On polynomial Carleson operators along quadratic hypersurfaces

DOI10.1007/S12220-024-01676-9zbMATH Open1547.42025MaRDI QIDQ6611133

Lillian Beatrix Pierce, Theresa C. Anderson, Dominique Maldague, Po-Lam Yung

Publication date: 26 September 2024

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

Radon transformoscillatory integralsvan der Corput estimatesquare functionCarleson operator

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Radon transform (44A12) Convergence of Fourier series and of inverse transforms (43A50)

Cites Work

• Title not available (Why is that?)
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• Uniform bounds for oscillatory and polynomial Carleson operators
• Strong variational and jump inequalities in harmonic analysis
• Problems in harmonic analysis related to curvature
• Pointwise convergence of Fourier series
• A unified approach to three themes in harmonic analysis. I \& II: I. The linear Hilbert transform and maximal operator along variable curves. II Carleson type operators in the presence of curvature

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