Special cases of power decay in multilinear oscillatory integrals

Dong Dong, Dominique Maldague, Dominick Villano

Type: Article

Publication Date: 2021-03-05

Citations: 0

DOI: https://doi.org/10.1080/00036811.2021.1895985

Abstract

We use tools from the multilinear oscillatory integral program developed by Christ, Li, Thiele, and Tao to treat special cases which are not covered by existing theory. Consideration of special cases leads to an extended class of examples for which λ-power decay holds.

Locations

arXiv (Cornell University) - View - PDF
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+ PDF Chat	A bilinear oscillatory integral along parabolas	2008	Dashan Fan Xiao-Chun Li
+ PDF Chat	Finite bounds for Hölder-Brascamp-Lieb multilinear inequalities	2010	Jonathan Bennett Anthony Carbery Michael Christ Terence Tao
+ PDF Chat	Simply nondegenerate multilinear oscillatory integral operators with smooth phase	2008	Michael Greenblatt
+	A new proof of Szemerédi's theorem	2001	W. T. Gowers
+ PDF Chat	On trilinear oscillatory integrals	2014	Michael Christ Diogo Oliveira e Silva
+	Maximal decay inequalities for trilinear oscillatory integrals of convolution type	2016	Philip T. Gressman Lechao Xiao
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