Failure of \(L^2\) boundedness of gradients of single layer potentials for measures with zero low density

DOI10.1007/s00208-018-1729-1zbMath1414.35007arXiv1801.08453OpenAlexW2962826052MaRDI QIDQ1741820

José M. Conde-Alonso, Xavier Tolsa, Mihalis Mourgoglou

Publication date: 7 May 2019

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.08453

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Fundamental solutions to PDEs (35A08) General integral transforms (44A05) Green's functions for elliptic equations (35J08)

Related Items (5)

Cones, rectifiability, and singular integral operators ⋮ \(L^2\)-boundedness of gradients of single layer potentials for elliptic operators with coefficients of Dini mean oscillation-type ⋮ Unboundedness of potential dependent Riesz transforms for totally irregular measures ⋮ \(L^2\)-boundedness of gradients of single-layer potentials and uniform rectifiability ⋮ Gradient of the single layer potential and quantitative rectifiability for general Radon measures

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