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Coefficient Multipliers on Some Analytic Function Spaces

Coefficient Multipliers on Some Analytic Function Spaces
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摘要 In this paper, we give some new results of the coefficient multiplier of some analytic function spaces, characterize the coefficient multiplier spaces (Hα, p Hβ q) and (Ap,α), Aq,β) with 0 < p ≤ 1, p ≤ q ≤∞, 0 ≤α < β < ∞ and show (Hα∞, Hβ∞) = Hβ-α1 with 0 < α < β < ∞. In this paper, we give some new results of the coefficient multiplier of some analytic function spaces, characterize the coefficient multiplier spaces (Hα, p Hβ q) and (Ap,α), Aq,β) with 0 〈 p ≤ 1, p ≤ q ≤∞, 0 ≤α 〈 β 〈 ∞ and show (Hα∞, Hβ∞) = Hβ-α1 with 0 〈 α 〈 β 〈 ∞.
作者 YUE Xiu-kui
机构地区 School of Science
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2012年第3期344-351,共8页 数学季刊(英文版)
关键词 analytic function space Hadamard product MULTIPLIER closed graph theorem OPERATOR analytic function space Hadamaxd product multiplier closed graph theorem operator
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