Martingale proof of the existence of Lebesgue points (Q913967)
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scientific article; zbMATH DE number 4148450
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Martingale proof of the existence of Lebesgue points |
scientific article; zbMATH DE number 4148450 |
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Martingale proof of the existence of Lebesgue points (English)
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1990
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The usual proof of the existence of Lebesgue points of a summable function is via Vitali's covering theorem or its modifications. In this paper it is shown an alternative proof which is based on Lévy's martingale convergence theorem.
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Lebesgue points
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summable function
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Lévy's martingale convergence theorem
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