Abstract
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
$0<p\le 1$
.
Publisher
Cambridge University Press (CUP)