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| 摘要: |
| 本文研究了Fp空间上的复合算子的几个问题.应用泛函分析的方法研究了Fp(相应地,Fp,0)空间到Bloch空间的复合算子的有界性和紧性的若干充分和必要条件.此外,也刻画了当1 ≤ p < ∞时从Bloch空间到Fp空间的等距复合算子并且证明了当0 < p < ∞时Fp,0上的复合算子不具有Fredholm性. |
| 关键词: 复合算子 紧性 等距 Fredholm性 |
| DOI： |
| 分类号:O177.2 |
| 基金项目:Supported by NSFC (11271293; 11431011; 11471251). |
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| COMPOSITION OPERATORS ASSOCIATED WITH Fp SPACES |
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LIU Yun,ZHANG Rui
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| Abstract: |
| In this paper, we study composition operators associated with Fp space. By the means of functional analysis, we study some necessary and sufficient conditions for composition operators Cφ to be bounded and compact from Fp (resp. Fp,0) to B. In addition, we also characterize the isometric composition operators from B to Fp for 1 ≤ p < ∞ and show that no composition operator on Fp,0 for 0 < p < ∞ is Fredholm, which extend some previous results. |
| Key words: composition operator compactness isometry Fredholmness |
