A type 2 inequality for functions of bounded variation (Q1098475)
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scientific article; zbMATH DE number 4038887
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A type 2 inequality for functions of bounded variation |
scientific article; zbMATH DE number 4038887 |
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A type 2 inequality for functions of bounded variation (English)
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1988
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It is proved that the identity map from the functions of bounded variation of \({\mathbb{R}}^ k\) with the total variation norm to the same set of functions with the sup norm is of type 2. As the author says, ``since obtaining Theorem 1, the author has learned that an elegant and more general result has recently been obtained by \textit{G. Pisier}, Ann. Inst. Henri Poincaré, Probab. Stat. 20, 287-298 (1984; Zbl 0555.60005).
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functions of bounded variation
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total variation norm
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