Abstract
Given any α in (n - 2, n - 1], there exists a uniformly elliptic operator of nondivergence form in the upper half space ℝ+n, so that the corresponding harmonic measure is supported on a set of Hausdorff dimension at most α.
Original language | English (US) |
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Pages (from-to) | 45-59 |
Number of pages | 15 |
Journal | Potential Analysis |
Volume | 5 |
Issue number | 1 |
DOIs | |
State | Published - Jan 1 1996 |
Keywords
- Elliptic operator of nondivergence form
- Harmonic measure
- Hausdorff dimension
ASJC Scopus subject areas
- Analysis