singular measure

Two measures $\mu$ and $\nu$ in a measurable space $(\mathrm{\Omega },𝒜)$ are called singular if there exist two disjoint sets $A$ and $B$ in $𝒜$ such that $A\cup B=\mathrm{\Omega }$ and $\mu (B)=\nu (A)=0$. This is denoted by $\mu ⟂\nu$.

Title	singular measure
Canonical name	SingularMeasure
Date of creation	2013-03-22 13:26:26
Last modified on	2013-03-22 13:26:26
Owner	Koro (127)
Last modified by	Koro (127)
Numerical id	7
Author	Koro (127)
Entry type	Definition
Classification	msc 28A12
Defines	singular