4 papers
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 by first and zero order…
Carleson measure estimates for caloric functions and parabolic uniformly rectifiable sets
Simon Bortz, John Hoffman, Steve Hofmann +2
Let be a parabolic uniformly rectifiable set. We prove that every bounded solution to $$\partial_tu- Δu=0, \quad \text{in} \quad \mathbb R^{n+1}\set…
Coronizations and big pieces in metric spaces
Simon Bortz, John Hoffman, Steve Hofmann +2
We prove that coronizations with respect to arbitrary d-regular sets (not necessarily graphs) imply big pieces squared of these (approximating) sets. This is known (and due to Davi…
Critical Perturbations for Second Order Elliptic Operators. Part I: Square function bounds for layer potentials
Simon Bortz, Steve Hofmann, José Luis Luna Garcia +2
This is the first part of a series of two papers where we study perturbations of divergence form second order elliptic operators by first an…