Calderon-Zygmund型算子在加权Herz型Hardy空间上的弱型估计

THE WEAK ESTIMATES FOR CALDERON-ZYGMUND TYPE OPERATORS ON THE WEIGHTED HERZ-TYPE HARDY SPACES

本文引入了加权弱 Herz型 Hardy空间 ,并证明了当 α=n(1 - 1q) +δ时 ,胡国恩和陆善镇等在文 [1 ]中所考虑的两类 Calderon- Zygmund型算子分别连续地映加权 Herz型 Hardy空间到加权弱 Herz空间和加权弱 Herz型 Hardy空间 .

In this paper, the weighted weak Herz-type Hardy spaces are introduced and establish the continuity of two classes Calderon-Zygmund type operators (considered in by Huo Guoen and Lu Shanzhen) from the weighted Herz-type Hardy spaces into the weighted weak Herz spaces and from the weighted Herz-type Hardy spaces into the weighted weak Herz-type Hardy spaces when α=n(1-1q)+δ.