Duality of weighted multiparameter Triebel-Lizorkin spaces

In this paper, we reintroduce the weighted multi-parameter Triebel-Lizorkin spaces F˙pα,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 (F˙pα,q)*=CMOp-α,q' for 0 < p ≤ 1.