Murat Akman

activity

20132026

most citedRectifiability and elliptic measures on 1-sided NTA domains with Ahlfors-David regular boundaries

24 citations · 42 across the 15 of their papers we have counts for

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Showing 2016 · math.CAShow all

2 papers · 2 filters

math.CA2016

Absolute continuity of harmonic measure for domains with lower regular boundaries

Murat Akman, Jonas Azzam, Mihalis Mourgoglou

We study absolute continuity of harmonic measure with respect to surface measure on domains $Ω$ that have large complements. We show that if $Γ \subset R^{d + 1}$ is $d$ -Ahlf…

math.CA2016★ 10 cited

Rectifiability, interior approximation and Harmonic Measure

Murat Akman, Simon Bortz, Steve Hofmann +1

We prove a structure theorem for any $n$ -rectifiable set $E \subset R^{n + 1}$ , $n \geq 1$ , satisfying a weak version of the lower ADR condition, and having locally finite $H^n…