چکیده (انگلیسی):

In this paper we prove sharp L∞–L∞–L∞decay for certain trilinear oscillatory integral forms of convolution type on R2. These estimates imply earlier L2–L2–L2results 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.