In this paper, let s∈R,0<q, p<∈∞,0<β≤∞ and max{-(n)/(q),-(nδ2)/(qδ1)}<α. Some properties on weighted Herz-type Triebel-Lizorkin spaces are given. The authors establish the weighted norm inequslities in the set for the Hardy-Littlewood maximal operator.%当s∈R,0<q, p<∞,0<β≤∞且max{-(n)/(q),-(nδ2)/(qδ1)}<α时,定义了加权 Herz-type Triebel-Lizorkin 空间Kα,pqFsβ(Rn,w1,w2)和Kα,pqFsβ(Rn,w1,w2), 并给出这些空间的一些特征及在这些空间上的Hard-Littlewood 极大算子不等式.
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