The Henstock variational measure, Baire functions and a problem of Henstock

DOI10.1216/rmjm/1181069626zbMath1099.26009OpenAlexW2080379649MaRDI QIDQ2495316

Tuo Yeong Lee

Publication date: 5 July 2006

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

Full work available at URL: https://doi.org/10.1216/rmjm/1181069626

zbMATH Keywords

Henstock-Kurzweil integralabsolute continuity

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Denjoy and Perron integrals, other special integrals (26A39) Functions of several variables (26B99)

Related Items (4)

Product variational measures and Fubini--Tonelli type theorems for the Henstock--Kurzweil integral ⋮ Gauges of Baire class one functions ⋮ On the Henstock-Kurzweil-Dunford and Kurzweil-Henstock-Pettis integrals ⋮ A measure-theoretic characterization of the Henstock-Kurzweil integral revisited

Cites Work

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• Nearly upper semicontinuous gauge functions in \({\mathbb{R}}^ m\)
• Some answers to a question of P. Bullen
• A new full descriptive characterization of Denjoy-Perron integral
• Generalized ordinary differential equations and continuous dependence on a parameter
• Definitions of Riemann Type of the Variational Integrals
• Variational Measures in the Theory of the Integration in ℝ m
• A Full Descriptive Definition of the Henstock–Kurzweil Integral in the Euclidean Space
• A descriptive definition of some multidimensional gauge integrals

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