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Sharpness of some properties of weighted modulation spaces

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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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Authors and Affiliations

  1. School of Mathematical Sciences, Xiamen University, Xiamen, 361005, China

    WeiChao Guo & HuoXiong Wu

  2. Department of Mathematics, University of Wisconsin-Milwaukee, Milwaukee, WI, 53201, USA

    DaShan Fan

  3. Department of Mathematics, Zhejiang University, Hangzhou, 310027, China

    GuoPing Zhao

Authors
  1. WeiChao Guo
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  2. DaShan Fan
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  3. HuoXiong Wu
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  4. GuoPing Zhao
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Correspondence to GuoPing Zhao.

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Guo, W., Fan, D., Wu, H. et al. Sharpness of some properties of weighted modulation spaces. Sci. China Math. 59, 169–190 (2016). https://doi.org/10.1007/s11425-015-5067-4

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  • DOI: https://doi.org/10.1007/s11425-015-5067-4

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