On the boundedness of the differentiation operator between weighted spaces of holomorphic functions

被引：40

作者：

Harutyunyan, Anahit ^{[1
]}

Lusky, Wolfgang ^{[2
]}

机构：

[1] Yerevan State Univ, Fac Informat & Appl Math, Yerevan 25, Armenia

[2] Univ Gesamthsch Paderborn, Inst Math, D-33098 Paderborn, Germany

来源：

STUDIA MATHEMATICA | 2008年 / 184卷 / 03期

关键词：

D O I：

10.4064/sm184-3-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give necessary and sufficient conditions on the weights v and w such that the differentiation operator D : Hv(Omega) -> Hw(Omega) between two weighted spaces of holomorphic functions is bounded and onto. Here Omega = C or Omega = D. In particular we characterize all weights v such that D : Hv(S?) Hw(S?) is bounded and onto where w(r) = v(r)(1 - r) if Omega = D and w = v if Omega = C. This leads to a new description of normal weights.

引用

页码：233 / 247

页数：15

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