BOUNDEDNESS CRITERION FOR BILINEAR FOURIER MULTIPLIER OPERATORS

被引：9
|
作者：
Miyachi, Akihiko [1 ]
Tomita, Naohito [2 ]
机构：
[1] Tokyo Womans Christian Univ, Dept Math, Suginami Ku, Tokyo 1678585, Japan
[2] Osaka Univ, Dept Math, Toyonaka, Osaka 5600043, Japan
来源：
TOHOKU MATHEMATICAL JOURNAL | 2014年 / 66卷 / 01期
关键词：
Bilinear Fourier multipliers; Hormander multiplier theorem; Littlewood-Paley theory;
D O I：
10.2748/tmj/1396875662
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Bilinear Fourier multiplier operators corresponding to multipliers that are singular at the origin are considered. New criterions on such multipliers to assure the boundedness of the corresponding operators from L-P x L-q to L-r, 1/p + 1/q = 1/r, are given in the range 1 < p, q <= infinity, 2/3 < r < infinity.
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页码：55 / 76
页数：22
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