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Harmonic measures for elliptic operators of nondivergence form

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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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Authors and Affiliations

  1. Department of Mathematics, University of Illinois, 1409 West Green St., 61801, Urbana, IL, USA

    Jang-Mei Wu

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  1. Jang-Mei Wu
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Partially supported by the National Science Foundation

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Wu, JM. Harmonic measures for elliptic operators of nondivergence form. Potential Anal 5, 45–59 (1996). https://doi.org/10.1007/BF00276696

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  • DOI: https://doi.org/10.1007/BF00276696

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