arXiv:2208.07920 Abstract | arXiv Analytics

arXiv:2208.07920 [math.CA]Abstract References Reviews Resources

Reinforcing a Philosophy: Littlewood-Paley theory for the moment curve

Published 2022-08-16Version 1

Using the Girard-Newton formulae, I give a simple proof of isotropic square function estimates for extension operators along the moment curve in generic local fields. Using Bezout's Theorem and the Implicit Function Theorem, I give an alternate, sharper proof for real or complex non-degenerate, polynomial curves.

Comments: 8 pages, related to arXiv:1906.05877, arXiv:2201.09649 and arXiv:2203.13644, comments welcome :)

Categories: math.CA, math.NT

Subjects: 42B20, 42B25, 11D45, 11D88

Keywords: moment curve, littlewood-paley theory, isotropic square function estimates, philosophy, generic local fields

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arXiv:2203.13644 [math.CA] (Published 2022-03-25)

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