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Norm and Essential Norm of Composition Operator on Bergman Space[J]. Journal of South China Normal University (Natural Science Edition), 2009, 1(3): 9-13 .
Citation: Norm and Essential Norm of Composition Operator on Bergman Space[J]. Journal of South China Normal University (Natural Science Edition), 2009, 1(3): 9-13 .
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Norm and Essential Norm of Composition Operator on Bergman Space

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  • Let D be the unit disk, A^p(D) be the Bergman space in D and \varphi be an analytic self-map of D. The composition operator C_\varphi is defined as (C_\varphi f)(z)=f(\varphi(z)) . Then the property of KSP of the composition operator on A^p(D) is investigated, and the norm and the essential norm of some composition operators on Bergman spaces on D are calculated.
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