Measure and Integral

Measure and Integral

An Introduction to Real Analysis, Second Edition

Wheeden, Richard L.

Taylor & Francis Ltd

10/2024

532

Mole

9781032918938

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Preliminaries. Functions of Bounded Variation and the Riemann-Stieltjes Integral. Lebesgue Measure and Outer Measure. Lebesgue Measurable Functions. The Lebesgue Integral. Repeated Integration. Differentiation. Lp Classes. Approximations of the Identity and Maximal Functions. Abstract Integration. Outer Measure and Measure. A Few Facts from Harmonic Analysis. The Fourier Transform. Fractional Integration. Weak Derivatives and Poincare-Sobolev Estimates.
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Abstract Integration;Bounded Variation;Differentiation;Fourier Transform;Fractional Integration;Harmonic Analysis;Identity Approximations;Lebesgue Integral;Lebesgue Measurable Functions;Lebesgue Measure;Lp Classes;Maximal Functions;Measure Theory;Outer Measure;Poincare-Sobolev Estimates;Real Analysis;Repeated Integration;Riemann-Stieltjes Integral;Weak Derivatives