This article is cited in 8 papers

The Fubini's theorem for vector-valued measures

A. V. Uglanov

P. G. Demidov Yaroslavl State University

Abstract: 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.

UDC: 517.987.1

MSC: 28B05

Received: 17.07.1988

 English version: Mathematics of the USSR-Sbornik, 1991, 69:2, 453–463

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