Hausdorff and Radon Measures

Mariano Giaquinta () and Giuseppe Modica ()
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Mariano Giaquinta: Scuola Normale Superiore
Giuseppe Modica: Università di Firenze, Dipartimento di Sistemi e Informatica

Chapter 6 in Mathematical Analysis, 2012, pp 339-393 from Springer

Abstract: 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 (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-8176-8310-8_6

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DOI: 10.1007/978-0-8176-8310-8_6

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