Measures and Integration

  • Mariano Giaquinta
  • Giuseppe Modica


In this chapter we deal with the construction and the properties of Lebesgue measure and Lebesgue integral and, more generally, with the abstract measure and integration theory, providing proofs and details that we avoided in Chapter 2 of [GM4].


Pairwise Disjoint Outer Measure Nondecreasing Sequence Nonnegative Measurable Function Lebesgue Outer Measure 
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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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