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)(φ_1),H_(u,v)(φ_2)) 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, Jevtic, and Pavlovic in one variable. The third case generalizes partly the results of Jevtic, Jovanovic, and Wojtaszczyk to higher dimensions.