S. Bortz

activity

20152021

most citedReifenberg Flatness and Oscillation of the Unit Normal Vector

4 citations · 4 across the 4 of their papers we have counts for

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math.AP2021

Elliptic measures for Dahlberg-Kenig-Pipher operators: Asymptotically optimal estimates

Simon Bortz, Tatiana Toro, Zihui Zhao

Questions concerning quantitative and asymptotic properties of the elliptic measure corresponding to a uniformly elliptic divergence form operator have been the focus of recent stu…

math.AP2021

On Big Pieces approximations of parabolic hypersurfaces

Simon Bortz, John Hoffman, Steve Hofmann +2

Let $Σ$ be a closed subset of $R^{n + 1}$ which is parabolic Ahlfors-David regular and assume that $Σ$ satisfies a 2-sided corkscrew condition. Assume, in addition, that $Σ…

math.AP2018

$ε$ -Approximability of Harmonic Functions in $L^{p}$ Implies Uniform Rectifiability

Simon Bortz, Olli Tapiola

Suppose that $Ω \subset R^{n + 1}$ , $n \geq 2$ , is an open set satisfying the corkscrew condition with an $n$ -dimensional ADR boundary, $\partial Ω$ . In this note, we show tha…

math.AP2018

Quantitative Fatou Theorems and Uniform Rectifiability

Simon Bortz, Steve Hofmann

We show that a suitable quantitative Fatou Theorem characterizes uniform rectifiability in the codimension 1 case.

Elliptic measures for Dahlberg-Kenig-Pipher operators: Asymptotically optimal estimates

On Big Pieces approximations of parabolic hypersurfaces

ε-Approximability of Harmonic Functions in Lp Implies Uniform Rectifiability

Quantitative Fatou Theorems and Uniform Rectifiability

$ε$ -Approximability of Harmonic Functions in $L^{p}$ Implies Uniform Rectifiability