Harmonic measures for elliptic operators of nondivergence form (Q1908915)
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scientific article; zbMATH DE number 852866
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Harmonic measures for elliptic operators of nondivergence form |
scientific article; zbMATH DE number 852866 |
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Harmonic measures for elliptic operators of nondivergence form (English)
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16 September 1996
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The following theorem is proved: For each \(\alpha\) in \((n - 2, n - 1]\), there exists a uniformly elliptic operator of nondivergence form in \(\mathbb{R}^n_+\) such that the support of its harmonic measure lies on a set of Hausdorff dimension \(\leq \alpha\).
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uniformly elliptic operator of nondivergence form
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harmonic measure
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Hausdorff dimension
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