Weak Chord-Arc Curves and Double-Dome Quasisymmetric Spheres
| Autor: | Vellis Vyron |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: | |
| Zdroj: | Analysis and Geometry in Metric Spaces, Vol 4, Iss 1 (2016) |
| Druh dokumentu: | article |
| ISSN: | 2299-3274 |
| DOI: | 10.1515/agms-2016-0002 |
| Popis: | Let Ω be a planar Jordan domain and α > 0. We consider double-dome-like surfaces Σ(Ω, tα) over Ω where the height of the surface over any point x ∈ Ωequals dist(x, ∂Ω)α. We identify the necessary and sufficient conditions in terms of and α so that these surfaces are quasisymmetric to S2 and we show that Σ(Ω, tα) is quasisymmetric to the unit sphere S2 if and only if it is linearly locally connected and Ahlfors 2-regular. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
|