2 papers
math.AP2023
Cantor sets with absolutely continuous harmonic measure
Guy David, Cole Jeznach, Antoine Julia
We construct Ahlfors regular Cantor sets of small dimension in the plane, such that the Hausdorff measure on is equivalent to the harmonic measure associated to its complem…
math.AP2022
Small results for Dahlberg-Kenig-Pipher operators in sets with uniformly rectifiable boundaries
Guy David, Linhan Li, Svitlana Mayboroda
In the present paper, we consider elliptic operators in a domain bounded by a chord-arc surface with small enough constant, and whose coefficients $A…