Kurzweil-Henstock Integral in Riesz spaces

Indexed in: Scopus, EBSCO.

This Ebook is concerned with both the theory of the Kurzweil-Henstock integral and the basic facts on Riesz spaces. Moreover, even the so-called Šipoš integral, which has several applications in ...
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Double Integrals

Pp. 52-61 (10)

Antonio Boccuto, Beloslav Riecan and Marta Vrabelova

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.