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.
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© 2012 Springer Science+Business Media, LLC
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Giaquinta, M., Modica, G. (2012). Hausdorff and Radon Measures. In: Mathematical Analysis. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-8310-8_6
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DOI: https://doi.org/10.1007/978-0-8176-8310-8_6
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Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-8309-2
Online ISBN: 978-0-8176-8310-8
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