Complex powers of hypoelliptic pseudodifferential operators

被引：13

作者：

Buzano, Ernesto

Nicola, Fabio

机构：

[1] Univ Turin, Dipartimento Matemat, I-10123 Turin, Italy

[2] Politecn Torino, Dipartimento Matemat, I-10129 Turin, Italy

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2007年 / 245卷 / 02期

关键词：

pseudodifferential operators; Weyl-Hormander calculus; complex powers; non-negative operators; global hypoellipticity; DIFFERENTIAL-OPERATORS; CONICAL SINGULARITIES; MANIFOLDS; RESOLVENT; CALCULUS; SPACES;

D O I：

10.1016/j.jfa.2007.01.008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Complex powers of a class of hypoelliptic pseudodifferential operators in R(n), as well as their heat kernels are studied. An application to the Schatten-von Neumann property of pseudodifferential operators is given. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：353 / 378

页数：26

共 33 条

[1]

[Anonymous], PSEUDODIFFERENTIAL O

[2]

[Anonymous], 1984, ASTERISQUE

[3]

[Anonymous], 1998, PURE APPL MATH

[4] HEAT EQUATION AND INDEX THEOREM [J].