Weighted restriction theorems for space curves

DOI10.1016/j.jmaa.2007.01.039zbMath1122.42002OpenAlexW2057056306MaRDI QIDQ996909

Sanghyuk Lee, Jong-Guk Bak, Jung Jin Lee

Publication date: 19 July 2007

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.2007.01.039

zbMATH Keywords

weighted norm inequalityoscillatory integral operatoramalgam spaceFourier restriction theorem

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Cites Work

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• Restrictions of Fourier transforms to curves
• Trigonometric sums in number theory and analysis. Transl. from the Russian
• Degenerate curves and harmonic analysis
• Weighted Norm Inequalities for the Fourier Transform
• A Note on Two Weight Function Conditions for a Fourier Transform Norm Inequality
• Fourier restriction theorems for curves with affine and Euclidean arclengths
• Amalgams of 𝐿^{𝑝} and 𝑙^{𝑞}
• Fourier restriction theorems for degenerate curves
• Harmonic Analysis on Amalgams of L^P and l^q
• Weighted Restriction for Curves
• Estimates for an oscillatory integral operator related to restriction to space curves

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