Infinite variation and derivatives in \(R^m\)

DOI10.1006/JMAA.1998.5982zbMath0927.28001OpenAlexW1979678727MaRDI QIDQ1269686

Benedetto Bongiorno, David Preiss, Luisa Di Piazza

Publication date: 28 November 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1998.5982

zbMATH Keywords

Radon measureabsolute continuitychargesvariationgage integralupper derivativeVitali family

Mathematics Subject Classification ID

Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Abstract differentiation theory, differentiation of set functions (28A15)

Related Items (7)

The Ward property for a \(\mathcal P\)-adic basis and the \(\mathcal P\)-adic integral. ⋮ Homology of Normal Chains and Cohomology of Charges ⋮ Variational measures related to local systems and the Ward property of $$\mathcal{P}$$ -adic path bases ⋮ Variational Measures in the Theory of the Integration in ℝ m ⋮ On dyadic integrals and some other integrals associated with local systems ⋮ On variational measures related to some bases ⋮ On the minimal solution of the problem of primitives

Cites Work

• On absolute continuity
• A new full descriptive characterization of Denjoy-Perron integral
• Derivates of interval functions
• Variations of additive functions
• A Full Descriptive Definition of the Gage Integral
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