A short proof of ℓ2 decoupling for the moment curve
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Publication:5024335
DOI10.1353/ajm.2021.0048zbMath1493.11115arXiv1912.09798OpenAlexW4206541627MaRDI QIDQ5024335
Shaoming Guo, Zane Kun Li, Po-Lam Yung, Pavel Zorin-Kranich
Publication date: 31 January 2022
Published in: American Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.09798
Estimates on exponential sums (11L07) Maximal functions, Littlewood-Paley theory (42B25) Weyl sums (11L15)
Related Items (7)
Decoupling for fractal subsets of the parabola ⋮ Decoupling inequality for paraboloid under shell type restriction and its application to the periodic Zakharov system ⋮ Decoupling estimates in Fourier analysis ⋮ A decoupling interpretation of an old argument for Vinogradov's Mean Value Theorem ⋮ An introduction to decoupling and harmonic analysis over ℚ_{𝕡} ⋮ Sobolev improving for averages over curves in \(\mathbb{R}^4\) ⋮ Sharp smoothing properties of averages over curves
Cites Work
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- A study guide for the \(l^{2}\) decoupling theorem
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- The proof of the \(l^2\) decoupling conjecture
- The Generalized Vandermonde Matrix
- L p regularity of averages over curves and bounds for associated maximal operators
- A bilinear approach to the restriction and Kakeya conjectures
- A bilinear proof of decoupling for the cubic moment curve
- EFFECTIVE l 2 DECOUPLING FOR THE PARABOLA
- Fourier Restriction, Decoupling, and Applications
- Nested efficient congruencing and relatives of Vinogradov's mean value theorem
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