A class of sets where convergence in Hausdorff sense and in measure coincide

We introduce a class of uniformly bounded closed sets such that, inside the class, convergence in Hausdorff sense and in measure do agree. We also show that the class is rich enough for applications to potential theory.

Bibliographic Details
Main Authors: Roberto Lucchetti, Fernando Sansò
Format: Article
Language:English
Published: Accademia Peloritana dei Pericolanti 2020-12-01
Series:Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali
Online Access: http://dx.doi.org/10.1478/AAPP.98S2A9