Geodesic
The Fubini's theorem for vector-valued measures
Sbornik. Mathematics, Tome 69 (1991) no. 2, pp. 453-463

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The situation is considered when either the transitional or initial measure is vector-valued (the other is, respectively, scalar-valued; thus the product measure is also vector-valued). The integrable function is vector-valued. In this situation two theorems of Fubini type are proved. 
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     author = {A. V. Uglanov},
     title = {The {Fubini's} theorem for vector-valued measures},
     journal = {Sbornik. Mathematics},
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     number = {2},
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     url = {http://geodesic.mathdoc.fr/item/SM_1991_69_2_a8/}
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A. V. Uglanov. The Fubini's theorem for vector-valued measures. Sbornik. Mathematics, Tome 69 (1991) no. 2, pp. 453-463. http://geodesic.mathdoc.fr/item/SM_1991_69_2_a8/