On -Boundedness of Pseudo-Differential Operators of Sjostrand's Class

被引：0
|
作者：
Cunanan, Jayson [1 ,2 ]
机构：
[1] Nagoya Univ, Grad Sch Math, Chikusa Ku, Furocho, Nagoya, Aichi 4648602, Japan
[2] Shinshu Univ, Fac Sci, Dept Math Sci, Asahi 3-1-1, Matsumoto, Nagano 3908621, Japan
来源：
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 2017年 / 23卷 / 04期
关键词：
Pseudo-differential operators; Modulation spaces; Wiener amalgam spaces; MODULATION SPACES;
D O I：
10.1007/s00041-016-9490-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We extended the known result that symbols from modulation spaces , also known as the Sjostrand's class, produce bounded operators in , to general boundedness at the cost of loss of derivatives. Indeed, we showed that pseudo-differential operators acting from -Sobolev spaces to spaces with symbols from the modulation space are bounded, whenever This estimate is sharp for all infinity.
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页码：810 / 816
页数：7
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