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#vitali_convergence_theorem

Vitali convergence theorem

In real analysis and measure theory, the Vitali convergence theorem, named after the Italian mathematician Giuseppe Vitali, is a generalization of the better-known dominated convergence theorem of Henri Lebesgue. It is a characterization of the convergence in Lp in terms of convergence in measure and a condition related to uniform integrability.

Thu 9th

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Vitali convergence theorem Dominated convergence theorem Vitali theorem Giuseppe Vitali Uniform integrability Interchange of limiting operations List of theorems Carathéodory's theorem Vitali covering lemma Vitali–Hahn–Saks theorem
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