We prove some existence theorems for the Fubini-Tonelli integral in the Weierstrass sense (with respect to Vinti's "intermediate" setting) along CBV Curves, and for a class of separately convex functions satisfying assumptions weaker than those taken into account by other authors: for this larger class we prove that the associated function verifies the hypotheses of a new integrability theorem.
L'integrale di Fubini-Tonelli alla Weierstrass-Burkill lungo coppie di curve continue
MARTELLOTTI, Anna
1986
Abstract
We prove some existence theorems for the Fubini-Tonelli integral in the Weierstrass sense (with respect to Vinti's "intermediate" setting) along CBV Curves, and for a class of separately convex functions satisfying assumptions weaker than those taken into account by other authors: for this larger class we prove that the associated function verifies the hypotheses of a new integrability theorem.File in questo prodotto:
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