Mihalis Mourgoglou

Rectifiability of harmonic measure

In the present paper we prove that for any open connected set

Square functions with general measures

{\Omega\subset\mathbb{R}^{n+1}}

Non-homogeneous Square Functions on General Sets: Suppression and Big Pieces Methods

Ω⊂Rn+1,

Note about square function estimates and uniformly rectifiable measures

{n\geq 1}

Singular Sets for Harmonic Measure on Locally Flat Domains with Locally Finite Surface Measure

n≥1, and any