Characterizations of \(AC^*G\cap {\mathcal C}\), \(\underline{AC}^*G\cap {\mathcal C}_ i\), \(AC\) and \(\underline{AC}\) functions (Q1332587)
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scientific article; zbMATH DE number 627512
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Characterizations of \(AC^*G\cap {\mathcal C}\), \(\underline{AC}^*G\cap {\mathcal C}_ i\), \(AC\) and \(\underline{AC}\) functions |
scientific article; zbMATH DE number 627512 |
Statements
Characterizations of \(AC^*G\cap {\mathcal C}\), \(\underline{AC}^*G\cap {\mathcal C}_ i\), \(AC\) and \(\underline{AC}\) functions (English)
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13 October 1994
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Generalized absolutely continuous functions (ACG), functions of generalized bounded variation (VBG), and functions satisfying the strong Lusin condition were studied in the paper. The author defined various versions of such functions and considered their relations. For classical definitions of ACG and VBG, see \textit{S. Saks} [Theory of the integral (1937; Zbl 0017.30004)] and for strong Lusin, see the reviewer [Real Anal. Exch. 15, No. 2, 754-759 (1990; Zbl 0716.26004)].
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absolutely continuous functions
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functions of generalized bounded variation
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strong Lusin condition
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