Pseudodifferential Operators on Local Hardy Spaces

被引：0
|
作者：
J. Hounie
Rafael Augusto dos Santos Kapp
机构：
[1] Universidad Federal de São Carlos,Departamento de Matemática
来源：
Journal of Fourier Analysis and Applications | 2009年 / 15卷
关键词：
Pseudodifferential operators; Hardy spaces; Local solvability; 35S05; 42B30; 35F20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this work, we study the continuity of pseudodifferential operators on local Hardy spaces hp(ℝn) and generalize the results due to Goldberg and Taylor by showing that operators with symbols in S1,δ0(ℝn), 0≤δ<1, and in some subclasses of S1,10(ℝn) are bounded on hp(ℝn) (0<p≤1). As an application, we study the local solvability of the planar vector field L=∂t+ib(x,t)∂x, b(x,t)≥0, in spaces of mixed norm involving Hardy spaces.
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收藏
页码：153 / 178
页数：25
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