Weighted Composition Operators on the Zygmund Space

Shanli Ye; Qingxiao Hu

doi:10.1155/2012/462482

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Home > Journals > Abstr. Appl. Anal. > Volume 2012 > Article

2012 Weighted Composition Operators on the Zygmund Space

Shanli Ye, Qingxiao Hu

Abstr. Appl. Anal. 2012: 1-18 (2012). DOI: 10.1155/2012/462482

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Abstract

We characterize the boundedness and compactness of the weighted composition operator on the Zygmund space $\mathcal{Z}=\{f\in H(D):{\mathrm{sup}}_{z\in D}(1-|z{|}^{2})|{f}^{″}(z)|<\infty \}$ and the little Zygmund space ${\mathcal{Z}}_{0}$ .

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Shanli Ye. Qingxiao Hu. "Weighted Composition Operators on the Zygmund Space." Abstr. Appl. Anal. 2012 1 - 18, 2012. https://doi.org/10.1155/2012/462482

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Published: 2012

First available in Project Euclid: 14 December 2012

zbMATH: 1277.47038

MathSciNet: MR2935151

Digital Object Identifier: 10.1155/2012/462482

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Shanli Ye, Qingxiao Hu "Weighted Composition Operators on the Zygmund Space," Abstract and Applied Analysis, Abstr. Appl. Anal. 2012(none), 1-18, (2012)

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