69 citations · 192 across the 31 of their papers we have counts for
15 papers · 1 filter
Square function and non-tangential maximal function estimates for elliptic operators in 1-sided NTA domains satisfying the capacity density condition
Murat Akman, Steve Hofmann, José María Martell +1
Let , , be a 1-sided non-tangentially accessible domain (aka uniform domain), that is, satisfies the interior Corkscrew and Harnack chain cond…
Perturbations of elliptic operators in 1-sided chord-arc domains. Part II: Non-symmetric operators and Carleson measure estimates
Juan Cavero, Steve Hofmann, José María Martell +1
We generalize to the setting of 1-sided chord-arc domains, that is, to domains satisfying the interior Corkscrew and Harnack Chain conditions (these are respectively scale-invarian…
Two Phase Free Boundary Problem for Poisson Kernels
Simon Bortz, Max Engelstein, Max Goering +2
We provide a potential theoretic characterization of vanishing chord-arc domains under minimal assumptions. In particular we show that, if a domain has Ahlfors regular boundary, th…
Perturbation of elliptic operators in 1-sided NTA domains satisfying the capacity density condition
Murat Akman, Steve Hofmann, José María Martell +1
Let , , be a 1-sided non-tangentially accessible domain (aka uniform domain), i.e., a set which satisfies the interior Corkscrew and Harnack chain…
Characterization of rectifiable measures in terms of -numbers
Jonas Azzam, Xavier Tolsa, Tatiana Toro
We characterize Radon measures in that are -rectifiable in the sense that their supports are covered up to -measure zero by countably many -dimensiona…
implies NTA for a class of variable coefficient elliptic operators
Steve Hofmann, José María Martell, Tatiana Toro
We consider a certain class of second order, variable coefficient divergence form elliptic operators, in a uniform domain with Ahlfors regular boundary, and we show that the $A…