Lusin's theorem (Q807762)
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scientific article; zbMATH DE number 4208431
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lusin's theorem |
scientific article; zbMATH DE number 4208431 |
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Lusin's theorem (English)
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1991
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The paper has a survey character. It deals with the well-known Lusin's theorem for measurable functions and with some of its consequences. The author discusses Lusin type theorems for one-one mappings, for the class of absolutely continuous functions, for the functions of bounded variation and for the continuous functions of bounded variation. It is also shown that Lusin type theorems hold for Sobolev spaces.
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approximately continuous functions
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survey
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Lusin's theorem
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measurable functions
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Lusin type theorems
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absolutely continuous functions
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functions of bounded variation
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Sobolev spaces
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