Besov and Triebel-Lizorkin Spaces Associated to Hermite Operators

被引：24

作者：

The Anh Bui ^{[1
,2
]}

Xuan Thinh Duong ^{[1
]}

机构：

[1] Macquarie Univ, Dept Math, Sydney, NSW 2109, Australia

[2] Univ Pedag, Dept Math, Ho Chi Minh City, Vietnam

来源：

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 2015年 / 21卷 / 02期

基金：

澳大利亚研究理事会;

关键词：

Hermite operator; Besov space; Triebel-Lizorkin space; Molecular decomposition; SCHRODINGER-OPERATORS; DECOMPOSITION; EXPANSIONS; LIPSCHITZ; TRANSFORM;

D O I：

10.1007/s00041-014-9378-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Consider the Hermite operator on the Euclidean space . The main aim of this article is to develop a theory of homogeneous and inhomogeneous Besov and Triebel-Lizorkin spaces associated to the Hermite operator. Our inhomogeneous Besov and Triebel-Lizorkin spaces are different from those introduced by Petrushev and Xu (J Fourier Anal Appl 14, 372-414 2008). As applications, we show the boundedness of negative powers and spectral multipliers of the Hermite operators on some appropriate Besov and Triebel-Lizorkin spaces.

引用

页码：405 / 448

页数：44

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