Toni Ikonen

activity

20192026

most citedExtensions and approximations of Banach-valued Sobolev functions

3 citations · 3 across the 11 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.MG2020

Abstract and concrete tangent modules on Lipschitz differentiability spaces

Toni Ikonen, Enrico Pasqualetto, Elefterios Soultanis

We construct an isometric embedding from Gigli's abstract tangent module into the concrete tangent module of a space admitting a (weak) Lipschitz differentiable structure, and give…

math.MG2020

Quasiconformal Jordan domains

Toni Ikonen

We extend the classical Carathéodory extension theorem to quasiconformal Jordan domains $(Y, d_{Y})$ . We say that a metric space $(Y, d_{Y})$ is a quasiconformal Jordan domain…

math.MG2020

Quasiconformal geometry and removable sets for conformal mappings

Toni Ikonen, Matthew Romney

We study metric spaces defined via a conformal weight, or more generally a measurable Finsler structure, on a domain $Ω \subset R^{2}$ that vanishes on a compact set $E \subs…