Weighted Composition Operators on the Zygmund Space
We characterize the boundedness and compactness of the weighted composition operator on the Zygmund space Z={f∈H(D):supz∈D(1-|z|2)|f″(z)|<∞} and the little Zygmund space Z0.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/462482 |
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| _version_ | 1832563695505375232 |
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| author | Shanli Ye Qingxiao Hu |
| author_facet | Shanli Ye Qingxiao Hu |
| author_sort | Shanli Ye |
| collection | DOAJ |
| description | We characterize the boundedness and compactness of the weighted composition operator on the Zygmund space Z={f∈H(D):supz∈D(1-|z|2)|f″(z)|<∞} and the little Zygmund space Z0. |
| format | Article |
| id | doaj-art-357b36f471dd438f9262a2adf8bd6044 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-357b36f471dd438f9262a2adf8bd60442025-02-03T01:12:50ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/462482462482Weighted Composition Operators on the Zygmund SpaceShanli Ye0Qingxiao Hu1Department of Mathematics, Fujian Normal University, Fuzhou 350007, ChinaDepartment of Mathematics, Fujian Normal University, Fuzhou 350007, ChinaWe characterize the boundedness and compactness of the weighted composition operator on the Zygmund space Z={f∈H(D):supz∈D(1-|z|2)|f″(z)|<∞} and the little Zygmund space Z0.http://dx.doi.org/10.1155/2012/462482 |
| spellingShingle | Shanli Ye Qingxiao Hu Weighted Composition Operators on the Zygmund Space Abstract and Applied Analysis |
| title | Weighted Composition Operators on the Zygmund Space |
| title_full | Weighted Composition Operators on the Zygmund Space |
| title_fullStr | Weighted Composition Operators on the Zygmund Space |
| title_full_unstemmed | Weighted Composition Operators on the Zygmund Space |
| title_short | Weighted Composition Operators on the Zygmund Space |
| title_sort | weighted composition operators on the zygmund space |
| url | http://dx.doi.org/10.1155/2012/462482 |
| work_keys_str_mv | AT shanliye weightedcompositionoperatorsonthezygmundspace AT qingxiaohu weightedcompositionoperatorsonthezygmundspace |