Results 31 to 40 of about 1,270,291 (205)
Loewner theory for quasiconformal extensions: old and new [PDF]
, 2019 This survey article gives an account of quasiconformal extensions of univalent functions with its motivational background from Teichm\"uller theory and classical and modern approaches based on Loewner theory.Comment: 25 pages, 3 figs.
Hotta, Ikkei
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On the inverse absolute continuity of quasiconformal mappings on hypersurfaces [PDF]
American Journal of Mathematics, 2018 :We construct quasiconformal mappings $f\colon\Bbb{R}^3\rightarrow\Bbb{R}^3$ for which there is a Borel set $E\subset\Bbb{R}^2\times\{0\}$ of positive Lebesgue $2$-measure whose image $f(E)$ has Hausdorff $2$-measure zero.
Dimitrios Ntalampekos, Matthew Romney
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On compact classes of solutions of Dirichlet problem in simply connected domains
Математичні Студії, 2023 The article is devoted to compactness of solutions of the Dirichlet problem for the Beltrami equation in some simply connected domain. In terms of prime ends, we have proved corresponding results for the case when the maximal dilatations of these ...
O. Dovhopiatyi, E. Sevost'yanov
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An N-dimensional version of the Beurling-Ahlfors extension [PDF]
, 2009 We extend monotone quasiconformal mappings from dimension n to n+1 while preserving both monotonicity and quasiconformality. The extension is given explicitly by an integral operator.
Kovalev, Leonid V., Onninen, Jani
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ON THE COMPACTNESS OF ONE CLASS OF QUASICONFORMAL MAPPINGS
Проблемы анализа, 2019 We consider an elliptic system in the disk |z| < 1 for the so-called p-analytic functions. This system admits degeneration at the boundary of the disk.
E. A. Shcherbakov, I. A. Avdeyev
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Quasiconformal mappings that highly distort dimensions of many parallel lines [PDF]
, 2016 We construct a quasiconformal mapping of $n$-dimensional Euclidean space, $n \geq 2$, that simultaneously distorts the Hausdorff dimension of a nearly maximal collection of parallel lines by a given amount.
Balogh, Zoltán M. +2 more
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Quasiconformal rectilinear map
Graphical Models, 2020 Abstract This paper presents a novel method to compute the quasiconformal rectilinear map for a 2D polygonal subdivision, which keeps the original topology and best preserves the shape of the original input in the elasticity sense by the curve-driven quasiconformal mapping.
Yi-Jun Yang, Wei Zeng
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An asymptotically sharp coefficients estimate for harmonic K-quasiconformal mappings
Journal of Inequalities and Applications, 2016 By using the improved Hübner inequalities, in this paper we obtain an asymptotically sharp lower bound estimate for the coefficients of harmonic K-quasiconformal self-mappings of the unit disk D ${\mathbb{D}}$ which keep the origin fixed.
Hong-Ping Li
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On the asymptotic behavior at infinity of one mapping class
Pracì Mìžnarodnogo Geometričnogo Centru, 2023 We study the asymptotic behavior at infinity of ring Q-homeomorphisms with respect to p-modulus for p ...
Bogdan Klishchuk +2 more
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Mapping problems for quasiregular mappings
, 2012 We study images of the unit ball under certain special classes of quasiregular mappings. For homeomorphic, i.e., quasiconformal mappings problems of this type have been studied extensively in the literature.
Huang, Manzi +2 more
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