4 citations · 6 across the 4 of their papers we have counts for
4 papers
Some remarks on the Lipschitz regularity of Radon transforms
Jonas Azzam, Jonathan Hickman, Sean Li
A set in the Euclidean plane is constructed whose image under the classical Radon transform is Lipschitz in every direction. It is also shown that, under mild hypotheses, for any s…
Characterization of -rectifiability in terms of Jones' square function: Part II
Jonas Azzam, Xavier Tolsa
We show that a Radon measure in which is absolutely continuous with respect to the -dimensional Hausdorff measure is -rectifiable if the so called Jon…
Wasserstein Distance and the Rectifiability of Doubling Measures: Part II
Jonas Azzam, Guy David, Tatiana Toro
We study the structure of the support of a doubling measure by analyzing its self-similarity properties, which we estimate using a variant of the Wasserstein distance. We sho…
Quasiconformal planes with bi-Lipschitz pieces and extensions of almost affine maps
Jonas Azzam, Matthew Badger, Tatiana Toro
A quasiplane is the image of an -dimensional Euclidean subspace of () under a quasiconformal map . We give s…