Abstract and Applied Analysis

Weighted Differentiation Composition Operator from Logarithmic Bloch Spaces to Zygmund-Type Spaces

Huiying Qu, Yongmin Liu, and Shulei Cheng

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Abstract

Let H ( 𝔻 ) denote the space of all holomorphic functions on the unit disk 𝔻 of , u H ( 𝔻 ) and let  n be a positive integer, φ a holomorphic self-map of 𝔻 , and μ a weight. In this paper, we investigate the boundedness and compactness of a weighted differentiation composition operator 𝒟 φ , u n f ( z ) = u ( z ) f ( n ) ( φ ( z ) ) , f H ( 𝔻 ) , from the logarithmic Bloch spaces to the Zygmund-type spaces.

Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 832713, 14 pages.

Dates
First available in Project Euclid: 2 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412276920

Digital Object Identifier
doi:10.1155/2014/832713

Mathematical Reviews number (MathSciNet)
MR3198257

Zentralblatt MATH identifier
07023157

Citation

Qu, Huiying; Liu, Yongmin; Cheng, Shulei. Weighted Differentiation Composition Operator from Logarithmic Bloch Spaces to Zygmund-Type Spaces. Abstr. Appl. Anal. 2014 (2014), Article ID 832713, 14 pages. doi:10.1155/2014/832713. https://projecteuclid.org/euclid.aaa/1412276920


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