4 citations · 4 across the 4 of their papers we have counts for
5 papers
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…
Parabolic Singular Integrals with Nonhomogeneous Kernels
Simon Bortz, John Hoffman, Steve Hofmann +2
We establish boundedness of all "nice" parabolic singular integrals on "Good Parabolic Graphs", aka {\em regular} Lip(1,1/2) graphs. The novelty here is that we include non-h…
Corona Decompositions for Parabolic Uniformly Rectifiable Sets
Simon Bortz, John Hoffman, Steve Hofmann +2
We prove that parabolic uniformly rectifiable sets admit (bilateral) corona decompositions with respect to regular Lip(1,1/2) graphs. Together with our previous work, this allows u…
On Big Pieces approximations of parabolic hypersurfaces
Simon Bortz, John Hoffman, Steve Hofmann +2
Let be a closed subset of which is parabolic Ahlfors-David regular and assume that satisfies a 2-sided corkscrew condition. Assume, in addition, that $Σ…
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…