## Abstract and Applied Analysis

### Weighted Composition Operators on the Zygmund Space

#### 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 ${\mathcal{Z}}_{0}$.

#### Article information

Source
Abstr. Appl. Anal., Volume 2012 (2012), Article ID 462482, 18 pages.

Dates
First available in Project Euclid: 14 December 2012

https://projecteuclid.org/euclid.aaa/1355495746

Digital Object Identifier
doi:10.1155/2012/462482

Mathematical Reviews number (MathSciNet)
MR2935151

Zentralblatt MATH identifier
1277.47038

#### Citation

Ye, Shanli; Hu, Qingxiao. Weighted Composition Operators on the Zygmund Space. Abstr. Appl. Anal. 2012 (2012), Article ID 462482, 18 pages. doi:10.1155/2012/462482. https://projecteuclid.org/euclid.aaa/1355495746

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