Sharp estimates for trilinear oscillatory integrals and an algorithm of two-dimensional resolution of singularities
Lechao Xiao
University of Pennsylvania, Philadelphia, USA
![Sharp estimates for trilinear oscillatory integrals and an algorithm of two-dimensional resolution of singularities cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-rmi-volume-33-issue-1.png&w=3840&q=90)
Abstract
We obtain sharp estimates for certain trilinear oscillatory integrals, extending Phong and Stein’s seminal result to a trilinear setting. This result partially answers a question raised by Christ, Li, Tao and Thiele, concerning sharp estimates for certain multilinear oscillatory integrals. The method in this paper relies on a self-contained algorithm of resolution of singularities in , which may be of independent interest.
Cite this article
Lechao Xiao, Sharp estimates for trilinear oscillatory integrals and an algorithm of two-dimensional resolution of singularities. Rev. Mat. Iberoam. 33 (2017), no. 1, pp. 67–116
DOI 10.4171/RMI/928