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Boundedness of fractional integral operators on α-modulation spaces

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Abstract

In this paper, we obtain the boundedness of the fractional integral operators, the bilinear fractional integral operators and the bilinear Hilbert transform on α-modulation spaces.

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Authors and Affiliations

  1. Xingzhi Colledge, Zhejiang Normal University, Jinhua, 321004, China

    Xiao-mei Wu

  2. Department of Mathematics, Zhejiang Normal University, Jinhua, 321004, China

    Jie-cheng Chen

Authors
  1. Xiao-mei Wu
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  2. Jie-cheng Chen
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Corresponding author

Correspondence to Jie-cheng Chen.

Additional information

Supported by the National Natural Science Foundation of China (11271330).

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Wu, Xm., Chen, Jc. Boundedness of fractional integral operators on α-modulation spaces. Appl. Math. J. Chin. Univ. 29, 339–351 (2014). https://doi.org/10.1007/s11766-014-3170-x

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  • DOI: https://doi.org/10.1007/s11766-014-3170-x

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