Small cap decoupling inequalities: bilinear methods

DOI10.4171/RMI/1270zbMath1485.42031MaRDI QIDQ832428

Changkeun Oh

Publication date: 25 March 2022

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

zbMATH Keywords

small cap decouplings

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Related Items (1)

A sharp \(L^{10}\) decoupling for the twisted cubic

Cites Work

• The cubic case of the main conjecture in Vinogradov's mean value theorem
• Proof of the main conjecture in Vinogradov's mean value theorem for degrees higher than three
• Bounds on oscillatory integral operators based on multilinear estimates
• Decouplings for surfaces in \(\mathbb{R}^4\)
• Decouplings for curves and hypersurfaces with nonzero Gaussian curvature
• Small cap decouplings. With an appendix by D. R. Heath-Brown.
• Decoupling for moment manifolds associated to Arkhipov-Chubarikov-Karatsuba systems
• On a binary system of Prendiville: the cubic case
• The proof of the \(l^2\) decoupling conjecture
• Decoupling, exponential sums and the Riemann zeta function
• The Generalized Vandermonde Matrix
• L p regularity of averages over curves and bounds for associated maximal operators
• A bilinear proof of decoupling for the cubic moment curve
• Nested efficient congruencing and relatives of Vinogradov's mean value theorem

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