Corpus ID: 235694236

Trilinear Fourier multipliers on Hardy spaces

  title={Trilinear Fourier multipliers on Hardy spaces},
  author={Jin Bong Lee and Bae Jun Park},
In this paper, we obtain the H1 × H2 × H3 → H boundedness for trilinear Fourier multiplier operators, which is a trilinear analogue of the multiplier theorem of Calderón and Torchinsky [4]. Our result improves the trilinear estimate in [22] by additionally assuming an appropriate vanishing moment condition, which is natural in the boundedness into the Hardy space H for 0 < p ≤ 1. 

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