Kurzweil-Henstock Integral in Riesz spaces

Double Integrals

Author(s): Antonio Boccuto, Beloslav Riecan and Marta Vrabelova

Pp: 52-61 (10)

Doi: 10.2174/978160805003110901010052

* (Excluding Mailing and Handling)

Abstract

We introduce the theory of the double integrals for Riesz space-valued mappings, defined on a bounded subrectangle of the Euclidean plane, and prove some versions of the Fubini theorems. We deal also with some concepts of continuity for Riesz space-valued functions, related with these kinds of results.

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