Sharp superlevel set estimates for small cap decouplings of the parabola

DOI10.4171/RMI/1393zbMath1518.42017arXiv2107.13139MaRDI QIDQ6172747

Lawrence Guth, Yuqiu Fu, Dominique Maldague

Publication date: 20 July 2023

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.13139

zbMATH Keywords

decoupling inequalitiessuperlevel set

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Multipliers for harmonic analysis in several variables (42B15)

Cites Work

• Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
• Decoupling inequalities and some mean-value theorems
• Incidence estimates for well spaced tubes
• Small cap decouplings. With an appendix by D. R. Heath-Brown.
• The proof of the \(l^2\) decoupling conjecture
• Decoupling, exponential sums and the Riemann zeta function
• The Kakeya Maximal Function and the Spherical Summation Multipliers
• Fourier Restriction, Decoupling, and Applications
• Improved decoupling for the parabola
• Unnamed Item

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