Ilmari Kangasniemi

activity

20172026

most citedSharp cohomological bound for uniformly quasiregularly elliptic manifolds

9 citations · 35 across the 21 of their papers we have counts for

collaborators

Showing math.MGShow all

3 papers · 1 filter

math.MG2025

Warped products, solid hyperbolic fillings, and the identity $D^{1, p} = N^{1, p} + R$

Ilmari Kangasniemi, Josh Kline, Nageswari Shanmugalingam +1

We construct a large class of metric measure spaces $Z$ which satisfy the identity $D^{1, p} (Z) = N^{1, p} (Z) + R$ , i.e.\ any measurable function $u : Z \to R$ …

math.MG2024

On homogeneous Newton-Sobolev spaces of functions in metric measure spaces of uniformly locally controlled geometry

Ryan Gibara, Ilmari Kangasniemi, Nageswari Shanmugalingam

We study the large-scale behavior of Newton-Sobolev functions on complete, connected, proper, separable metric measure spaces equipped with a Borel measure $μ$ with $μ (X) = \infty$ …

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…

Warped products, solid hyperbolic fillings, and the identity D1,p=N1,p+R

On homogeneous Newton-Sobolev spaces of functions in metric measure spaces of uniformly locally controlled geometry

Cheeger's differentiation theorem via the multilinear Kakeya inequality

Warped products, solid hyperbolic fillings, and the identity $D^{1, p} = N^{1, p} + R$