Dixmier Traceability for General Pseudo-differential Operators

被引：5

作者：

Nicola, Fabio ^{[1
]}

Rodino, Luigi ^{[2
]}

机构：

[1] Politecn Torino, Dipartimento Matemat, Corso Duca Abruzzi 24, I-10129 Turin, Italy

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

来源：

C(ASTERISK)-ALGEBRAS AND ELLIPTIC THEORY II | 2008年

关键词：

Pseudo-differential operators; Dixmier trace; Lorentz-Marcinkie-wicz space;

D O I：

10.1007/978-3-7643-8604-7_11

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For Hormander's classes OPS(m, g) of pseudo-differential operators associated with a weight m and a metric g we prove (under an additional technical condition) that, if m is in the space L-1-weak, all operators in that class have finite Dixmier trace.

引用

页码：227 / +

页数：3

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