Nesmelova, V. Ryazanov
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Hardy spaces of harmonic quasiconformal mappings and Baernstein's theorem

Bulletin des Sciences Mathématiques
Let $\mathcal{S}_H^0(K)$, $K\ge 1$, be the class of normalized $K$-quasiconformal harmonic mappings in the unit disk. We obtain Baernstein type extremal results for the analytic and co-analytic parts of functions in the geometric subclasses of $\mathcal ...
Suman Das, Jie Huang, A. Rasila
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Extremal Quasiconformal Mappings

Results in Mathematics, 1986
Es wird eine Einführung und eine Übersicht gegeben über extremale quasikonforme Abbildungen (in ebenen Gebieten und auf Riemannschen Flächen). Mit der heutigen Definition ist das Existenzproblem sofort lösbar, hingegen sind verschiedene Eindeutigkeitsfragen immer noch offen (vor allem bei Randwertproblemen). Der Verf.
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On the coefficients estimate of K-quasiconformal harmonic mappings

Research in the Mathematical Sciences
Recently, the Wang et al. [15] proposed a coefficient conjecture for the family SH0(K)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{
Peijin Li, Saminathan Ponnusamy
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BMO-quasiconformal mappings

Journal d'Analyse Mathématique, 2001
Let \(f\) denote an ACL sense-preserving open and discrete mapping defined in a domain of the complex plane (where ACL stands for absolutely continuous on lines). Then the complex dilatation \(\mu(z)=\overline \partial f(z)/ \partial f(z)\) with \(|\mu |
Ryazanov, V., Srebro, U., Yakubov, E.
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Parametric Representations of Quasiconformal Mappings

Acta Mathematica Scientia, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lin, Zhenlian, Shi, Qingtian
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Discrete quasiconformal mappings

Zeitschrift für angewandte Mathematik und Physik ZAMP, 1978
Some basic properties of quasiconformal mappings are reviewed which leads to the development of discrete analogs of quasiconformal mappings of a multiply connected domain onto a rectangular domain with slits. These discrete mappings can be constructed by solving a system of equations.
Mastin, C. Wayne, Thompson, Joe F.
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