On absolute continuity

DOI10.1006/JMAA.1997.5804zbMath0931.26005OpenAlexW1990545367MaRDI QIDQ1269050

Zoltán Buczolich, Washek F. Pfeffer

Publication date: 2 September 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.1997.5804

zbMATH Keywords

chargesgeneralized Riemann integralLebesgue integralvariation absolute continuity

Mathematics Subject Classification ID

Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Denjoy and Perron integrals, other special integrals (26A39)

Related Items (9)

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 ⋮ Infinite variation and derivatives in \(R^m\) ⋮ Absolutely continuous variational measures of Mawhin’s type ⋮ 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

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• The essential variation of a function and some convergence theorems
• Analyticity of Almost Everywhere Differentiable Functions
• Variations of additive functions
• Comparing variations of charges

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