Coefficient multipliers of mixed norm space in the ball

摘要

In the paper, we characterize the coefficient multiplier spaces of mixed norm spaces (H_(p,q)(ψ1), H_(u,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 ≤ ∞, and 0 ＜ p ≤ u ≤ ∞ or 1 ≤ p, u ≤ ∞. The first case extends the result of Blasco, Jevtic, and Pavlovic in one variable. The third case generalizes partly the results of Jevtic, Jovanovic, and Wojtaszczyk to higher dimensions.