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Bers型空间和复合算子 总被引:6,自引:0,他引:6
For α∈(0,∞),let Hα^∞(or Hα^∞,0)denote the collection of all functions f which are analytic on the unit disc D and satisfy |f(z)|(1-|z|^2)^α=O(1)(or|f(z)|(1-|z|^2)^α=o(1) as |z|→1).Hα^∞,0)is called a Bers-type space (or a little Bers-type space).In this paper,we give some basic properties of Hα^∞,Cψ,the composition operator associated with a symbol function ψ which is an analytic self map of D,is difined by Cψf=f o ψ,We characterize the boundedness,and compactness of Cψ which sends one Bers-type space to another function space. 相似文献
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COMPOSITION OPERATOR ON BERS-TYPE SPACES 总被引:2,自引:0,他引:2
Necessary and sufficient conditions are established for a composition operator C f = fo to be bounded or compact on the Bers-type space Ha and the little Bers-type space Ha The boundedness and compactness of the composition operator C on A() are characterized, which generalize the case of C on Ha. 相似文献
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Necessary and sufficient conditions are given for a composition operator Cof = f o o to be bounded and compact from Ba to F(p, q, s). 相似文献
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COMPOSITION OPERATORS FROM Bα TO F(p, q, s) 总被引:2,自引:1,他引:2
Necessary and sufficient conditions are given for a composition operator Cφ f =f o φ to be bounded and compact from Bα to F(p, q, s). 相似文献
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