S. Bortz

activity

20152026

most citedNon-local self-improving properties: A functional analytic approach

26 citations · 52 across the 26 of their papers we have counts for

collaborators

Showing 2023 · math.APShow all

3 papers · 2 filters

math.AP2023★ 1 cited

Solvability of the $L^{p}$ Dirichlet problem for the heat equation is equivalent to parabolic uniform rectifiability in the case of a parabolic Lipschitz graph

Simon Bortz, Steven Hofmann, José María Martell +1

We prove that if a parabolic Lipschitz (i.e., Lip(1,1/2)) graph domain has the property that its caloric measure is a parabolic $A_{\infty}$ weight with respect to surface measure (w…

math.AP2023

The $A_{\infty}$ condition, $ε$ -approximators, and Varopoulos extensions in uniform domains

Simon Bortz, Bruno Poggi, Olli Tapiola +1

Suppose that $Ω \subset R^{n + 1}$ , $n \geq 1$ , is a uniform domain with $n$ -Ahlfors regular boundary and $L$ is a (not necessarily symmetric) divergence form elliptic, real, bou…

math.AP2023

Critical Perturbations for Second Order Elliptic Operators. Part II: Non-tangential maximal function estimates

Simon Bortz, Steve Hofmann, José Luis Luna Garcia +2

This is the final part of a series of papers where we study perturbations of divergence form second order elliptic operators $- div A \nabla$ by first and zero order…

Solvability of the Lp Dirichlet problem for the heat equation is equivalent to parabolic uniform rectifiability in the case of a parabolic Lipschitz graph

The A∞​ condition, ε-approximators, and Varopoulos extensions in uniform domains

Critical Perturbations for Second Order Elliptic Operators. Part II: Non-tangential maximal function estimates

Solvability of the $L^{p}$ Dirichlet problem for the heat equation is equivalent to parabolic uniform rectifiability in the case of a parabolic Lipschitz graph

The $A_{\infty}$ condition, $ε$ -approximators, and Varopoulos extensions in uniform domains