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 2018 · math.FAShow all

2 papers · 2 filters

math.FA2018★ 5 cited

Critical weak- $L^{p}$ differentiability of singular integrals

Luigi Ambrosio, Augusto C. Ponce, Rémy Rodiac

We establish that for every function $u \in L_{loc}^{1} (Ω)$ whose distributional Laplacian $Δ u$ is a signed Borel measure in an open set $Ω$ in $R^{N}$ , the distribut…

math.FA2018★ 4 cited

A decomposition by non-negative functions in the Sobolev space $W^{k, 1}$

Augusto C. Ponce, Daniel Spector

We show how a strong capacitary inequality can be used to give a decomposition of any function in the Sobolev space $W^{k, 1} (R^{d})$ as the difference of two non-negative fu…

Critical weak-Lp differentiability of singular integrals

A decomposition by non-negative functions in the Sobolev space Wk,1

Critical weak- $L^{p}$ differentiability of singular integrals

A decomposition by non-negative functions in the Sobolev space $W^{k, 1}$