Boundary values of harmonic gradients and differentiability of Zygmund and Weierstrass functions (Q461290)
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scientific article; zbMATH DE number 6353616
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Boundary values of harmonic gradients and differentiability of Zygmund and Weierstrass functions |
scientific article; zbMATH DE number 6353616 |
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Boundary values of harmonic gradients and differentiability of Zygmund and Weierstrass functions (English)
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10 October 2014
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Summary: We study differentiability properties of Zygmund functions and series of Weierstrass type in higher dimensions. While such functions may be nowhere differentiable, we show that, under appropriate assumptions, the set of points where the incremental quotients are bounded has maximal Hausdorff dimension.
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harmonic functions
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Zygmund class
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Weierstrass functions
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Hausdorff dimension
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0.9000836
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0.8978822
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0.89783317
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0.8959775
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0.89376074
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