Weighted Differentiation Composition Operator from Logarithmic Bloch Spaces to Zygmund-Type Spaces
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)(...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/832713 |
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| Summary: | 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. |
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| ISSN: | 1085-3375 1687-0409 |