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TRILINEAR FOURIER MULTIPLIERS ON HARDY SPACES
Published online by Cambridge University Press: 15 February 2024
Abstract
In this paper, we obtain the 
$H^{p_1}\times H^{p_2}\times H^{p_3}\to H^p$ 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 
$H^p$ for 
$0<p\le 1$.
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