Algebra generated by a.e. continuous derivatives of interval functions (Q1322622)
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scientific article; zbMATH DE number 563379
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Algebra generated by a.e. continuous derivatives of interval functions |
scientific article; zbMATH DE number 563379 |
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Algebra generated by a.e. continuous derivatives of interval functions (English)
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5 March 1995
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It is proved that every almost everywhere continuous Baire 1 function \(u: \mathbb{R}^ m\to \mathbb{R}\) can be written as \(u= fg+ h\), where \(f\), \(g\), \(h\) are a.e. derivatives with respect to the ordinary differentiation basis.
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derivatives of set functions
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Baire 1 function
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ordinary differentiation basis
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0.9495612382888794
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0.8653627634048462
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0.8479957580566406
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0.8469576239585876
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