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
收藏
页码：353 / 378
页数：26
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