Characterizations of some absolutely continuous additive set functions

DOI10.1007/BF02851267zbMath0128.27404MaRDI QIDQ2394661

William D. L. Appling

Publication date: 1963

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

zbMATH Keywords

differentiation and integration, measure theory

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Some Integral Characterizations of Absolute Continuity ⋮ min and max functions, Bochner-Radon-Nikodým approximations, and a representation characterization ⋮ Zero-one set functions and absolute continuity ⋮ Minimal closed sets and integral representations ⋮ A characterization theorem for the nearest point mappings of linear C- sets ⋮ A uniqueness characterization of absolute continuity ⋮ Set functions and an extremal problem in absolute continuity ⋮ Refinement-unbounded set functions and absolute continuity ⋮ A note on a nonlinear integral equation ⋮ An extended notion of refinement-unboundedness ⋮ Reversible subsets of certain linear transformations ⋮ Two inclusion theorems for real-valued summable set functions

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