Geodesic
Bounded linear functionals on the space of Henstock-Kurzweil integrable functions
Czechoslovak Mathematical Journal, Tome 59 (2009) no. 4, pp. 1005-1017 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Applying a simple integration by parts formula for the Henstock-Kurzweil integral, we obtain a simple proof of the Riesz representation theorem for the space of Henstock-Kurzweil integrable functions. Consequently, we give sufficient conditions for the existence and equality of two iterated Henstock-Kurzweil integrals.
Applying a simple integration by parts formula for the Henstock-Kurzweil integral, we obtain a simple proof of the Riesz representation theorem for the space of Henstock-Kurzweil integrable functions. Consequently, we give sufficient conditions for the existence and equality of two iterated Henstock-Kurzweil integrals.
Classification : 26A39, 28A35, 46E30, 46E99
Keywords: Henstock-Kurzweil integral; bounded linear functional; bounded variation 
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     author = {Lee, Tuo-Yeong},
     title = {Bounded linear functionals on the space of {Henstock-Kurzweil} integrable functions},
     journal = {Czechoslovak Mathematical Journal},
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     year = {2009},
     volume = {59},
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     zbl = {1224.26026},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2009_59_4_a10/}
}
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Lee, Tuo-Yeong. Bounded linear functionals on the space of Henstock-Kurzweil integrable functions. Czechoslovak Mathematical Journal, Tome 59 (2009) no. 4, pp. 1005-1017. http://geodesic.mathdoc.fr/item/CMJ_2009_59_4_a10/