The Riesz kernels do not give rise to higher dimensional analogues of the Menger-Melnikov curvature
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Publication:1301339
DOI10.5565/PUBLMAT_43199_11zbMath0936.42010OpenAlexW2134041551MaRDI QIDQ1301339
Publication date: 8 May 2000
Published in: Publicacions Matemàtiques (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/41360
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Capacity and harmonic measure in the complex plane (30C85) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)
Related Items (7)
High-dimensional Menger-type curvatures. II: \(d\)-separation and a menagerie of curvatures ⋮ Principal values for Riesz transforms and rectifiability ⋮ Capacities associated with Calderón-Zygmund kernels ⋮ The Riesz Transform of Codimension Smaller Than One and the Wolff Energy ⋮ Characterizations of countably \(n\)-rectifiable Radon measures by higher-dimensional Menger curvatures ⋮ Menger curvatures and \(C^{1,\alpha}\) rectifiability of measures ⋮ The fractional Riesz transform and an exponential potential
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