Results 91 to 100 of about 5,713 (169)
On boundary distortion estimates of homeomorphisms with a fixed point
Pracì Mìžnarodnogo Geometričnogo CentruThe article is devoted to the study of homeomorphisms that distort the modulus of families of paths according to the Poletsky inequality type. We consider the case when the majorant, corresponding to the distortion of the modulus, has finite mean ...
Evgeny Sevost'yanov, Victoria Desyatka
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Zhejiang Daxue xuebao. Lixue ban, 2008 在Heisenberg群上的有界区域Ω上定义了Royden p-代数（p>1），进而证明了Heisenberg群上的两个有界区域拟共形等价的充要条件是它们的Royden （2n+2）-代数是Banach代数同构.
JIANGZhao-ying(姜兆英) +1 more
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Rotation Bounds for Hölder Continuous Homeomorphisms with Integrable Distortion. [PDF]
J Geom Anal, 2022 Clop A, Hitruhin L, Sengupta B.
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On the Maximal Dilation of Quasiconformal Mappings [PDF]
Proceedings of the American Mathematical Society, 1955 1. Let G and G' be two plane open sets and w(z) a topological mapping of G onto G'. By Q we denote any quadrilateral in G, i.e. the topological image of a closed square with a distinguished pair of opposite sides. The conformal modulus m of Q is the ratio m = a/b of the sides of a conformally equivalent rectangle R, the distinguished sides of Q ...
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Quasiconformal mappings and degenerate elliptic and parabolic equations
Le Matematiche, 1987 In this paper two Harnak inequalities are proved concerning a degenerate elliptic and a degenerate parabolic equation. In both cases the weight giving the degeneracy is a power of the jacobian of a quasiconformal mapping.
Filippo Chiarenza +1 more
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Quantitative characterization of the human retinotopic map based on quasiconformal mapping. [PDF]
Med Image Anal, 2022 Ta D, Tu Y, Lu ZL, Wang Y.
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Doubling measures and quasiconformal maps
Commentarii Mathematici Helvetici, 1992 In the study of quasiconformal maps, one commonly asks, ``Which classes of maps or measures are preserved under quasiconformal maps?'', and conversely, ``When does the said preservation property imply the quasiconformality of the map''''. These questions have been previously studied by Reimann, Uchiyama, and the author with respect to the classes of ...
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On multifractal spectrum of quasiconformal mappings
Annales Academiae Scientiarum Fennicae Mathematica, 2016 This is a nice paper, which deals with the multifractal spectra of quasiconformal mappings, that is, with the maximum size of the sets in which quasiconformal mapping stretches and rotates according to given parameters. Some examples of quasiconformal mappings are constructed, which improve a previous result by \textit{K. Astala} et al. [Publ.
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Quasiregular mappings between subRiemannian manifolds
, 2018 The paper is devoted to establishing the foundations of the theory of quasiregular mappings $f:M\to N$ between two equiregular subRiemannian manifolds of homogenuous dimension $Q\geq 2$. In particular, we generalize the notion of $P$-differentiability of
Golo, Sebastiano Nicolussi +2 more
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On Heinz type inequality and Lipschitz characteristic for mappings satisfying polyharmonic equations
, 2019 For $K\geq1$, suppose that $f$ is a $K$-quasiconformal self-mapping of the unit ball $\mathbb{B}^{n}$, which satisfies the following: $(1)$ the polyharmonic equation $\Delta^{m}f=\Delta(\Delta^{m-1} f)$$=\varphi_{m}$ $(\varphi_{m}\in\mathcal{C}(\overline{
Chen, Shaolin
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