The Mutual Singularity of Harmonic Measure and Hausdorff Measure of Codimension Smaller than One

Producció científica: Contribució a una revistaArticleRecercaAvaluat per experts

1 Citació (Scopus)

Resum

Let ω ℝn+1 be open and let E ω with 0 < Hs(E) < ∞, for some s ϵ (n, n + 1), satisfy a local capacity density condition. In this paper it is shown that the harmonic measure cannot be mutually absolutely continuous with the Hausdorff measure Hs on E. This answers a question of Azzam and Mourgoglou, who had proved the same result under the additional assumption that ω is a uniform domain.
Idioma originalEnglish
Pàgines (de-a)13783-13811
Nombre de pàgines29
RevistaInternational Mathematics Research Notices
Volum2021
Número18
DOIs
Estat de la publicacióPublicada - 1 de set. 2021

Fingerprint

Navegar pels temes de recerca de 'The Mutual Singularity of Harmonic Measure and Hausdorff Measure of Codimension Smaller than One'. Junts formen un fingerprint únic.

Com citar-ho