scientific article; zbMATH DE number 2207672

DOI10.1155/S107379280413033XzbMath1082.31002MaRDI QIDQ5693315

Laura Prat

Publication date: 24 September 2005

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

capacityHausdorff measureAhlfors-David regular setRiesz kernels

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Hausdorff and packing measures (28A78) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items

Quasiconformal maps, analytic capacity, and non linear potentials ⋮ Reflectionless measures for Calderón-Zygmund operators. I: General theory ⋮ The precise representative for the gradient of the Riesz potential of a finite measure ⋮ Calderón-Zygmund capacities and Wolff potentials on Cantor sets ⋮ Principal values for the signed Riesz kernels of non-integer dimension ⋮ Some Calderón-Zygmund kernels and their relations to Wolff capacities and rectifiability ⋮ On the Maximum Principle for the Riesz Transform ⋮ Reflectionless measures for Calderón-Zygmund operators. II: Wolff potentials and rectifiability ⋮ Symmetrization of a Cauchy-like kernel on curves ⋮ Riesz transforms of non-integer homogeneity on uniformly disconnected sets ⋮ The \(s\)-Riesz transform of an \(s\)-dimensional measure in \(\mathbb R^2\) is unbounded for \(1<s<2\) ⋮ Finite square function implies integer dimension ⋮ On the semiadditivity of the capacities associated with signed vector valued Riesz kernels