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

Heinz König

Abstract

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.

Author information

Contact details are reproduced from the original publication and may be historical.

Heinz König

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

hkoenig@math.uni-sb.de

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

Mathematics Subject Classification

28A20, 28A25, 28A35

Suggested citation

H. König. “Fubini-Tonelli Theorems on the Basis of Inner and Outer Premeasures.” Journal of Convex Analysis 16 (2009), No. 3&4, 827–844.