Some Weighted Estimates for Multilinear Fourier Multiplier Operators

被引：0
|
作者：
Si, Zengyan [1 ]
机构：
[1] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2013年
关键词：
INEQUALITIES; SMOOTHNESS;
D O I：
10.1155/2013/987205
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We first provide a weighted Fourier multiplier theorem for multilinear operators which extends Theorem 1.2 in Fujita and Tomita (2012) by using L-r-based Sobolev spaces (1 < r <= 2). Then, by using a different method, we obtain a result parallel to Theorem 6.2 which is an improvement of Theorem 1.2 under assumption (i) in Fujita and Tomita (2012).
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页数：10
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