Geodesic
Adjoint classes of functions in the $H\sb 1$ sense
Czechoslovak Mathematical Journal, Tome 57 (2007) no. 2, pp. 505-522 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Using the concept of the $ {\mathrm H}_1$-integral, we consider a similarly defined Stieltjes integral. We prove a Riemann-Lebesgue type theorem for this integral and give examples of adjoint classes of functions.
Using the concept of the $ {\mathrm H}_1$-integral, we consider a similarly defined Stieltjes integral. We prove a Riemann-Lebesgue type theorem for this integral and give examples of adjoint classes of functions.
Classification : 26A39
Keywords: Stieltjes integral; Kurzweil integral; Henstock integral; ${\mathrm H}_1$-integral; Riemann-Lebesgue theorem; variational measure; adjoint classes 
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     author = {Sworowski, Piotr},
     title = {Adjoint classes of functions in the $H\sb 1$ sense},
     journal = {Czechoslovak Mathematical Journal},
     pages = {505--522},
     year = {2007},
     volume = {57},
     number = {2},
     mrnumber = {2337612},
     zbl = {1174.26310},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2007_57_2_a0/}
}
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Sworowski, Piotr. Adjoint classes of functions in the $H\sb 1$ sense. Czechoslovak Mathematical Journal, Tome 57 (2007) no. 2, pp. 505-522. http://geodesic.mathdoc.fr/item/CMJ_2007_57_2_a0/