KnowraLebesgue decomposition theoremLinked fromLinked fromThe 3 pages that link to Lebesgue decomposition theorem, each with the reason it gives.All 3Related 1Narrower topic 1Compared with 1Radon–Nikodym theoremNarrower topic: It extends the theorem’s setting by retaining a singular part when absolute continuity fails.Hahn decomposition theoremCompared with: Its criterion is absolute continuity, not whether subsets have positive or negative measure.F. and M. Riesz theoremRelated: The result rules out the singular part when the Fourier coefficients vanish on one side.