Zero-one set functions and absolute continuity

DOI10.1216/RMJM/1181073154zbMath0699.28003OpenAlexW2030011607MaRDI QIDQ913005

William D. L. Appling

Publication date: 1990

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181073154

zbMATH Keywords

set function integraluniform absolute continuityabsolute continuity partitioningzero-one set functions

Mathematics Subject Classification ID

Real- or complex-valued set functions (28A10) Integration with respect to measures and other set functions (28A25)

Cites Work

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• Integrability and closest approximation representations
• Approximate Hahn decompositions, uniform absolute continuity and uniform integrability
• Constructive representations of certain closest approximations
• Strong additivity, absolute continuity, and compactness in spaces of measures
• Characterizations of some absolutely continuous additive set functions
• A uniqueness characterization of absolute continuity
• Continuity and set function summability
• Two inclusion theorems for real-valued summable set functions
• Some Integral Characterizations of Absolute Continuity
• Addendum to: Some Integral Characterizations of Absolute Continuity
• A decomposition of additive set functions

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