A. Ponce

activity

20062025

most citedDiffuse measures and nonlinear parabolic equations

70 citations · 257 across the 32 of their papers we have counts for

collaborators

Showing 2020 · math.CAShow all

2 papers · 2 filters

math.CA2020★ 1 cited

A decomposition for Borel measures $μ \leq H^{s}$

Antoine Detaille, Augusto C. Ponce

We prove that every finite Borel measure $μ$ in $R^{N}$ that is bounded from above by the Hausdorff measure $H^{s}$ can be split in countable many parts $μ\lfloor_{E…

math.CA2020★ 5 cited

The precise representative for the gradient of the Riesz potential of a finite measure

Julià Cufí, Augusto C. Ponce, Joan Verdera

Given a finite nonnegative Borel measure $m$ in $R^{d}$ , we identify the Lebesgue set $L (V_{s}) \subset R^{d}$ of the vector-valued function $$V_{s}(x)…

A decomposition for Borel measures μ≤Hs

The precise representative for the gradient of the Riesz potential of a finite measure

A decomposition for Borel measures $μ \leq H^{s}$