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The Fourier integral operators on hardy spaces associated with Herz spaces

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Abstract

In this paper, it is proved that the Fourier integral operators of order m, with −n < m ⩽ −(n−1)/2, are bounded from three kinds of Hardy spaces associated with Herz spaces to their corresponding Herz spaces.

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Author information

Authors and Affiliations

  1. Xi’an, P.R.China

    Lixia Liu & Sanyang Liu

  2. Jiaxing, P.R.China

    Bolin Ma

  3. Department of Applied Mathematics, Xidian University, Xi’an, 710071, P.R.China

    Lixia Liu & Sanyang Liu

  4. College of Mathematics and Information Engineering, Jiaxing University, Jiaxing, 314001, P.R.China

    Bolin Ma

Authors
  1. Lixia Liu
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  2. Bolin Ma
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  3. Sanyang Liu
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Corresponding author

Correspondence to Lixia Liu.

Additional information

The project is supported by the NSF of China (No. 60974082), the NSF of Hunan (No. 09JJ5002) and the Fundamental Research Funds for the Central Universities (No. JY10000970008).

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Liu, L., Ma, B. & Liu, S. The Fourier integral operators on hardy spaces associated with Herz spaces. Czech Math J 61, 271–287 (2011). https://doi.org/10.1007/s10587-011-0012-3

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  • DOI: https://doi.org/10.1007/s10587-011-0012-3

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