Generalized Integration Operators from Mixed-Norm to Zygmund-Type Spaces

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• 作者：Jian Guo ; Yongmin Liu
• 刊名：Bulletin of the Malaysian Mathematical Sciences Society
• 出版年：2016
• 出版时间：July 2016
• 年：2016
• 卷：39
• 期：3
• 页码：1043-1057
• 全文大小：505 KB
• 刊物类别：Mathematics, general; Applications of Mathematics;
• 刊物主题：Mathematics, general; Applications of Mathematics;
• 出版者：Springer Singapore
• ISSN：2180-4206
• 卷排序：39

文摘

Let \(\varphi \) be an analytic self-map of the unit disk \(\mathbb {D},\,H(\mathbb {D})\) the space of analytic functions on \({\mathbb {D}}\), and \(g \in H(\mathbb {D}).\) The boundedness and compactness of the generalized integration operator $$\begin{aligned} I^{(n)}_{g,\varphi }f(z)=\int \limits ^{z}_{0}f^{(n)}(\varphi (\xi ))g(\xi )\mathrm{d}\xi , \quad z\in \mathbb {D}, \end{aligned}$$