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• W2900058039 startingPage "106889" @default.
• W2900058039 abstract "We prove $ell^{p}L^{p}$ decoupling inequalities for a class of moment manifolds. These inequalities imply optimal mean value estimates for multidimensional Weyl sums of the kind considered by Arkhipov, Chubarikov, and Karatsuba and by Parsell. In our proofs we take a new point of view on the Bourgain--Demeter--Guth induction on scales argument. This point of view substantially simplifies even the proof of $ell^{2}L^{p}$ decoupling for the moment curve." @default.
• W2900058039 created "2018-11-16" @default.
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• W2900058039 creator A5029215074 @default.
• W2900058039 date "2020-01-01" @default.
• W2900058039 modified "2023-10-14" @default.
• W2900058039 title "Decoupling for moment manifolds associated to Arkhipov–Chubarikov–Karatsuba systems" @default.
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• W2900058039 doi "https://doi.org/10.1016/j.aim.2019.106889" @default.
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