The inclusion relations between α-modulation spaces and L^p-Sobolev spaces or local Hardy spaces

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• 作者：Tomoya Kato ^{m11024x@math.nagoya-u.ac.jp}
• 关键词：Inclusion relations ; α-Modulation spaces ; LpLp-Sobolev spaces ; Local Hardy spaces
• 刊名：Journal of Functional Analysis
• 出版年：2017
• 出版时间：15 February 2017
• 年：2017
• 卷：272
• 期：4
• 页码：1340-1405
• 全文大小：831 K
• 卷排序：272

文摘

In this paper, we first discuss equivalent norms for α-modulation spaces which are composed from decomposition with non-compact (frequency) support. Then, we determine sharp inclusion relations between α  -modulation spaces and LpLp-Sobolev spaces, and between α-modulation spaces and local Hardy spaces.