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Rendiconti del Circolo Matematico di Palermo

, Volume 28, Issue 1, pp 134–142 | Cite as

Ereditarietà delle misure di Caratheodory

  • L. Di Piazza
  • C. Maniscalco
  • T. Marino
Article
  • 15 Downloads

Abstract

Let μ be a diffuse Carathéodory measure. The purpose of this paper is to prove that, for every open setU inR, μ(·∩U) is a Carathéodory measure too.

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Bibliografia

  1. [1]
    Bruneau M.,Variation totale d'une fonction, Lecture Notes in Mathematics,413, Springer-Verlag, 1974.Google Scholar
  2. [2]
    Bruneau M.,Mesures de Carathéodory et variation totale d'une fonction, C.R. Acad. Sc. Paris,274 (1972), 1801–1804.MATHMathSciNetGoogle Scholar
  3. [3]
    Halmos P.,Measure theory, Van Nostrand, New York, 1950.MATHGoogle Scholar
  4. [4]
    Rogers C.,Hausdorff measures, Cambridge University Press, 1970.Google Scholar

Copyright information

© Springer 1979

Authors and Affiliations

  • L. Di Piazza
    • 1
  • C. Maniscalco
    • 1
  • T. Marino
    • 1
  1. 1.Istituto di MatematicaPalermo

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