The Fubini and Tonelli Theorems for Product Local Systems

Di Piazza, Luisa; Marraffa, Valeria

doi:10.1007/978-3-0346-0211-2_15

Luisa Di Piazza³⁹ &
Valeria Marraffa³⁹

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 201))

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Abstract

The notion of product local system and of the Kurzweil-Henstock type integral related to a product local system is introduced. The main result is a version of the Fubini and Tonelli theorems for product local systems.

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Authors and Affiliations

Department of Mathematics, University of Palermo, via Archirafi 34, I-90123, Palermo, Italy
Luisa Di Piazza & Valeria Marraffa

Authors

Luisa Di Piazza
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Valeria Marraffa
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Editors and Affiliations

Facultad de Matemáticas, Universidad de Sevilla, 41080, Sevilla, Spain
Guillermo P. Curbera
Fachbereich 6: Mathematik, Universität Siegen, 57068, Siegen, Germany
Gerd Mockenhaupt
Mathematisch-Geographische Fakultät, Katholische Universität Eichstätt-Ingolstadt, 85072, Eichstätt, Germany
Werner J. Ricker

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Di Piazza, L., Marraffa, V. (2009). The Fubini and Tonelli Theorems for Product Local Systems. In: Curbera, G.P., Mockenhaupt, G., Ricker, W.J. (eds) Vector Measures, Integration and Related Topics. Operator Theory: Advances and Applications, vol 201. Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0211-2_15

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DOI: https://doi.org/10.1007/978-3-0346-0211-2_15
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0346-0210-5
Online ISBN: 978-3-0346-0211-2
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