M-Hypoelliptic pseudo-differential operators on Lp(Rn)

被引：7

作者：

Catana, Viorel ^{[1
]}

机构：

[1] Univ Politehn Bucuresti, Dept Math, Bucharest, Romania

来源：

APPLICABLE ANALYSIS | 2008年 / 87卷 / 06期

关键词：

M-hypoellipticity; minimal and maximal pseudo-differential operators; spectrum; essential spectrum;

D O I：

10.1080/00036810801952946

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Following Wong's point of view, we construct the minimal and maximal extension in L-p(R-n), 1 < p < infinity for M-hypoelliptic pseudo-differential operators, which have been introduced and studied by Garello and Morando. We give some facts about the domain of minimal and maximal extensions of M-hypoelliptic pseudo-differential operators. For M-hypoelliptic pseudo-differential operators with constant coefficients, the spectrum and essential spectrum are computed.

引用

页码：657 / 666

页数：10

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