Measurement theory and integration : Measures defined by densities

Measures defined by densities
Measurement theory and integration

Author : Sylvie MÉLÉARD

Publication date: July 10, 2002 | Lire en français

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4. Measures defined by densities

Let $(E, A, m)$ be a measured space. For any measurable positive, real or complex integrable function f and any $A \in A$ , note :.

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Measures defined by densities

(1) - BREZIS (H.) - Analyse fonctionnelle, théorie et applications. - Masson (1983).
(2) - MALLIAVIN (P.) - Intégration et probabilités, analyse de Fourier et analyse spectrale. - Masson (1982).
(3) - MARLE (C.H.) - Mesures et probabilités. - Hermann (1974).

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