An Elementary Result on Exponential Measure Spaces
Canadian mathematical bulletin, Tome 15 (1972) no. 2, pp. 277-278
Voir la notice de l'article provenant de la source Cambridge University Press
A simple but useful result in the measure theory for product spaces can be stated as follows:Theorem A. A necessary and sufficient condition that a measurable subset E of X×Y has measure zero is that almost every X-section (or almost every Y-section) has measure zero (see [1, §36]).We will show, in this short note, that a similar result also holds for the exponential of measure spaces. Before proceeding any further, we describe briefly here the exponential construction of a measure space.
Shen, C. Y. An Elementary Result on Exponential Measure Spaces. Canadian mathematical bulletin, Tome 15 (1972) no. 2, pp. 277-278. doi: 10.4153/CMB-1972-049-3
@article{10_4153_CMB_1972_049_3,
author = {Shen, C. Y.},
title = {An {Elementary} {Result} on {Exponential} {Measure} {Spaces}},
journal = {Canadian mathematical bulletin},
pages = {277--278},
year = {1972},
volume = {15},
number = {2},
doi = {10.4153/CMB-1972-049-3},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1972-049-3/}
}
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