Abstract
This chapter is devoted to the context of set functions and corresponding point functions on R, a context so important that it deserves a treatment beyond the discussion of Lebesgue-Stieltjes measures in Chapter IV. The first topic will be the derivation of monotone functions, for which a covering lemma will be needed.
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© 1994 Springer Science+Business Media New York
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Doob, J.L. (1994). Measures and Functions of Bounded Variation on R. In: Measure Theory. Graduate Texts in Mathematics, vol 143. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0877-8_11
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DOI: https://doi.org/10.1007/978-1-4612-0877-8_11
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6931-1
Online ISBN: 978-1-4612-0877-8
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