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The fubini theorems of stochastic measures

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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.

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Authors and Affiliations

  1. Beijing College of Commerce, China

    Jiang Tao

  2. Beijing College of Meteorology, China

    Xiong Zhengxin

  3. Institute of Applied Mathematics, Academic Sinica, China

    Chen Peide

Authors
  1. Jiang Tao
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  2. Xiong Zhengxin
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  3. Chen Peide
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Jiang, T., Xiong, Z. & Chen, P. The fubini theorems of stochastic measures. Acta Mathematicae Applicatae Sinica 4, 355–365 (1988). https://doi.org/10.1007/BF02007240

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  • DOI: https://doi.org/10.1007/BF02007240

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