Product variational measures and Fubini--Tonelli type theorems for the Henstock--Kurzweil integral

DOI10.1016/J.JMAA.2004.05.033zbMath1065.26013OpenAlexW2057933668MaRDI QIDQ1883448

Tuo Yeong Lee

Publication date: 12 October 2004

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.05.033

zbMATH Keywords

Fubini theoremHenstock-Kurzweil integralabsolute continuityproduct measureHenstock variational measure

Mathematics Subject Classification ID

Integration of real functions of several variables: length, area, volume (26B15) Denjoy and Perron integrals, other special integrals (26A39)

Related Items (5)

Product variational measures and Fubini-Tonelli type theorems for the Henstock-Kurzweil integral. II ⋮ Two convergence theorems for Henstock-Kurzweil integrals and their applications to multiple trigonometric series ⋮ A Riemann-type theorem for a Riemann-type integral ⋮ Bounded linear functionals on the space of Henstock-Kurzweil integrable functions ⋮ A measure-theoretic characterization of the Henstock-Kurzweil integral revisited

Cites Work

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• The space of Henstock integrable functions of two variables
• A Riemann type integration and the fundamental theorem of calculus
• On Henstock integrability in Euclidean spaces
• Henstock-Kurzweil Fourier transforms
• Multipliers for some non-absolute integrals in Euclidean spaces
• The Henstock variational measure, Baire functions and a problem of Henstock
• To the theory of multidimensional integral
• Variational Measures in the Theory of the Integration in ℝ m
• The Divergence Theorem
• A Full Descriptive Definition of the Henstock–Kurzweil Integral in the Euclidean Space
• A descriptive definition of some multidimensional gauge integrals
• Majorants in Variational Integration
• Tensor products of AC\(_*\) charges and AC Radon measures are not always AC\(_*\) charges

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