Herz型空间中的Littlewood-Paley g函数

Littlewood-Paley's g-Function on Herz-type Spaces

本文研究了包含 Ｌｉｔｔｌｅｗｏｏｄ－Ｐａｌｅｙ ｇ函数在内的一大类次线性算子从 Ｈｅｒｚ 空间到弱Ｈｅｒｚ空间ＷＫ中的有界 性；而当时，我们得到了ｇ函数从 Ｈｅｒｚ型 Ｈａｒｄｙ空间 ＨＫ（Ｒｎ）到 Ｈｅｒｚ空间或弱Ｈｅｒｚ空间ＷＫ（Ｒｎ）中的有界性．

In this papers the boundedness properties are considered for a large class of sublinear operators, including Littlewood-Paley's g-function, from Herz spaces Kq to weak Herz space WK (Rn) , When the boundedness for g-function from Herz-type Hardy space HKq(Rn) to Herz space K(Rn) or weak Herz space WK (Rn) are also established.