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Sharpness of some properties of weighted modulation spaces |
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| Authors: | WeiChao Guo DaShan Fan HuoXiong Wu GuoPing Zhao |
| Institution: | 1. School of Mathematical Sciences, Xiamen University, Xiamen, 361005, China 2. Department of Mathematics, University of Wisconsin-Milwaukee, Milwaukee, WI, 53201, USA 3. Department of Mathematics, Zhejiang University, Hangzhou, 310027, China |
| Abstract: | 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. |
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