Some Full Descriptive Characterizations of the Henstock-Kurzweil Integral in the Euclidean Space

DOI10.1007/s10587-005-0050-9zbMath1081.26008OpenAlexW2053878845MaRDI QIDQ3366744

Tuo Yeong Lee

Publication date: 14 February 2006

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/30973

zbMATH Keywords

Henstock-Kurzweil integralgeneralized absolute 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 (1)

A measure-theoretic characterization of the Henstock-Kurzweil integral revisited

Cites Work

• The sharp Riesz-type definition for the Henstock-Kurzweil integral.
• Differentiability and integrability in \(n\) dimensions with respect to \(\alpha\)-regular intervals
• On Henstock integrability in Euclidean spaces
• The Radon-Nikodým theorem for the Henstock integral in the Euclidean space
• Henstock Integrable Functions are Lebesgue Integrable on a Portion
• A Characterization of Multi-Dimensional Perron Integrals and the Fundamental Theorem
• A Full Characterization of Multipliers for the Strong ?-Integral in the Euclidean Space
• A Full Descriptive Definition of the Henstock–Kurzweil Integral in the Euclidean Space
• Perron-type integration on $n$-dimensional intervals and its properties
• A descriptive definition of some multidimensional gauge integrals
• On a divisor problem related to the Epstein zeta-function
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