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

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Showing 2026 · math.APShow all

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math.AP2026

Parabolic uniform rectifiability is characterized by Carleson measure estimates for bounded caloric functions

Simon Bortz, Pablo Hidalgo-Palencia, Steve Hofmann +1

We show that the parabolic uniform rectifiability of a set can be characterized by an interior PDE property, namely Carleson measure estimates for bounded solutions to the heat equ…

math.AP2026

The parabolic Dini- $β$ condition and absolute continuity of surface and caloric measure

Simon Bortz, Moritz Egert, Sandra Ferris +1

We show if $\partial Ω$ is the graph of a parabolic Lipschitz function, then parabolic surface measure $σ$ of $\partial Ω$ is absolutely continuous with respect to its caloric meas…

Parabolic uniform rectifiability is characterized by Carleson measure estimates for bounded caloric functions

The parabolic Dini-β condition and absolute continuity of surface and caloric measure

The parabolic Dini- $β$ condition and absolute continuity of surface and caloric measure