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.

引用

页码：55 / 76

页数：22

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