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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| Format: | Article |
| Language: | English |
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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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| author | Huiying Qu Yongmin Liu Shulei Cheng |
| author_facet | Huiying Qu Yongmin Liu Shulei Cheng |
| author_sort | Huiying Qu |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-5aca2f2f025a482181def114bed441da |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-5aca2f2f025a482181def114bed441da2025-08-20T02:05:28ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/832713832713Weighted Differentiation Composition Operator from Logarithmic Bloch Spaces to Zygmund-Type SpacesHuiying Qu0Yongmin Liu1Shulei Cheng2School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou 221116, ChinaSchool of Mathematics and Statistics, Jiangsu Normal University, Xuzhou 221116, ChinaSchool of Mathematics and Statistics, Jiangsu Normal University, Xuzhou 221116, ChinaLet 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.http://dx.doi.org/10.1155/2014/832713 |
| spellingShingle | Huiying Qu Yongmin Liu Shulei Cheng Weighted Differentiation Composition Operator from Logarithmic Bloch Spaces to Zygmund-Type Spaces Abstract and Applied Analysis |
| title | Weighted Differentiation Composition Operator from Logarithmic Bloch Spaces to Zygmund-Type Spaces |
| title_full | Weighted Differentiation Composition Operator from Logarithmic Bloch Spaces to Zygmund-Type Spaces |
| title_fullStr | Weighted Differentiation Composition Operator from Logarithmic Bloch Spaces to Zygmund-Type Spaces |
| title_full_unstemmed | Weighted Differentiation Composition Operator from Logarithmic Bloch Spaces to Zygmund-Type Spaces |
| title_short | Weighted Differentiation Composition Operator from Logarithmic Bloch Spaces to Zygmund-Type Spaces |
| title_sort | weighted differentiation composition operator from logarithmic bloch spaces to zygmund type spaces |
| url | http://dx.doi.org/10.1155/2014/832713 |
| work_keys_str_mv | AT huiyingqu weighteddifferentiationcompositionoperatorfromlogarithmicblochspacestozygmundtypespaces AT yongminliu weighteddifferentiationcompositionoperatorfromlogarithmicblochspacestozygmundtypespaces AT shuleicheng weighteddifferentiationcompositionoperatorfromlogarithmicblochspacestozygmundtypespaces |