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Coefficient multipliers of Bergman spaces $A^p$, II

Published:1997-12-01
Printed: Dec 1997
• Zengjian Lou
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Abstract

We show that the multiplier space $(A^1,X)=\{g:M_\infty(r,g'') =O(1-r)^{-1}\}$, where $X$ is $\BMOA$, $\VMOA$, $B$, $B_0$ or disk algebra $A$. We give the multipliers from $A^1$ to $A^q(H^q)(1\le q\le \infty)$, we also give the multipliers from $l^p(1\le p\le 2), C_0, \BMOA$, and $H^p(2\le p<\infty)$ into $A^q(1\le q\le 2)$.
 Keywords: Multiplier, Bergman space, Hardy space, Bloch space, $\BMOA$.
 MSC Classifications: 30H05 - Bounded analytic functions 30B10 - Power series (including lacunary series)

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