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Fubini theorem w.r.t. stochastic measure on product measurable space

Fubini theorem w.r.t. stochastic measure on product measurable space Using the new results about the existence of product S.M.[1], we get two forms of Fubini theorem about product S.M. on product measurable space in §1–§2. On being restricted to the special case of S.M. (I), the conditions needed are much weaker than those of [2] and couldn't be improved anymore. In the rest of this paper, we discuss how to calculate double integration w.r.t. non-product type S.M. on product space by iterated integration. Even in the case of classical measure theory, the problem hasn't been thoroughly solved yet. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Fubini theorem w.r.t. stochastic measure on product measurable space

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References (3)

Publisher
Springer Journals
Copyright
Copyright © 1994 by Science Press
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/BF02016324
Publisher site
See Article on Publisher Site

Abstract

Using the new results about the existence of product S.M.[1], we get two forms of Fubini theorem about product S.M. on product measurable space in §1–§2. On being restricted to the special case of S.M. (I), the conditions needed are much weaker than those of [2] and couldn't be improved anymore. In the rest of this paper, we discuss how to calculate double integration w.r.t. non-product type S.M. on product space by iterated integration. Even in the case of classical measure theory, the problem hasn't been thoroughly solved yet.

Journal

Acta Mathematicae Applicatae Sinica – Springer Journals

Published: Jul 15, 2005

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