Boundedness of pseudo-differential operators on Hormander spaces

被引：0
|
作者：
Iancu, GM [1 ]
机构：
[1] York Univ, Dept Math & Stat, N York, ON M3J 1P3, Canada
来源：
DIRECT AND INVERSE PROBLEMS OF MATHEMATICAL PHYSICS | 2000年 / 5卷
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D O I：
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中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove the boundedness of a class of pseudo-differential operators on the Hormander spaces (H) over dot (0,p), 1 < p < infinity. Examples are given to show that the classical pseudo-differential operators fail to be bounded on these spaces. Fourier integral operators and their global mapping properties are studied in this setting. Applications to the regularity of solutions of semilinear pseudodifferential equations on R-n are presented.
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页码：137 / 147
页数：11
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