Algebra generated by derivatives (Q790266)
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scientific article; zbMATH DE number 3847687
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Algebra generated by derivatives |
scientific article; zbMATH DE number 3847687 |
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Algebra generated by derivatives (English)
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1983
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The following remarkable and deep result is proven: Whenever u:\(R\to R\) is a Baire 1 function there exist functions f, g, and h having a finite derivative everywhere such that \(u=f'+g'h'.\) Moreover, g' may be taken to be bounded and f' to be a Lebesgue function. Also if u is bounded f', g' and h' can be taken to be bounded.
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characterization of the algebra generated by derivatives
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Baire class 1 function
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Lebesgue function
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