\(L^2\)-boundedness of gradients of single-layer potentials and uniform rectifiability (Q2037453)
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| Language | Label | Description | Also known as |
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| English | \(L^2\)-boundedness of gradients of single-layer potentials and uniform rectifiability |
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\(L^2\)-boundedness of gradients of single-layer potentials and uniform rectifiability (English)
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1 July 2021
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The paper mainly concerns the David-Semmes problem, which deals with the connection between the Riesz transform and rectifiability. The solution of the David-Semmes problem in codimension 1 is extended to operators defined by gradients of single-layer potentials. Applications address elliptic measures.
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David-Semmes problem
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uniform rectifiability
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gradient of single-layer potential
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elliptic measure
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rectifiability
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