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The fubini theorems of stochastic measures

The fubini theorems of stochastic measures This paper discusses the existence of product measures of two specific kinds of stochastic measures, and expands the integrable classes from classes of real measurable functions to ones which consist of some Banach space valued mappings. With the help of this newly defined stochastic integral, which is called S. B. integral, we have proved three Fubini Theorems: Theorem 1.7, Theorem 1.8 and Theorem 2.7. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

The fubini theorems of stochastic measures

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References (5)

Publisher
Springer Journals
Copyright
Copyright © 1988 by Science Press, Beijing, China and Allerton Press, Inc., New York, U.S.A.
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/BF02007240
Publisher site
See Article on Publisher Site

Abstract

This paper discusses the existence of product measures of two specific kinds of stochastic measures, and expands the integrable classes from classes of real measurable functions to ones which consist of some Banach space valued mappings. With the help of this newly defined stochastic integral, which is called S. B. integral, we have proved three Fubini Theorems: Theorem 1.7, Theorem 1.8 and Theorem 2.7.

Journal

Acta Mathematicae Applicatae Sinica – Springer Journals

Published: Jul 13, 2005

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