Table of Contents: :: Library Catalog

Cover Image

Saved in:

Bibliographic Details
Main Authors:	Chen, Jiao, Hsu, Martin, Lin, Fred Yu-Hsiang
Format:	Preprint
Published:	2024
Subjects:	Classical Analysis and ODEs
Online Access:	https://arxiv.org/abs/2403.04721
Tags:	Add Tag No Tags, Be the first to tag this record!

Table of Contents:

This paper studies the $L^{p}$ boundedness of bilinear Fourier multipliers in the local $L^{2}$ range. We assume a Hörmander condition relative to a singular set that is a finite union of Lipschitz curves. The Hörmander condition is sharp with respect to the Sobolev exponent. Our setup generalizes the non-degenerate bilinear Hilbert transform but avoids issues of uniform bounds near degeneracy.