The inclusion relations between α-modulation spaces and LP-Sobolev spaces or local Hardy spaces

被引：13
|
作者：
Kato, Tomoya [1 ]
机构：
[1] Nagoya Univ, Grad Sch Math, Chikusa Ku, Furocho, Nagoya, Aichi 4648602, Japan
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2017年 / 272卷 / 04期
关键词：
Inclusion relations; alpha-Modulation spaces; L-p-Sobolev spaces; Local Hardy spaces; PSEUDODIFFERENTIAL-OPERATORS; DECOMPOSITION; COMMUTATORS; SYMBOLS; NLS;
D O I：
10.1016/j.jfa.2016.12.002
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we first discuss equivalent norms for alpha-modulation spaces which are composed from decomposition with non compact (frequency) support. Then, we determine sharp inclusion relations between alpha-modulation spaces and LP-Sobolev spaces, and between alpha-modulation spaces and local Hardy spaces. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码：1340 / 1405
页数：66
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