Boundedness of the square function and rectifiability
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Publication:841289
DOI10.1016/j.crma.2009.07.007zbMath1185.28009arXiv0906.2664OpenAlexW2121164265MaRDI QIDQ841289
Alexander Volberg, Svitlana Mayboroda
Publication date: 15 September 2009
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0906.2664
Related Items (8)
Operator-valued dyadic shifts and the \(T(1)\) theorem ⋮ Wasserstein distance and the rectifiability of doubling measures. I ⋮ Cones, rectifiability, and singular integral operators ⋮ THE LOCAL NON-HOMOGENEOUS Tb THEOREM FOR VECTOR-VALUED FUNCTIONS ⋮ A square function involving the center of mass and rectifiability ⋮ Calderón-Zygmund capacities and Wolff potentials on Cantor sets ⋮ The measures with an associated square function operator bounded in \(L^2\) ⋮ A new approach to non-homogeneous local \(Tb\) theorems
Cites Work
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- Principal values for Riesz transforms and rectifiability
- THE LOCAL NON-HOMOGENEOUS Tb THEOREM FOR VECTOR-VALUED FUNCTIONS
- Uniform rectifiability, Calderón-Zygmund operators with odd kernel, and quasiorthogonality
- Principal values for the Cauchy integral and rectifiability
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