Bilinear oscillatory Fourier multipliers
Classical Analysis and ODEs
2024-04-17 v1 Functional Analysis
Abstract
For bilinear Fourier multipliers that contain some oscillatory factors, boundedness of the operators between Lebesgue spaces is given including endpoint cases. Sharpness of the result is also considered.
Keywords
Cite
@article{arxiv.2404.10488,
title = {Bilinear oscillatory Fourier multipliers},
author = {Tomoya Kato and Akihiko Miyachi and Naoto Shida and Naohito Tomita},
journal= {arXiv preprint arXiv:2404.10488},
year = {2024}
}
Comments
27 pages, 1 figure