Results 71 to 80 of about 4,681 (167)

Mappings of generalized finite distortion and continuity

Journal of the London Mathematical Society, Volume 109, Issue 1, January 2024.
Abstract We study continuity properties of Sobolev mappings f∈Wloc1,n(Ω,Rn)$f \in W_{\mathrm{loc}}^{1,n} (\Omega , \mathbb {R}^n)$, n⩾2$n \geqslant 2$, that satisfy the following generalized finite distortion inequality Df(x)n⩽K(x)Jf(x)+Σ(x)$$\begin{equation*} \hspace*{4.6pc}{\left| Df(x) \right|}^n \leqslant K(x) J_f(x) + \Sigma (x) \end{equation ...
Anna Doležalová, Ilmari Kangasniemi, Jani Onninen   +2 more
wiley   +1 more source

A complex structure on the moduli space of rigged Riemann surfaces

, 2005
The study of Riemann surfaces with parametrized boundary components was initiated in conformal field theory (CFT). Motivated by general principles from Teichmueller theory, and applications to the construction of CFT from vertex operator algebras, we ...
Radnell, David, Schippers, Eric
core   +1 more source

Quantitative characterization of the human retinotopic map based on quasiconformal mapping. [PDF]

Med Image Anal, 2022
Ta D, Tu Y, Lu ZL, Wang Y.
europepmc   +1 more source

Asymptotic Growth of Moduli of m-th Derivatives of Algebraic Polynomials in Weighted Bergman Spaces on Regions Without Zero Angles

Axioms
In this paper, we study asymptotic bounds on the m-th derivatives of general algebraic polynomials in weighted Bergman spaces. We consider regions in the complex plane defined by bounded, piecewise, asymptotically conformal curves with strictly positive ...
Uğur Değer, Meerim Imashkyzy, Fahreddin G. Abdullayev   +2 more
doaj   +1 more source

Quasiconformal Extensions of Harmonic Mappings

The Journal of Geometric Analysis, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Extremal Problems for Quasiconformal Mappings

Journal of Mathematical Analysis and Applications, 2000
Let \(X\) and \(Y\) be two hyperbolic Riemann surfaces covered by the unit disc \(\Delta=\{z;|z|
openaire   +2 more sources

Rotation Bounds for Hölder Continuous Homeomorphisms with Integrable Distortion. [PDF]

J Geom Anal, 2022
Clop A, Hitruhin L, Sengupta B.
europepmc   +1 more source

On Distortion under Quasiconformal Mapping

Rocky Mountain Journal of Mathematics, 2004
Let \(S\) be the Riemann sphere with punctures at \(0\) and \(1\). For \(K\geq 1\), let \(Q_K\) denote the class of univalent functions on \(S\) which are \(K\)-quasiconformal which satisfy \(f(S)=S\), \(f(0)=0\) and \(f(1)=1\) and let \(F(f)\) be a continuous functional (or system of functionals) over \(Q_K\). The author calls the ``extremal problem''
openaire   +6 more sources

Finely quasiconformal mappings

Proceedings of the Royal Society of Edinburgh: Section A Mathematics
We introduce a relaxed version of the metric definition of quasiconformality that is natural also for mappings of low regularity, including $W_{\mathrm{loc}}^{1,1}({\mathbb R}^n;{\mathbb R}^n)$ -mappings. Then we show on the plane that this relaxed definition can be used to prove Sobolev regularity, and that these ‘finely ...
openaire   +2 more sources

Metric quasiconformality and Sobolev regularity in non-Ahlfors regular spaces

Analysis and Geometry in Metric Spaces
Given a homeomorphism f:X→Yf:X\to Y between QQ-dimensional spaces X,YX,Y, we show that ff satisfying the metric definition of quasiconformality outside suitable exceptional sets implies that ff belongs to the Sobolev class Nloc1,p(X;Y){N}_{{\rm{loc}}}^{1,
Lahti Panu, Zhou Xiaodan
doaj   +1 more source