Abstract
In the paper, we characterize the coefficient multiplier spaces of mixed norm spaces (H p,q (φ1), H u,v (φ2)) 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, Jevtić, and Pavlović in one variable. The third case generalizes partly the results of Jevtić, Jovanović, and Wojtaszczyk to higher dimensions.
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Dedicated to Professor Sheng GONG on the occasion of his 75th birthday
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Shi, J., Ren, G. Coefficient multipliers of mixed norm space in the ball. SCI CHINA SER A 49, 1491–1503 (2006). https://doi.org/10.1007/s11425-006-2070-9
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DOI: https://doi.org/10.1007/s11425-006-2070-9