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.
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页码：405 / 448
页数：44
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