## Local estimates and global continuities in Lebesgue spaces for bilinear operators

##### Authors
Bernicot, Frederic
##### Description
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.
Comment: 37 pages
##### Keywords
Mathematics - Functional Analysis, Mathematics - Classical Analysis and ODEs