A descriptive definition of some multidimensional gauge integrals
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Publication:4864780
DOI10.21136/cmj.1995.128532zbMath0852.26010OpenAlexW1668256029MaRDI QIDQ4864780
Publication date: 25 February 1996
Full work available at URL: https://eudml.org/doc/31479
Denjoy and Perron integrals, other special integrals (26A39) Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.) (26B20)
Related Items (6)
Product variational measures and Fubini--Tonelli type theorems for the Henstock--Kurzweil integral ⋮ The Hake's theorem and variational measures ⋮ Two convergence theorems for Henstock-Kurzweil integrals and their applications to multiple trigonometric series ⋮ The Henstock variational measure, Baire functions and a problem of Henstock ⋮ Some Full Descriptive Characterizations of the Henstock-Kurzweil Integral in the Euclidean Space ⋮ A measure-theoretic characterization of the Henstock-Kurzweil integral revisited
Cites Work
- A Riemann type integration and the fundamental theorem of calculus
- Equiintegrability and controlled convergence of Perron-type integrable functions
- Differentiability and integrability in \(n\) dimensions with respect to \(\alpha\)-regular intervals
- Equivalent definitions of regular generalized Perron integral
- On Mawhin's approach to multiple nonabsolutely convergent integral
- A Characterization of Multi-Dimensional Perron Integrals and the Fundamental Theorem
- The Divergence Theorem
- GENERALIZED ABSOLUTELY CONTINUOUS INTERVAL FUNCTIONS AND MULTI-DIMENSIONAL PERRON INTEGRATION
- Every ${\rm M}\sb1$-integrable function is Pfeffer integrable
- Pfeffer integrability does not imply $M_1$-integrability
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