Jonas Azzam

activity

20092025

most citedA new characterization of chord-arc domains

69 citations · 285 across the 26 of their papers we have counts for

collaborators

Showing 2020 · math.CAShow all

2 papers · 2 filters

math.CA2020★ 1 cited

An $α$ -number characterization of $L^{p}$ spaces on uniformly rectifiable sets

Jonas Azzam, Damian Dąbrowski

We give a characterization of $L^{p} (σ)$ for uniformly rectifiable measures $σ$ using Tolsa's $α$ -numbers, by showing, for $1 < p < \infty$ and $f \in L^{p} (σ)$ , that \[ \lVert f\rVert_…

math.CA2020

The weak lower density condition and uniform rectifiability

Jonas Azzam, Matthew Hyde

We show that an Ahlfors $d$ -regular set $E$ in $R^{n}$ is uniformly rectifiable if the set of pairs $(x, r) \in E \times (0, \infty)$ for which there exists $y \in B (x, r)$ and…

An α-number characterization of Lp spaces on uniformly rectifiable sets

The weak lower density condition and uniform rectifiability

An $α$ -number characterization of $L^{p}$ spaces on uniformly rectifiable sets