J. Garnett

activity

20092022

most citedUniform rectifiability from Carleson measure estimates and

ε

-approximability of bounded harmonic functions

29 citations · 53 across the 8 of their papers we have counts for

collaborators

Showing 2016Show all

2 papers · 1 filter

math.CA2016★ 29 cited

Uniform rectifiability from Carleson measure estimates and $ε$ -approximability of bounded harmonic functions

John Garnett, Mihalis Mourgoglou, Xavier Tolsa

Let $Ω \subset R^{n + 1}$ , $n \geq 1$ , be a corkscrew domain with Ahlfors-David regular boundary. In this paper we prove that $\partial Ω$ is uniformly $n$ -rectifiable if every bo…

math.CA2016★ 18 cited

Uniform rectifiability, elliptic measure, square functions, and $ε$ -approximability via an ACF monotonicity formula

Jonas Azzam, John Garnett, Mihalis Mourgoglou +1

Let $Ω \subset R^{n + 1}$ , $n \geq 2$ , be an open set with Ahlfors-David regular boundary that satisfies the corkscrew condition. We consider a uniformly elliptic operator $L$ i…

Uniform rectifiability from Carleson measure estimates and ε-approximability of bounded harmonic functions

Uniform rectifiability, elliptic measure, square functions, and ε-approximability via an ACF monotonicity formula

Uniform rectifiability from Carleson measure estimates and $ε$ -approximability of bounded harmonic functions

Uniform rectifiability, elliptic measure, square functions, and $ε$ -approximability via an ACF monotonicity formula