| Bloch型空间上广义Cesàro算子的本性模(英文) |
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| 引用本文： | 赵弟.Bloch型空间上广义Cesàro算子的本性模(英文)[J].数学季刊,2013(1):105-110. |
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| 作者姓名： | 赵弟 |
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| 作者单位： | College of Mathematics, Physics and Information Engineering, Zhejiang Normal University |
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| 基金项目： | Supported by the NNSF of China(10771064);Supported by the Natural Science Foundation of Zhejiang Province(Y7080197, Y6090036, Y6100219);Supported by the Foundation of Creative Groupin Colleges and Universities of Zhejiang Province(T200924) |
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| 摘 要： | The Bloch-type space Bω consists of all functions f ∈ H(B) for which||f||Bω=sup/z∈Bω(z)|▽f(z)|< ∞.Let T be the extended Ces`aro operator with holomorphic symbol . The essential norm of T as an operator from Bω to Bμ is denoted by ||T||e,B ω→Bμ . The purpose of this paper is to prove that, for ω, μ normal and ∈H(B)||T||e,B ω→Bμ■ lim sup|z|→1 μ(z)|■ (z)|∫ |z| 0 dt ω(t) .
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| 关 键 词： | extended Cesàro operator Bloch-type space essential norm |
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