Local estimates and global continuities in Lebesgue spaces for bilinear operators
Functional Analysis
2008-02-08 v3 Classical Analysis and ODEs
Abstract
In this paper, we first prove some local estimates for bilinear operators (closely related to the bilinear Hilbert transform and similar singular operators) with truncated symbol. Such estimates, in accordance with the Heisenberg uncertainty principle correspond to a description of ``off-diagonal'' decay. In addition they allow us to prove global continuities in Lebesgue spaces for bilinear operators with spatial dependent symbol.
Keywords
Cite
@article{arxiv.0801.4088,
title = {Local estimates and global continuities in Lebesgue spaces for bilinear operators},
author = {Frederic Bernicot},
journal= {arXiv preprint arXiv:0801.4088},
year = {2008}
}
Comments
37 pages