Abstract
In this chapter we discuss Lebesgue measurable sets, Lebesgue measurable functions, Lebesgue integration, and L p spaces. These spaces, equipped with appropriate norms, are significant examples of Banach spaces.
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- 1.
Henri Léon Lebesgue, French mathematician, 1875–1941.
- 2.
Beppo Levi, Italian mathematician, 1875–1961.
- 3.
Pierre Joseph Louis Fatou, French mathematician, 1878–1929.
- 4.
Otto Ludwig Hölder, German mathematician, 1859–1937.
References
Stein, E.M., Shakarchi, R.: Real Analysis. Measure Theory, Integration, and Hilbert Spaces. Princeton University Press, Princeton (2005)
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Moroşanu, G. (2019). The Lebesgue Integral and Lp Spaces. In: Functional Analysis for the Applied Sciences. Universitext. Springer, Cham. https://doi.org/10.1007/978-3-030-27153-4_3
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DOI: https://doi.org/10.1007/978-3-030-27153-4_3
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