A weak \(L^2\) estimate for a maximal dyadic sum operator on \(\mathbb R^n\)

zbMath1040.42014arXivmath/0211363MaRDI QIDQ1409653

Malabika Pramanik, Erin Terwilleger

Publication date: 16 October 2003

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0211363

zbMATH Keywords

Hilbert transformtime-frequency analysisCarleson's theoremCalderón-Zygmund operatormaximal conjugatemaximal dyadic sum operatorSjölin's theoremweak \(L^2\) estimate

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

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The polynomial Carleson operator ⋮ Maximal polynomial modulations of singular Radon transforms ⋮ Oscillation inequalities in ergodic theory and analysis: one-parameter and multi-parameter perspectives ⋮ A Wiener-Wintner theorem for the Hilbert transform ⋮ Maximal operator for pseudodifferential operators with homogeneous symbols ⋮ Maximal polynomial modulations of singular integrals ⋮ Bounds for anisotropic Carleson operators

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