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Sharp Embedding Relations Between Local Hardy and α-Modulation Spaces

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Abstract

In this paper, we give optimal embedding relations between local Hardy spaces and α-modulation spaces. By a different approach, we extend the main results obtained by Kobayashi, Miyachi and Tomita in [Studia Math., 192 (2009), 79–96].

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Authors and Affiliations

  1. School of Applied Mathematics, Xiamen University of Technology, Xiamen, 361024, P. R. China

    G. Zhao

  2. School of Science, Hangzhou Dianzi University, Hangzhou, 310018, P. R. China

    G. Gao

  3. School of Science, Jimei University, Xiamen, 361021, P. R. China

    W. Guo

Authors
  1. G. Zhao
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  2. G. Gao
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  3. W. Guo
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Corresponding author

Correspondence to W. Guo.

Additional information

This work was supported by the National Natural Science Foundation of China (Grants 11701112, 11701130, 11671414 and 11601456), and the Natural Science Foundation of Fujian Province (Grants 2020J01267, 2020J01708).

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Zhao, G., Gao, G. & Guo, W. Sharp Embedding Relations Between Local Hardy and α-Modulation Spaces. Anal Math 47, 451–481 (2021). https://doi.org/10.1007/s10476-021-0077-7

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  • DOI: https://doi.org/10.1007/s10476-021-0077-7

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