In this article we establish some conditions concerning the sections $f^y$ of a function $f:{\mathR}^2 \to {\mathR}$ having Lebesgue measurable sections $f_x$ which imply the measurability of $f$. The first condition is more general than condition ${\cal A}$ introduced in \cite{5}.
Publié le : 2002-05-14
Classification:
Quasicontinuity,
measurability,
section,
density topology,
function of two variables,
26B05,
26A15
@article{1150118732,
author = {Grande, Zbigniew},
title = {Quasicontinuity and measurability of functions of two variables.},
journal = {Real Anal. Exchange},
volume = {28},
number = {1},
year = {2002},
pages = { 7-14},
language = {en},
url = {http://dml.mathdoc.fr/item/1150118732}
}
Grande, Zbigniew. Quasicontinuity and measurability of functions of two variables.. Real Anal. Exchange, Tome 28 (2002) no. 1, pp. 7-14. http://gdmltest.u-ga.fr/item/1150118732/