Abstract
Soit (T, #7B-F, μ) un espace fini de mesure nonatomique (X, II-II) un espace de Banach non separable, et V, I•I) un espace de Banach reflexif separable dont V' est le dual. Soit f:TxXxV→(−∞, −∞] une fonction #7B-F∞#7B-B(X×V) mesurable. On etudie l'integrale fonctionnelle associee I f :L X 1 × L V 1 →[−∞, +∞] definie par If(x,v)≡∫f(r,x,(t), v(t)μdt
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