Revista de Matemática: Teoría y Aplicaciones ISSN Impreso: 1409-2433 ISSN electrónico: 2215-3373

OAI: https://revistas.ucr.ac.cr/index.php/matematica/oai
On Fubini’s theorem for null sets in vector measures
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Keywords

vector measure
zero measure
product measure
Fubini’s theorem
medida vectorial
medida cero
medida producto
teorema de Fubini

How to Cite

Montilla, A. (2017). On Fubini’s theorem for null sets in vector measures. Revista De Matemática: Teoría Y Aplicaciones, 24(2), 227–238. https://doi.org/10.15517/rmta.v24i2.29859

Abstract

In this paper we prove a version of Fubini’s Theorem for null sets in the context of vector measures, in the spirit of the classical proof for sets in the Euclidean plane.

https://doi.org/10.15517/rmta.v24i2.29859
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References

Berberian, S.K. (1967) Measure and Integration, Van Nostrand, Nueva York, 1965.

Dinculeanu, N. (1967) Vector Measures. Pergamon Press, Nueva York.

Douwen, E.K. van (1989) “Fubini’s theorem for null sets”, Amer. Math. Monthly 96: 718–721.

Fubini, G. (1907) “Sugli integrali multipli”, Rend. Accad. Lincei, Roma 16(1): 608–614. Reprinted in: Fubini, G. (1958) Opere Scelte, Vol. 2. Edizioni Cremonese, Unione Matematica Italiana/CNR, Roma. pp. 243–249.

Halmos, P.R. (1974) Measure Theory. Springer-Verlag, Nueva York,

Johnson, R.A. (1966) “On product measures and Fubini’s theorem in locally compact spaces”, Trans. Amer. Math. Soc. 123: 112–129.

Lebesgue, H.L. (1904) Leçons sur l’Intégration et la Recherche des Fonctions Primitives. Gauthier-Villars, Paris.

Munkres, J.R. (2000) Topology. Prentice Hall, Upper Saddle River NJ.

Oxtoby, J.C. (1971) Measure and Category. Springer-Verlag, Nueva York.

Royden, H.L. (1988) Real Analysis, 3a edición. Macmillan Publishing Company, Nueva York.

Rudin, W. (1979) Análisis Real y Complejo. Editorial Alhambra, Madrid.

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