Gareth Speight

activity

20162026

most citedDomains in metric measure spaces with boundary of positive mean curvature, and the Dirichlet problem for functions of least gradient

1 citations · 1 across the 10 of their papers we have counts for

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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.DG2025

Directional Pliability, Whitney Extension, and Lusin Approximation for Curves in Carnot Groups

Gareth Speight, Scott Zimmerman

We show that, in arbitrary Carnot groups, pliability in a subset of directions is sufficient to guarantee the existence of a Whitney-type extension and a Lusin approximation for cu…

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

Directional Pliability, Whitney Extension, and Lusin Approximation for Curves in Carnot Groups

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