A Radon-Nikodym theorem for capacities.

DOI10.1515/crll.1980.320.192zbMath0434.31004OpenAlexW46965519MaRDI QIDQ3872733

Siegfried Graf

Publication date: 1980

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002197944

zbMATH Keywords

measureconditions for a pair of capacitiesHahn-type decompositionRadon-Nikodym theorem for capacities

Mathematics Subject Classification ID

Potentials and capacities on other spaces (31C15)

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Approximation by Choquet integral operators ⋮ On the \(f\)-divergence for non-additive measures ⋮ Entropy for non-additive measures in continuous domains ⋮ Existence and uniqueness of solutions of differential equations with respect to non‐additive measures ⋮ A note on derivatives of functions with respect to fuzzy measures ⋮ On the \(f\)-divergence for discrete non-additive measures ⋮ Choquet expectation and Peng's \(g\)-expectation ⋮ Max-stable random sup-measures with comonotonic tail dependence ⋮ Conditional preferences and updating. ⋮ Nonadditive measures and nonlinear integrals —focusing on a theoretical aspect— ⋮ Random capacities and their distributions

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