On a problem of Zygmund (Q1966258)
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scientific article; zbMATH DE number 1407584
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a problem of Zygmund |
scientific article; zbMATH DE number 1407584 |
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On a problem of Zygmund (English)
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28 February 2000
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The author proves an interesting result in connection with a problem of Zygmund on the strong differentiability of integrals. His theorem reads as follows: There exists an integrable function on \([0,1]^2\) whose integral is nondifferentiable in each direction belonging to a set everywhere dense in \([0,2\pi]\) but is strongly differentiable.
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problem of Zygmund
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strong differentiability of integrals
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