Several types of interval functions are studied, in order to give sufficient conditions for the existence of the Burkill-Cesari integral. Our setting includes previous works on the same argument, and in some cases the earlier results are improved. Applications are tied to the Fubini-Tonelli integral, in the sense of Weierstrass; existence and representation formulas are shown for the latter, as well as a Tonelli-type theorem.
L'integrale di Burkill-Cesari su un rettangolo e applicazioni all'integrale di Fubini-Tonelli relativamente a coppie di curve continue
CANDELORO, Domenico;PUCCI, Patrizia
1980
Abstract
Several types of interval functions are studied, in order to give sufficient conditions for the existence of the Burkill-Cesari integral. Our setting includes previous works on the same argument, and in some cases the earlier results are improved. Applications are tied to the Fubini-Tonelli integral, in the sense of Weierstrass; existence and representation formulas are shown for the latter, as well as a Tonelli-type theorem.File in questo prodotto:
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