Jonas Azzam

activity

20152025

most citedRectifiability of harmonic measure in domains with porous boundaries

6 citations · 6 across the 1 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.CA2019

Poincaré Inequalities and Uniform Rectifiability

Jonas Azzam

We show that any $d$ -Ahlfors regular subset of $R^{n}$ supporting a weak $(1, d)$ -Poincaré inequality with respect to surface measure is uniformly rectifiable.

math.CA2019

Harmonic measure and quantitative connectivity: geometric characterization of the $L^{p}$ -solvability of the Dirichlet problem

Jonas Azzam, Steve Hofmann, José María Martell +2

It is well-known that quantitative, scale invariant absolute continuity (more precisely, the weak- $A_{\infty}$ property) of harmonic measure with respect to surface measure, on the b…

math.CA2019

Harmonic Measure and the Analyst's Traveling Salesman Theorem

Jonas Azzam

We study how generalized Jones $β$ -numbers relate to harmonic measure. Firstly, we generalize a result of Garnett, Mourgoglou and Tolsa by showing that domains in $\mathbb{R}^{d+1}…

Poincaré Inequalities and Uniform Rectifiability

Harmonic measure and quantitative connectivity: geometric characterization of the Lp-solvability of the Dirichlet problem

Harmonic Measure and the Analyst's Traveling Salesman Theorem

Harmonic measure and quantitative connectivity: geometric characterization of the $L^{p}$ -solvability of the Dirichlet problem