Harmonic measures for elliptic operators of nondivergence form
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 \(\leq \alpha\).
uniformly elliptic operator of nondivergence form
scientific article; zbMATH DE number 852866
scientific article