Results 11 to 20 of about 4,676 (117)
ON DISTORTION OF THE MODULI OF RINGS UNDER LOCALLY QUASICONFORMAL MAPPINGS IN R^n
Проблемы анализа, 2015 Some of the earlier results of author concerning distortion of the moduli of ring domains under planar locally quasiconformal mappings are generalized on the case of locally quasiconformal mappings in Rn, n ≥ 2.
S. Yu. Graf
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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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Counting and boundary limit theorems for representations of Gromov‐hyperbolic groups
Proceedings of the London Mathematical Society, Volume 127, Issue 3, Page 589-652, September 2023., 2023 Abstract Given a Gromov‐hyperbolic group G$G$ endowed with a finite symmetric generating set, we study the statistics of counting measures on the spheres of the associated Cayley graph under linear representations of G$G$. More generally, we obtain a weak law of large numbers for subadditive functions, echoing the classical Fekete lemma.
Stephen Cantrell, Cagri Sert
wiley +1 more source
Ivan Pesin (to his 90th anniversary)
Математичні Студії, 2020 The note is devoted to biography and achievements of Ukrainian mathematician Ivan Pesin (1930--1993).
M. Zarichnyi +3 more
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, 2015 Given a bounded domain $D \subset {\mathbb R}^n$ strictly starlike with respect to $0 \in D\,,$ we define a quasi-inversion w.r.t. the boundary $\partial D \,.$ We show that the quasi-inversion is bi-Lipschitz w.r.t.
Kalaj, David +2 more
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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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Quasiconformal mappings and curvatures on metric measure spaces
Pracì Mìžnarodnogo Geometričnogo Centru, 2023 In an attempt to develop higher-dimensional quasiconformal mappings on metric measure spaces with curvature conditions, i.e. from Ahlfors to Alexandrov, we show that for n≥2 a noncollapsed RCD(0,n) space with Euclidean volume growth is an n-Loewner space
Jialong Deng
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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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Modulus of surface families and the radial stretch in the Heisenberg group [PDF]
, 2015 We develop a modulus method for surface families inside a domain in the Heisenberg group and we prove that the stretch map between two Heisenberg spherical rings is a minimiser for the mean distortion among the class of contact quasiconformal maps ...
Platis, Ioannis D.
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On the behaviour of derivative of algebraic polynomials in the regions with cusps
Applied Mathematics in Science and Engineering, 2022 In this paper, we study the behavior of derivatives of algebraic polynomials in bounded and unbounded regions of the complex plane. At the same time, both interior and exterior cusp points are allowed on the boundary of such regions. Bernstein-Walsh-type
N. P. Özkartepe
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