Authors
Philip T Gressman, Lechao Xiao
Publication date
2016/12/15
Journal
Journal of Functional Analysis
Volume
271
Issue
12
Pages
3695-3726
Publisher
Academic Press
Description
In this paper we prove sharp L∞–L∞–L∞ decay for certain trilinear oscillatory integral forms of convolution type on R 2. These estimates imply earlier L 2–L 2–L 2 results obtained by the second author as well as corresponding sharp, stable sublevel set estimates of the form studied by Christ [3] and Christ, Li, Tao, and Thiele [5]. New connections to the multilinear results of Phong, Stein, and Sturm [13] are also considered.
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