A measure space is a measurable space possessing a nonnegative measure.
Examples of measure spaces include 
-dimensional Euclidean space
with Lebesgue measure and the unit interval with
Lebesgue measure (i.e., probability).
Measure Space
See also
Lebesgue Measure, Measurable SpaceExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Measure Space." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/MeasureSpace.html