Nuclear Pseudo-Differential Operators in Besov Spaces on Compact Lie Groups

被引：6

作者：

Cardona, Duvan ^{[1
]}

机构：

[1] Univ Los Andes, Dept Math, Bogota, Colombia

来源：

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 2017年 / 23卷 / 05期

关键词：

Besov spaces; Nuclear trace; Pseudo-differential operator; Compact Lie group; Approximation property; APPROXIMATION PROPERTIES; L-P; SUBSPACES; PROPERTY; WIENER;

D O I：

10.1007/s00041-016-9512-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we establish the metric approximation property for Besov spaces defined on arbitrary compact Lie groups. As a consequence of this fact, we investigate trace formulae for nuclear Fourier multipliers on Besov spaces. Finally, we study the r-nuclearity, the Grothendieck-Lidskii formula and the (nuclear) trace of pseudo-differential operators in generalized Hormander classes acting on periodic Besov spaces. We will restrict our attention to pseudo-differential operators with symbols of limited regularity.

引用

页码：1238 / 1262

页数：25

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