MULTI-PARAMETER HARDY SPACES VIA DISCRETE LITTLEWOOD-PALEY THEORY

摘要

In this paper, we apply a discrete Littlewood-Paley analysis to obtain Hardy spaces Hp(Rn1 ×···× Rnk) of arbitrary number of parameters characterized by discrete Littlewood-Paley square function and derive the boundedness of singular integral operators on Hp(Rn1 ×···×Rnk) and from Hp(Rn1 ×···×Rnk) to Lp(Rn1 ×···×Rnk).