Topological Structures of Derivative Weighted Composition Operators on the Bergman Space
We characterize the difference of derivative weighted composition operators on the Bergman space in the unit disk and determine when linear-fractional derivative weighted composition operators belong to the same component of the space of derivative weighted composition operators on the Bergman space...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2015/672385 |
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| _version_ | 1832552277361033216 |
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| author | Ce-Zhong Tong Cheng Yuan Ze-Hua Zhou |
| author_facet | Ce-Zhong Tong Cheng Yuan Ze-Hua Zhou |
| author_sort | Ce-Zhong Tong |
| collection | DOAJ |
| description | We characterize the difference of derivative weighted composition operators on the Bergman space in the unit disk and determine when linear-fractional derivative weighted composition operators belong to the same component of the space of derivative weighted composition operators on the Bergman space under the operator norm topology. |
| format | Article |
| id | doaj-art-1e3c1ea6463b49a8af74291348cf0a01 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-1e3c1ea6463b49a8af74291348cf0a012025-02-03T05:59:02ZengWileyJournal of Function Spaces2314-88962314-88882015-01-01201510.1155/2015/672385672385Topological Structures of Derivative Weighted Composition Operators on the Bergman SpaceCe-Zhong Tong0Cheng Yuan1Ze-Hua Zhou2Department of Mathematics, Hebei University of Technology, Tianjin 300401, ChinaInstitute of Mathematics, School of Science, Tianjin University of Technology and Education, Tianjin 300222, ChinaDepartment of Mathematics, Tianjin University, Tianjin 300072, ChinaWe characterize the difference of derivative weighted composition operators on the Bergman space in the unit disk and determine when linear-fractional derivative weighted composition operators belong to the same component of the space of derivative weighted composition operators on the Bergman space under the operator norm topology.http://dx.doi.org/10.1155/2015/672385 |
| spellingShingle | Ce-Zhong Tong Cheng Yuan Ze-Hua Zhou Topological Structures of Derivative Weighted Composition Operators on the Bergman Space Journal of Function Spaces |
| title | Topological Structures of Derivative Weighted Composition Operators on the Bergman Space |
| title_full | Topological Structures of Derivative Weighted Composition Operators on the Bergman Space |
| title_fullStr | Topological Structures of Derivative Weighted Composition Operators on the Bergman Space |
| title_full_unstemmed | Topological Structures of Derivative Weighted Composition Operators on the Bergman Space |
| title_short | Topological Structures of Derivative Weighted Composition Operators on the Bergman Space |
| title_sort | topological structures of derivative weighted composition operators on the bergman space |
| url | http://dx.doi.org/10.1155/2015/672385 |
| work_keys_str_mv | AT cezhongtong topologicalstructuresofderivativeweightedcompositionoperatorsonthebergmanspace AT chengyuan topologicalstructuresofderivativeweightedcompositionoperatorsonthebergmanspace AT zehuazhou topologicalstructuresofderivativeweightedcompositionoperatorsonthebergmanspace |