Carleson measure estimates for caloric functions and parabolic uniformly rectifiable sets
Carleson measure estimates for caloric functions and parabolic uniformly rectifiable sets
Let E ⊂ R n+1 be a parabolic uniformly rectifiable set.We prove that every bounded solution u tosatisfies a Carleson measure estimate condition.An important technical novelty of our work is that we develop a corona domain approximation scheme for E in terms of regular Lip(1/2,1) graph domains.This approximation scheme has …