The Lebesgue Integral
| Autor: | Vladimir I. Bogachev, Oleg G. Smolyanov |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Mathematics::Functional Analysis
Mathematical analysis Mathematics::Classical Analysis and ODEs Mathematics::General Topology Lebesgue's number lemma Riemann–Stieltjes integral Riemann integral Lebesgue integration Lebesgue–Stieltjes integration symbols.namesake Differentiation of integrals Fubini's theorem symbols Daniell integral Mathematics |
| Zdroj: | Real and Functional Analysis ISBN: 9783030382186 |
| DOI: | 10.1007/978-3-030-38219-3_3 |
| Popis: | In this chapter we study the Lebesgue integral and obtain fundamental results about passage to the limit under the integral sign and spaces of integrable functions. In addition, we prove very important theorems due to Radon and Nikodym and Fubini. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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