Results 41 to 50 of about 5,713 (169)

Hausdorff Dimension and Quasiconformal Mappings [PDF]

Journal of the London Mathematical Society, 1973
Peer Reviewed ; http://deepblue.lib.umich.edu/bitstream/2027.42/135677/1/jlms0504 ...
Gehring, F. W., Väisälä, J.
openaire   +3 more sources

Sobolev and quasiconformal distortion of intermediate dimension with applications to conformal dimension

Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract We study the distortion of intermediate dimension under supercritical Sobolev mappings and also under quasiconformal or quasisymmetric homeomorphisms. In particular, we extend to the setting of intermediate dimensions both the Gehring–Väisälä theorem on dilatation‐dependent quasiconformal distortion of dimension and Kovalev's theorem on the ...
Jonathan M. Fraser, Jeremy T. Tyson
wiley   +1 more source

Freely quasiconformal and locally weakly quasisymmetric mappings in metric spaces

Open Mathematics
In this article, we investigate the relationship between freely quasiconformal mappings and locally weakly quasisymmetric mappings in quasiconvex and complete metric spaces.
Liu Hong-Jun, Yan Sha-Sha, Xia Ling, Yu Zhi-Fa   +3 more
doaj   +1 more source

Beltrami Equations on Rossi Spheres

Mathematics, 2022
Beltrami equations L¯t(g)=μ(·,t)Lt(g) on S3 (where Lt, |t|
Elisabetta Barletta, Sorin Dragomir, Francesco Esposito   +2 more
doaj   +1 more source

On the extremality of quasiconformal mappings and quasiconformal deformations [PDF]

Proceedings of the American Mathematical Society, 1999
Given a family of quasiconformal deformations F ( w , t )
openaire   +2 more sources

From pathological to paradigmatic: A retrospective on Eremenko and Lyubich's entire functions

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract This paper surveys the impact of Eremenko and Lyubich's paper “Examples of entire functions with pathological dynamics”, published in 1987 in the Journal of the London Mathematical Society. Through a clever extension and use of classical approximation theorems, the authors constructed examples exhibiting behaviours previously unseen in ...
Núria Fagella, Leticia Pardo‐Simón
wiley   +1 more source

Arcwise Connected Domains, Quasiconformal Mappings, and Quasidisks

Abstract and Applied Analysis, 2014
We prove that a homeomorphism f:R2→R2 is a quasiconformal mapping if and only if f(D) is an arcwise connected domain for any arcwise connected domain D⊆R2, and D is a quasidisk if and only if both D and its exterior D*=R2∖D¯ are arcwise connected domains.
Yu-Ming Chu
doaj   +1 more source

Inequalities for quasiconformal mappings in space [PDF]

Pacific Journal of Mathematics, 1993
A new lower bound for the conformal capacity of the Grötzsch ring and sharp bounds for the radial distortion of a quasiconformal automorphism of the unit ball are obtained in \(n\)-space, \(n\geq 2\).
Anderson, G. D., Vamanamurthy, M. K., Vuorinen, M.   +2 more
openaire   +2 more sources

Uniqueness and non‐uniqueness for the asymptotic Plateau problem in hyperbolic space

Proceedings of the London Mathematical Society, Volume 132, Issue 1, January 2026.
Abstract We prove several results on the number of solutions to the asymptotic problem in H3$\mathbb {H}^3$. Firstly, we discuss criteria that ensure uniqueness. Given a Jordan curve Λ$\Lambda$ in the asymptotic boundary of H3$\mathbb {H}^3$, we show that uniqueness of the minimal surfaces with asymptotic boundary Λ$\Lambda$ is equivalent to uniqueness
Zheng Huang, Ben Lowe, Andrea Seppi
wiley   +1 more source

A Remark on Polygonal Quasiconformal Maps [PDF]

gmj, 2001
Abstract Given a quasisymmetric map , let 𝑓0 be an extremal quasiconformal extension of ℎ onto the upper half-plane 𝘜 = {𝑧 ∈ ℂ : 𝔍𝑧 > 0} whose dilatation 𝑘(𝑓0) = inf{𝑘(𝑓) : 𝑓|∂𝘜 = ℎ0} ≕ 𝑘(ℎ). Let 𝑘𝑛 be the minimal dilatation of polygonal quasiconformal maps 𝑓 : 𝘜 → 𝘜 satisfying 𝑓(𝑥𝑗) = ℎ(𝑥𝑗), 𝑗 = 1, 2, . . . , 𝑛, for any 𝑛 points of (
openaire   +2 more sources