Let (X,Σ)(X,\Sigma)(X,Σ) be a measurable space and let μ\muμ and ν\nuν be two measures on (X,Σ)(X,\Sigma)(X,Σ). Then μ\muμ is absolutely continuous with respect to ν\nuν if μ(A)=0\mu(A) =0μ(A)=0 for every A∈ΣA\in \SigmaA∈Σ for which ν(A)=0\nu(A)=0ν(A)=0.
Wikidata ID: Q20827138