• 제목/요약/키워드: Bilinear pseudodifferential operators

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

  • Yin Liu;Lushun Wang
    • 대한수학회보
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    • 제61권2호
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    • pp.529-540
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    • 2024
  • 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.