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Sharp \(L^p\) estimates for discrete second-order Riesz transforms

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Publication:460715
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DOI10.1016/j.crma.2014.03.022zbMath1302.43002OpenAlexW2754743141MaRDI QIDQ460715

Komla Domelevo, Stefanie Petermichl

Publication date: 14 October 2014

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2014.03.022



Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)


Related Items (2)

Various Sharp Estimates for Semi-discrete Riesz Transforms of the Second Order ⋮ Discrete harmonic analysis associated with ultraspherical expansions



Cites Work

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  • Dimension free estimates for discrete Riesz transforms on products of abelian groups
  • Some results in harmonic analysis in 𝐑ⁿ, for 𝐧→∞
  • A Sharp Inequality for Martingale Transforms and the Unconditional Basis Constant of a Monotone Basis in L p (0, 1)
  • Heating of the Ahlfors–Beurling operator, and estimates of its norm


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