Local smoothing for operators failing the cinematic curvature condition

DOI10.1016/J.JMAA.2005.12.007zbMath1140.42305OpenAlexW2063593758MaRDI QIDQ855653

David T. S. Kung

Publication date: 7 December 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.12.007

zbMATH Keywords

harmonic analysisaveraging operatorsFourier integral operators

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Constructive operator theory (47S30)

Related Items (3)

Local smoothing for operators failing the cinematic curvature condition ⋮ The circular maximal operator on Heisenberg radial functions ⋮ Maximal functions associated with nonisotropic dilations of hypersurfaces in \(\mathbb R^3\)

Cites Work

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• Averages in the plane over convex curves and maximal operators
• Local smoothing for operators failing the cinematic curvature condition
• Local smoothing type estimates on \(L^p\) for large \(p\)
• A bilinear approach to cone multipliers. I: Restriction estimates
• Fourier integral operators. I
• Local Smoothing of Fourier Integral Operators and Carleson-Sjolin Estimates

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