Hormander type multiplier theorems on bi-parameter anisotropic Hardy spaces

摘要

The main purpose of this paper is to establish, using the bi-parameter Littlewood-Paley-Stein theory (in particular, the bi-parameter Halewood Paley Stein square functions), a Calderon Torchinsky type theorem for the following Fourier multipliers on anisotropic product Hardy spaces H-P(R-n1 x R-n2; (A) over right arrow) (0 < p <= 1):