Some Integral Characterizations of Absolute Continuity

DOI10.2307/2035230zbMath0146.07401OpenAlexW4242485816MaRDI QIDQ5523090

William D. L. Appling

Publication date: 1967

Full work available at URL: https://doi.org/10.2307/2035230

zbMATH Keywords

differentiation and integration, measure theory

Related Items (8)

Absolute Continuity Characterization Sets ⋮ An Isomorphism and Isometry Theorem for a Class of Linear Functionals ⋮ min and max functions, Bochner-Radon-Nikodým approximations, and a representation characterization ⋮ Zero-one set functions and absolute continuity ⋮ Constructive representations of certain closest approximations ⋮ Some continuity properties of upper and lower integral difference functionals ⋮ Two theorems on absolutely continuous set functions ⋮ Two inclusion theorems for real-valued summable set functions

Cites Work

• Interval functions and the Hellinger integral
• Characterizations of some absolutely continuous additive set functions
• Interval functions and absolute continuity
• A uniqueness characterization of absolute continuity

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