 Lp spaces (Chapter 7 of Measure Theory)

Online text: www.math.ucdavis.edu/~hunter/measure_theory/measure_notes_ch7.pdf

Cited passages: Hunter, Measure Theory, Definition 7.4: the L-infinity norm; Hunter, Measure Theory, Definitions 7.1 and 7.4: Lp spaces and norms; Hunter, Measure Theory, Definitions 7.1, 7.3–7.4: almost-everywhere equivalence and essential bounds; Hunter, Measure Theory, §7.4, Lemma 7.9, pp. 81–82, and Theorem 7.10, pp. 82–83: norm summability and completeness.