Bulletin of the Korean Mathematical Society (대한수학회보)

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THE BOUNDEDNESS OF BILINEAR PSEUDODIFFERENTIAL OPERATORS IN TRIEBEL-LIZORKIN AND BESOV SPACES WITH VARIABLE EXPONENTS

  • Yin Liu (School of Mathematics and Statistics Nanyang Normal University) ;
  • Lushun Wang (Department of Mathematics Zhejiang Normal University)
  • Received : 2023.04.11
  • Accepted : 2024.01.26
  • Published : 2024.03.31
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Abstract

In this paper, using the Fourier transform, inverse Fourier transform and Littlewood-Paley decomposition technique, we prove the boundedness of bilinear pseudodifferential operators with symbols in the bilinear Hörmander class $BS^{m}_{1,1}$ in variable Triebel-Lizorkin spaces and variable Besov spaces.

Keywords

Acknowledgement

The authors would like to express their deep thanks to the referees for their valuable comments and suggestions.

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