Gareth Speight

activity

20112026

most citedDifferentiability, Porosity and Doubling in Metric Measure Spaces

29 citations · 43 across the 21 of their papers we have counts for

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Showing 2014Show all

3 papers · 1 filter

math.MG2014

Lusin Approximation and Horizontal Curves in Carnot Groups

Gareth Speight

We show that, given an absolutely continuous horizontal curve $γ$ in the Heisenberg group, there is a $C^{1}$ horizontal curve $Γ$ such that $Γ = γ$ and $Γ^{'} = γ^{'}$ outside a set of small…

math.FA2014★ 3 cited

Tensorization of Cheeger energies, the space $H^{1, 1}$ and the area formula for graphs

Luigi Ambrosio, Andrea Pinamonti, Gareth Speight

First we study in detail the tensorization properties of weak gradients in metric measure spaces $(X, d, m)$ . Then, we compare potentially different notions of Sobolev space $H^{1,1}…

math.AP2014

Weighted Sobolev Spaces on Metric Measure Spaces

Luigi Ambrosio, Andrea Pinamonti, Gareth Speight

We investigate weighted Sobolev spaces on metric measure spaces $(X, d, m)$ . Denoting by $ρ$ the weight function, we compare the space $W^{1, p} (X, d, ρ m)$ (which always concides with t…

Lusin Approximation and Horizontal Curves in Carnot Groups

Tensorization of Cheeger energies, the space H1,1 and the area formula for graphs

Weighted Sobolev Spaces on Metric Measure Spaces

Tensorization of Cheeger energies, the space $H^{1, 1}$ and the area formula for graphs