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Journal of Convex Analysis 16 (2009), No. 3, 827--844
Copyright Heldermann Verlag 2009

Fubini-Tonelli Theorems on the Basis of Inner and Outer Premeasures

Heinz König
Universität des Saarlandes, Fakultät für Mathematik und Informatik, 66123 Saarbrücken, Germany

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.

Keywords: 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.

MSC: 28A20, 28A25, 28A35

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