L^2-bounded singular integrals on a purely unrectifiable set in R^d

DOI10.5186/aasfm.2021.4613zbMath1472.42022arXiv1912.11257OpenAlexW3175704197WikidataQ114019217 ScholiaQ114019217MaRDI QIDQ4958516

Laura Prat, Joan Mateu

Publication date: 14 September 2021

Published in: Annales Fennici Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.11257

zbMATH Keywords

singular integral operatorpurely unrectifiable setCantor type set\(T(1)\)-theorem

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Length, area, volume, other geometric measure theory (28A75)

Related Items (1)

The Huovinen transform and rectifiability of measures

Cites Work

• The Riesz transform, rectifiability, and removability for Lipschitz harmonic functions
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• On the problem of existence in principal value of a Calderón–Zygmund operator on a space of non‐homogeneous type
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