Lp-microlocal regularity for pseudodifferential operators of quasi-homogeneous type

被引：4

作者：

Garello, Gianluca ^{[1
]}

Morando, Alessandro ^{[2
]}

机构：

[1] Univ Turin, Dept Math, I-10123 Turin, Italy

[2] Univ Brescia, Dept Math, I-25133 Brescia, Italy

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2009年 / 54卷 / 08期

关键词：

non-regular pseudodifferential operators; microlocal properties; weighted Zygmund-Holder and Sobolev spaces;

D O I：

10.1080/17476930903030044

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The authors consider pseudodifferential operators whose symbols have decay at infinity of quasi-homogeneous type and study their behaviour on the wave front set of distributions in weighted Zygmund-Holder spaces and weighted Sobolev spaces in L-p-framework. Then microlocal properties for solutions to linear partial differential equations with coefficients in weighted Zygmund-Holder spaces are obtained.

引用

页码：779 / 794

页数：16

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