Matthew Badger

activity

20092026

most citedNull sets of harmonic measure on NTA domains: Lipschitz approximation revisited

46 citations · 151 across the 23 of their papers we have counts for

collaborators

Showing 2014Show all

3 papers · 1 filter

math.CA2014

Two sufficient conditions for rectifiable measures

Matthew Badger, Raanan Schul

We identify two sufficient conditions for locally finite Borel measures on $R^{n}$ to give full mass to a countable family of Lipschitz images of $R^{m}$ . The first c…

math.CA2014

Local set approximation: Mattila-Vuorinen type sets, Reifenberg type sets, and tangent sets

Matthew Badger, Stephen Lewis

We investigate the interplay between the local and asymptotic geometry of a set $A \subseteq R^{n}$ and the geometry of model sets $\mathcal{S} \subset \mathcal{P}(\mathbb{R…

math.CA2014★ 4 cited

Quasiconformal planes with bi-Lipschitz pieces and extensions of almost affine maps

Jonas Azzam, Matthew Badger, Tatiana Toro

A quasiplane $f (V)$ is the image of an $n$ -dimensional Euclidean subspace $V$ of $R^{N}$ ( $1 \leq n \leq N - 1$ ) under a quasiconformal map $f : R^{N} \to R^{N}$ . We give s…