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- W69957100 abstract "The n-dimensional Riesz transform of a measure μ in ℝ d is defined by the singular integral $$ int {frac{{x - y}} {{left| {x - y} right|^{n + 1} }}dmu (y),} x in mathbb{R}^d . $$ Let E ⊂ ℝ d with H n (E) > ∞, where H n stands for the n-dimensional Hausdorff measure. In this paper we survey some recent results and open problems about the relationship between the L 2 boundedness and existence of principal values for the Riesz transform of the measure H | and the rectifiability of E." @default.
- W69957100 created "2016-06-24" @default.
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- W69957100 date "2009-01-01" @default.
- W69957100 modified "2023-10-15" @default.
- W69957100 title "Riesz Transforms and Rectifiability" @default.
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- W69957100 doi "https://doi.org/10.1007/978-3-7643-9906-1_26" @default.
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