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arXiv 1201.0636math.FA
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与透镜映射相关的复合算子的一些新性质

Some new properties of composition operators associated with lens maps

Pascal Lefèvre, Daniel Li, Hervé Queffélec, Luis Rodriguez-Piazza

摘要:

我们给出的结果与镜头映射的组合运营商的例子。前两个问题涉及这些算子作用在通常的Hardy空间$H^2$上的逼近数。最后一类与Hardy-Orlicz和Bergman-Orlicz空间$H^ψ$和$B^ψ$有关,并对非自反空间上弱紧的复合算子是否范数紧的问题给出了否定的回答.

英文摘要:

We give examples of results on composition operators connected with lens maps. The first two concern the approximation numbers of those operators acting on the usual Hardy space $H^2$. The last ones are connected with Hardy-Orlicz and Bergman-Orlicz spaces $H^ψ$ and $B^ψ$, and provide a negative answer to the question of knowing if all composition operators which are weakly compact on a non-reflexive space are norm-compact.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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