Results 151 to 160 of about 1,270,291 (205)
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Mathematical methods in the applied sciences, 2019
Let Hom+(T) be the class of all sense‐preserving homeomorphic self‐mappings of T={z=x+iy∈C:|z|=1} . The aim of this paper is twofold. First, we obtain Heinz‐type inequality for (K,K′)‐quasiconformal mappings satisfying inhomogeneous biharmonic equation Δ(
D. Zhong, Yu Zhou, W. Yuan
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Let Hom+(T) be the class of all sense‐preserving homeomorphic self‐mappings of T={z=x+iy∈C:|z|=1} . The aim of this paper is twofold. First, we obtain Heinz‐type inequality for (K,K′)‐quasiconformal mappings satisfying inhomogeneous biharmonic equation Δ(
D. Zhong, Yu Zhou, W. Yuan
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Weighted Hardy Spaces of Quasiconformal Mappings
Journal of Geometric Analysis, 2019We study the integral characterizations of weighted Hardy spaces of quasiconformal mappings on the n-dimensional unit ball using the weight (1-r)n-2+α\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts ...
S. Benedict, P. Koskela, Xining Li
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Iteration of Quasiconformal Maps
Qualitative Theory of Dynamical SystemszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Xu, Wang, Yukai, Chen, Guanrong
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, 2019
For two constants $$K\ge 1$$ K ≥ 1 and $$K'\ge 0$$ K ′ ≥ 0 , suppose that f is a $$(K,K')$$ ( K , K ′ ) -quasiconformal self-mapping of the unit disk $${\mathbb {D}}$$ D , which satisfies the following: (1) the inhomogeneous polyharmonic equation ...
Shaolin Chen, D. Kalaj
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For two constants $$K\ge 1$$ K ≥ 1 and $$K'\ge 0$$ K ′ ≥ 0 , suppose that f is a $$(K,K')$$ ( K , K ′ ) -quasiconformal self-mapping of the unit disk $${\mathbb {D}}$$ D , which satisfies the following: (1) the inhomogeneous polyharmonic equation ...
Shaolin Chen, D. Kalaj
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Extremal quasiconformal mappings
2006Abstract In this chapter, we investigate extremal quasiconformal mappings, which are extremal in the sense of minimizing the ∞ over all Beltrami differentials corresponding to quasiconformal mappings in the Teichmuoller equivalence class. Extremal mappings always exist, but need not be unique, as is shown in several examples. We show how
A Fletcher, V Markovic
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Riesz conjugate functions theorem for harmonic quasiconformal mappings
Advances in Mathematics, 2023Jinsong Liu, Jiang Zhu
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Space quasiconformal mappings and Neumann eigenvalues in fractal type domains
Georgian Mathematical Journal, 2018We study the variation of Neumann eigenvalues of the p-Laplace operator under quasiconformal perturbations of space domains. This study allows us to obtain the lower estimates of Neumann eigenvalues in fractal type domains. The proposed approach is based
V. Gol'dshtein +2 more
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Koebe Type Theorems and Pre-Schwarzian of Harmonic K-quasiconformal Mappings, and Their Applications
Acta Mathematica Sinica. English series, 2022Shaolin Chen, S. Ponnusamy
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Univalent Σ-harmonic mappings: connections with quasiconformal mappings
Journal d'Analyse Mathématique, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
G. Alessandrini, NESI, Vincenzo
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On Approximations of quasiconformal mappings
Complex Variables, Theory and Application: An International Journal, 1984Let (fn ) be a sequence of K−qc mappings of a domain G which tends locally uniformly to a mapping f≠ const. Then it is known that f is K – qc in G. It is shown that the local dilatations Dn(z) and D(z) satisfy a.e. in G. If there is equality on a set of positive measure E ⊃ G, there exists a subsequence (fn1 ) which is a good approximation of fon E ...
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