Semicontinuous integrands as jointly measurable maps

Oriol Carbonell-Nicolau

Departmental Working Papers from Rutgers University, Department of Economics

Abstract: Suppose that (X,A) is a measurable space and Y is a metrizable, Souslin space. Let Au denote the universal completion of A. Given f : X x Y !R and x 2 X, let f (x,¢) be the lower semicontinuous hull of f (x,¢). If f is (Au ­B(Y),B(R))-measurable, then f is (Au ­B(Y),B(R))-measurable.

Keywords: lower semicontinuous hull; jointly measurable function; measurable projection theorem; normal integrand (search for similar items in EconPapers)
Pages: 4 pages
Date: 2015-10-06
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:rut:rutres:201512

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