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

Producción científica: Contribución a una revistaArtículoInvestigaciónrevisión exhaustiva

1 Cita (Scopus)

Resumen

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 originalInglés
Páginas (desde-hasta)13783-13811
Número de páginas29
PublicaciónInternational Mathematics Research Notices
Volumen2021
N.º18
DOI
EstadoPublicada - 1 sept 2021

Huella

Profundice en los temas de investigación de 'The Mutual Singularity of Harmonic Measure and Hausdorff Measure of Codimension Smaller than One'. En conjunto forman una huella única.

Citar esto