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 ...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 onHP(Rn1× … ×Rnk) and fromHP(Rn1× … ×Rnk)toLP(Rn1× … ×Rnk).展开更多
文摘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 onHP(Rn1× … ×Rnk) and fromHP(Rn1× … ×Rnk)toLP(Rn1× … ×Rnk).