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

Authors

DOI:

https://doi.org/10.1478/AAPP.98S2A9

Keywords:

Hausdorff convergence, convergence in measure, star shaped sets

Abstract

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.

Author Biographies

  • Roberto Lucchetti, Politecnico di Milano
    Dipartimento di Matematica
  • Fernando Sansò, Politecnico di Milano
    Dipartimento di Ingegneria Civile e Ambientale

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Published

2020-12-13

Issue

Vol 98, SUPPL NO 2 (2020): VA.PDE.ME.19

Section

Variational Analysis, PDEs and Mathematical Economics (Conference Proceedings)

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