Tuomas Orponen

activity

20102026

most citedOn restricted families of projections in R^3

52 citations · 367 across the 81 of their papers we have counts for

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3 papers · 1 filter

math.MG2019

Quantitative Alberti representations in spaces of bounded geometry

Tuomas Orponen

A metric measure space $(X, d, μ)$ is said to be $A_{\infty}$ on curves if there exist constants $τ < 1$ and $θ > 0$ with the following property. For every $x \in X$ , $0 < r \leq \math…

math.MG2019★ 3 cited

Cheeger's differentiation theorem via the multilinear Kakeya inequality

David Bate, Ilmari Kangasniemi, Tuomas Orponen

Suppose that $(X, d, μ)$ is a metric measure space of finite Hausdorff dimension and that, for every Lipschitz $f : X \to R$ , $Lip (f, \cdot)$ is dominated…

math.MG2018

Metric currents and the Poincaré inequality

Katrin Fässler, Tuomas Orponen

We show that a complete doubling metric space $(X, d, μ)$ supports a weak $1$ -Poincaré inequality if and only if it admits a pencil of curves (PC) joining any pair of points $s,t \in…