Fubini-Tonelli Theorems on the Basis of Inner and Outer Premeasures
Journal of convex analysis, Tome 16 (2009) no. 3, pp. 827-844
Voir la notice de l'article provenant de la source Heldermann Verlag
The present article obtains comprehensive Fubini-Tonelli type theorems on the basis of the author's work in measure and integration. The basic tools are the product theory and the complemental pairs of inner and outer premeasures.
Classification :
28A20, 28A25, 28A35
Mots-clés : Fubini and Tonelli type theorems, inner and outer premeasures, inner and outer envelopes of set functions, the Choquet integral, products of set functions, complemental pairs
Mots-clés : Fubini and Tonelli type theorems, inner and outer premeasures, inner and outer envelopes of set functions, the Choquet integral, products of set functions, complemental pairs
@article{JCA_2009_16_3_JCA_2009_16_3_a15,
author = {H. K\"onig},
title = {Fubini-Tonelli {Theorems} on the {Basis} of {Inner} and {Outer} {Premeasures}},
journal = {Journal of convex analysis},
pages = {827--844},
publisher = {mathdoc},
volume = {16},
number = {3},
year = {2009},
url = {http://geodesic.mathdoc.fr/item/JCA_2009_16_3_JCA_2009_16_3_a15/}
}
H. König. Fubini-Tonelli Theorems on the Basis of Inner and Outer Premeasures. Journal of convex analysis, Tome 16 (2009) no. 3, pp. 827-844. http://geodesic.mathdoc.fr/item/JCA_2009_16_3_JCA_2009_16_3_a15/