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

Huiying Qu, Yongmin Liu and Shulei Cheng

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: Let H(𝔻) denote the space of all holomorphic functions on the unit disk 𝔻 of ℂ, 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 𝒟φ,unf(z)=u(z)f(n)(φ(z)),f∈H(𝔻), from the logarithmic Bloch spaces to the Zygmund‐type spaces.

Date: 2014
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https://doi.org/10.1155/2014/832713

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:832713

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