Services on Demand
Journal
Article
Indicators
- Cited by SciELO
- Access statistics
Related links
- Similars in SciELO
Share
Revista de Matemática Teoría y Aplicaciones
Print version ISSN 1409-2433
Abstract
MONTILLA, Armando. On fubini’s theorem for null sets in vector measures. Rev. Mat [online]. 2017, vol.24, n.2, pp.227-238. ISSN 1409-2433. http://dx.doi.org/10.15517/rmta.v24i2.29859.
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, namely: Let X and Y be locally compact Hausdorff topological spaces and let µ and νbe regular vector measures on the Baire σ-algebras B0(X) and B0(Y ), respectively. If A C X x Y , then | µ ( ν| (A) = 0 if and only if
| µ | ({x E X: Ax is not a null set}) = 0, where Ax = {y E Y: (x,y) E A}.
Keywords : vector measure; zero measure; product measure; Fubini’s theorem.