Lusin’s theorem


Let A be a Lebesgue measurable subset of and f:A (or f:A). Then f is Lebesgue measurable (http://planetmath.org/MeasurableFunctions) if and only if f is almost continuousMathworldPlanetmathPlanetmath.

Title Lusin’s theorem
Canonical name LusinsTheorem
Date of creation 2013-03-22 16:13:48
Last modified on 2013-03-22 16:13:48
Owner Wkbj79 (1863)
Last modified by Wkbj79 (1863)
Numerical id 6
Author Wkbj79 (1863)
Entry type Theorem
Classification msc 28A20
Related topic MeasurableFunctions
Related topic AlmostContinuousFunction