Results 1 to 10 of about 16 (16)

Quasiconformal Jordan Domains

Analysis and Geometry in Metric Spaces, 2021
We extend the classical Carathéodory extension theorem to quasiconformal Jordan domains (Y, dY). We say that a metric space (Y, dY) is a quasiconformal Jordan domain if the completion ̄Y of (Y, dY) has finite Hausdorff 2-measure, the boundary ∂Y = ̄Y \ Y
Ikonen Toni
doaj   +1 more source

Chordal Hausdorff Convergence and Quasihyperbolic Distance

Analysis and Geometry in Metric Spaces, 2020
We study Hausdorff convergence (and related topics) in the chordalization of a metric space to better understand pointed Gromov-Hausdorff convergence of quasihyperbolic distances (and other conformal distances).
Herron David A., Richard Abigail, Snipes Marie A.   +2 more
doaj   +1 more source

Pull-Back of Metric Currents and Homological Boundedness of BLD-Elliptic Spaces

Analysis and Geometry in Metric Spaces, 2019
Using the duality of metric currents and polylipschitz forms, we show that a BLD-mapping f : X → Y between oriented cohomology manifolds X and Y induces a pull-back operator f* : Mk,loc(Y) → Mk,loc(X) between the spaces of metric k-currents of locally ...
Pankka Pekka, Soultanis Elefterios
doaj   +1 more source

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

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

Quasiconformal curves and quasiconformal maps in metric spaces

Analysis and Geometry in Metric Spaces
In this article, we study quasiconformal curves which are a special case of quasiregular curves. Namely embeddings Ω→Rm\Omega \to {{\mathbb{R}}}^{m} from some domain Ω⊂Rn\Omega \subset {{\mathbb{R}}}^{n} to Rm{{\mathbb{R}}}^{m}, where n≤mn\le m, belong ...
Hitruhin Lauri, Tsantaris Athanasios
doaj   +1 more source

Hölder continuity of harmonic quasiconformal mappings

Journal of Inequalities and Applications, 2011
We prove that for harmonic quasiconformal mappings α-Hölder continuity on the boundary implies α-Hölder continuity of the map itself.
Manojlović Vesna, Vuorinen Matti, Arsenović Miloš   +2 more
doaj  

Orlicz norm inequalities for the composite operator and applications

Journal of Inequalities and Applications, 2011
In this article, we first prove Orlicz norm inequalities for the composition of the homotopy operator and the projection operator acting on solutions of the nonhomogeneous A-harmonic equation.
Ding Shusen, Bi Hui
doaj  

On proper branched coverings and a question of Vuorinen. [PDF]

Bull Lond Math Soc, 2022
Kauranen A, Luisto R, Tengvall V.
europepmc   +1 more source

Serum PTH is not a good marker for defining a threshold for vitamin D deficiency. [PDF]

Endocr Connect, 2020
Jorde R, Grimnes G.
europepmc   +1 more source