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.

Copyright Banach Press 2009