Harmonic measures for elliptic operators of nondivergence form

Jang Mei Wu

doi:10.1007/BF00276696

Harmonic measures for elliptic operators of nondivergence form

Jang Mei Wu

Mathematics

Research output: Contribution to journal › Article

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)
Pages (from-to)	45-59
Number of pages	15
Journal	Potential Analysis
Volume	5
Issue number	1
DOIs	https://doi.org/10.1007/BF00276696
State	Published - Jan 1 1996

Keywords

Elliptic operator of nondivergence form
Harmonic measure
Hausdorff dimension

ASJC Scopus subject areas

Analysis

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10.1007/BF00276696

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title = "Harmonic measures for elliptic operators of nondivergence form",

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.",

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year = "1996",

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KW - Hausdorff dimension

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