The space of Henstock integrable functions of two variables

DOI10.1155/S0161171288000043zbMath0662.26003OpenAlexW2033255712MaRDI QIDQ1113301

Krzysztof Ostaszewski

Publication date: 1988

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/46334

zbMATH Keywords

barrelled spaceAlexiewicz normHenstock-Kurzweil integralsmultidimensional extension of the Perron integral

Mathematics Subject Classification ID

Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Barrelled spaces, bornological spaces (46A08) Denjoy and Perron integrals, other special integrals (26A39)

Related Items (8)

Product variational measures and Fubini--Tonelli type theorems for the Henstock--Kurzweil integral ⋮ The double Fourier transform of non-Lebesgue integrable functions of bounded Hardy-Krause variation ⋮ Characterisation of multipliers for the double Henstock integrals ⋮ Solving Poisson equation by distributional HK-integral: prospects and limitations ⋮ A Full Characterization of Multipliers for the Strong ?-Integral in the Euclidean Space ⋮ Bounded linear functionals on the space of Henstock-Kurzweil integrable functions ⋮ The continuous primitive integral in the plane ⋮ Natural ultrabornological, non-complete, normed function spaces

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