On the uniform rectifiability of AD-regular measures with bounded Riesz transform operator: the case of codimension 1

DOI10.1007/s11511-014-0120-7zbMath1311.28004arXiv1212.5229OpenAlexW2156444201MaRDI QIDQ483371

Xavier Tolsa, Alexander Volberg, F. L. Nazarov

Publication date: 17 December 2014

Published in: Acta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.5229

zbMATH Keywords

Alfors-David regular measure bilateral approximation by union of planes Carleson family David-Semmes lattice uniformly rectifiable measure

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Length, area, volume, other geometric measure theory (28A75)

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