Sharpness of some properties of weighted modulation spaces

Sharpness of some properties of weighted modulation spaces

We obtain some optimal properties on weighted modulation spaces. We find the necessary and sufficient conditions for product inequalities, convolution inequalities and embedding on weighted modulation spaces. Especially, we establish the analogue of the sharp Sobolev embedding theorem on weighted mo...

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Veröffentlicht in:Science China. Mathematics 2016, Vol.59 (1), p.169-190
Hauptverfasser: Guo, WeiChao, Fan, DaShan, Wu, HuoXiong, Zhao, GuoPing
Format: Artikel
Sprache:eng
Schlagworte:
Analogue
Applications of Mathematics
China
Convolution
Inequalities
Mathematical analysis
Mathematics
Mathematics and Statistics
Modulation
Optimization
Sharpness
Sobolev
加权
卷积不等式
嵌入
性质
清晰度
空间
调制
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Beschreibung
Zusammenfassung:We obtain some optimal properties on weighted modulation spaces. We find the necessary and sufficient conditions for product inequalities, convolution inequalities and embedding on weighted modulation spaces. Especially, we establish the analogue of the sharp Sobolev embedding theorem on weighted modulation spaces.
ISSN:1674-7283
1869-1862
DOI:10.1007/s11425-015-5067-4