Boundary structure and size in terms of interior and exterior harmonic measures in higher dimensions

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/140739In this work we introduce the use of powerful tools from geometric measure theory (GMT) to study problems related to the size and structure of sets of mutual absolute continuity for the inside and outside harmonic measures of domains in n-dimensional Euclidean space, with n bigger than or equal to 3.Analysis of PDEsClassical Analysis and ODEs35J05,31B99,49Q15Boundary structure and size in terms of interior and exterior harmonic measures in higher dimensionstext