In this paper, we reintroduce the weighted multi-parameter Triebel-Lizorkin spaces Fpα,q (ω; Rn1× Rn2) based on the Frazier and Jawerth’ method in [11]. This space was′firstly introduced in [18]. Then we establish its dual space and get that(Fpα,q)*= CMOp-α,q’ for 0 < p ≤ 1.
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