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.
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页码：3055 / 3061
页数：7
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