Arbeitspapier

Semicontinuous integrands as jointly measurable maps

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,xc) be the lower semicontinuous hull of f (x,xc). If f is (Au B(Y),B(R))-measurable, then f is (Au B(Y),B(R))-measurable.

Language
Englisch

Bibliographic citation
Series: Working Paper ; No. 2015-12

Classification
Wirtschaft
Multiple or Simultaneous Equation Models; Multiple Variables: General
Economic Education and Teaching of Economics: General
Subject
lower semicontinuous hull
jointly measurable function
measurable projection
theorem
normal integrand

Event
Geistige Schöpfung
(who)
Carbonell-Nicolau, Oriol
Event
Veröffentlichung
(who)
Rutgers University, Department of Economics
(where)
New Brunswick, NJ
(when)
2015

Handle
Last update
05.08.2025, 11:39 AM CEST

Data provider

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Object type

  • Arbeitspapier

Associated

  • Carbonell-Nicolau, Oriol
  • Rutgers University, Department of Economics

Time of origin

  • 2015

Other Objects (12)