In the paper, we characterize the coefficient multiplier spaces of mixed norm spaces (Hp,q(ψ1),Hu,v(ψ2)) for the values of p,q,u,v in three cases: (i) 0 ＜ p ≤ u ≤∞, 0 ＜ q ≤min(1,v) ≤∞. (ii) v= ∞,0 ＜ p ≤ u...In the paper, we characterize the coefficient multiplier spaces of mixed norm spaces (Hp,q(ψ1),Hu,v(ψ2)) for the values of p,q,u,v in three cases: (i) 0 ＜ p ≤ u ≤∞, 0 ＜ q ≤min(1,v) ≤∞. (ii) v= ∞,0 ＜ p ≤ u ≤∞, 1 ≤ u,q ≤∞. (iii) 1 ≤ v ≤ 2 ≤ q ≤∞, and 0 ＜ p ≤ u ≤∞ or 1 ≤ p,u ≤∞. The first case extends the result of Blasco, Jevti(c), and Pavlovi(c) in one variable. The third case generalizes partly the results of Jevti(c), Jovanovi(c), and Wojtaszczyk to higher dimensions.展开更多
基金This work was supported by the National Natural Science Foundation of China(Grant No.10471134)grants from Specialized Research Fund for the doctoral program of Higher Education(SRFDP20050358052)Program for New Century Excellent Talents in University(NCET-05-0539).
文摘In the paper, we characterize the coefficient multiplier spaces of mixed norm spaces (Hp,q(ψ1),Hu,v(ψ2)) for the values of p,q,u,v in three cases: (i) 0 ＜ p ≤ u ≤∞, 0 ＜ q ≤min(1,v) ≤∞. (ii) v= ∞,0 ＜ p ≤ u ≤∞, 1 ≤ u,q ≤∞. (iii) 1 ≤ v ≤ 2 ≤ q ≤∞, and 0 ＜ p ≤ u ≤∞ or 1 ≤ p,u ≤∞. The first case extends the result of Blasco, Jevti(c), and Pavlovi(c) in one variable. The third case generalizes partly the results of Jevti(c), Jovanovi(c), and Wojtaszczyk to higher dimensions.
