LOCAL ESTIMATES AND GLOBAL CONTINUITIES IN LEBESGUE SPACES FOR BILINEAR OPERATORS

被引：15

作者：

Bernicot, Frederic ^{[1
]}

机构：

[1] Univ Paris 11, Math Lab, F-91405 Orsay, France

来源：

ANALYSIS & PDE | 2008年 / 1卷 / 01期

关键词：

local estimate; multilinear operator; time-frequency analysis; off-diagonal estimate;

D O I：

10.2140/apde.2008.1.1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1 / 27

页数：27

共 28 条

[1]

BENYI A, 2007, ARXIV07100973

[2] Sobolev space estimates and symbolic calculus for bilinear pseudodifferential operators [J].