Restriction results for multilinear multipliers on weighted settings
Salvador Rodr\'iguez-L\'opez
TL;DR
This paper extends restriction theorems to multilinear Fourier multipliers on weighted Lebesgue spaces, providing new weighted periodic results for various classes of multilinear multipliers.
Contribution
It introduces restriction results of K. de Leeuw's type for multilinear multipliers in weighted settings, including applications to Coifman-Meyer and H"ormander classes.
Findings
Established restriction results for multilinear Fourier multipliers on weighted spaces.
Derived periodic weighted results for specific classes of multilinear multipliers.
Extended classical restriction theorems to a multilinear, weighted context.
Abstract
We obtain restriction results of K. de Leeuw's type for maximal operators defined through multilinear Fourier multipliers of either strong or weak type acting on weighted Lebesgue spaces. We give some application of our development. In particular we obtain periodic weighted results for Coifman-Meyer, H\"ormander and H\"ormander-Mihlin type multilinear multipliers.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.