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Hausdorff and Radon Measures

  • Mariano Giaquinta
  • Giuseppe Modica
Chapter

Abstract

In this chapter we present the fundamental theorems of measure theory, such as the Lebesgue–Besicovitch differentiation theorem, the Stieltjes– Lebesgue theory of integral, the fundamental properties of Hausdorff measures and the general area and coarea formulas.

Keywords

Borel Measure Radon Measure Doubling Property Disjoint Family Coarea Formula 
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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.Scuola Normale SuperiorePisaItaly
  2. 2.Dipartimento di Sistemi e InformaticaUniversità di FirenzeFirenzeItaly

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