Harmonic measure on sets of codimension larger than one (Q524850)
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| Language | Label | Description | Also known as |
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| English | Harmonic measure on sets of codimension larger than one |
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Harmonic measure on sets of codimension larger than one (English)
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26 April 2017
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The authors introduce a new type of harmonic measure on \(d\)-dimensional sets in \(\mathbb{R}^n\) where \(d< n -1\). This harmonic measure is absolutely continuous with respect to the \(d\)-dimensional Hausdorff measure with a density that is a Muckenhoupt \(A_\infty\) weight. Moreover, it is associated with a degenerate PDE giving rise to a comprehensive elliptic theory.
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harmonic measure
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Hausdorff measure
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Ahlfors regular measure
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Lipschitz boundary
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