What book would you recommend me to read about measure theory and especially the following:
Measure and outer meansure, Borel sets, the outer Lebesgue measure. The Cantor set. Properties of Lebesgue measure (translation invariance, completeness, regularity, uniqueness). Steinhaus theorem, non-Lebesgue measurable sets. Measurable functions, integrable functions, convergence theorems. Elementary theory of Hilbert spaces. Complex measures, the Radon-Nikodym theorem. The maximal function Hardy-Littlewood. Differentiation of measures and functions. Product of measures. The Fubini theorem. Change of variable. Polar coordinates. Convolutions.