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

页码：1340 / 1405

页数：66

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