Topological algebras of functions of bounded variation. I (Q915075)
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scientific article; zbMATH DE number 4151133
| Language | Label | Description | Also known as |
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| English | Topological algebras of functions of bounded variation. I |
scientific article; zbMATH DE number 4151133 |
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Topological algebras of functions of bounded variation. I (English)
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1989
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In the present article the authors extend results of \textit{L. Maligranda} and \textit{W. Orlicz} [Monatsh. Math. 104, 53-65 (1987; Zbl 0623.26009)] to real-valued functions defined on an s-dimensional interval \(I=\times^{s}_{i=1}[a_ i,b_ i]\subseteq {\mathbb{R}}^ s.\) They prove that the space of functions with generalized bounded variation is a commutative Fréchet algebra with respect to pointwise multiplication.
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Hardy-Krause variation
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the space of functions with generalized bounded variation is a commutative Fréchet algebra with respect to pointwise multiplication
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