A NOTE ON BI-LINEAR MULTIPLIERS

被引：1

作者：

Shrivastava, Saurabh ^{[1
]}

机构：

[1] Indian Inst Sci Educ & Res Bhopal, Dept Math, Bhopal 462066, India

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2015年 / 143卷 / 07期

关键词：

Fourier multipliers; Littlewood-Paley operators; bi-linear multipliers; transference methods; LITTLEWOOD-PALEY;

D O I：

10.1090/S0002-9939-2015-12679-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove that if chi(E) (xi - eta) -the indicator function of a measurable set E subset of R-d is a bi-linear multiplier symbol for exponents p, q, r satisfying the H " older's condition 1/p + 1/q = 1/r and exactly one of p, q, or r' = r/r-1 is less than 2, then E is equivalent to an open subset of R-d.

引用

页码：3055 / 3061

页数：7

共 8 条

[1]

Blasco O., 2005, INT J MATH MATH SCI, V2005, P545, DOI DOI 10.1155/IJMMS.2005.545

[2] ON LP MULTIPLIERS [J].