Composition operators induced by monomial symbols and symbols with φ(D)⊂D
We work on a general class of Weighted spaces H(β) of holomorphic functions in the unit disk D and properties of composition operators Cφ. The results include characterizations for compactness, compact difference, closed range, cyclicity and complex symmetry of composition operators Cφ induced by m...
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Nanyang Technological University
2021
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sg-ntu-dr.10356-1484942023-02-28T23:13:56Z Composition operators induced by monomial symbols and symbols with φ(D)⊂D Hua, Shanshan Le Hai Khoi School of Physical and Mathematical Sciences LHKHOI@ntu.edu.sg Science::Mathematics We work on a general class of Weighted spaces H(β) of holomorphic functions in the unit disk D and properties of composition operators Cφ. The results include characterizations for compactness, compact difference, closed range, cyclicity and complex symmetry of composition operators Cφ induced by monomial symbols. Moreover, the boundedness for Cφ induced by general analytic self maps φ, where the closure of φ(D) is a subset of D, are also studied. Bachelor of Science in Mathematical Sciences 2021-04-29T04:06:07Z 2021-04-29T04:06:07Z 2021 Final Year Project (FYP) Hua, S. (2021). Composition operators induced by monomial symbols and symbols with φ(D)⊂D. Final Year Project (FYP), Nanyang Technological University, Singapore. https://hdl.handle.net/10356/148494 https://hdl.handle.net/10356/148494 en application/pdf Nanyang Technological University |
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Science::Mathematics Hua, Shanshan Composition operators induced by monomial symbols and symbols with φ(D)⊂D |
| description |
We work on a general class of Weighted spaces H(β) of holomorphic functions in the unit disk D and properties of composition operators Cφ.
The results include characterizations for compactness, compact difference, closed range, cyclicity and complex symmetry of composition operators Cφ induced by monomial symbols. Moreover, the boundedness for Cφ induced by general analytic self maps φ, where the closure of φ(D) is a subset of D, are also studied. |
| author2 |
Le Hai Khoi |
| author_facet |
Le Hai Khoi Hua, Shanshan |
| format |
Final Year Project |
| author |
Hua, Shanshan |
| author_sort |
Hua, Shanshan |
| title |
Composition operators induced by monomial symbols and symbols with φ(D)⊂D |
| title_short |
Composition operators induced by monomial symbols and symbols with φ(D)⊂D |
| title_full |
Composition operators induced by monomial symbols and symbols with φ(D)⊂D |
| title_fullStr |
Composition operators induced by monomial symbols and symbols with φ(D)⊂D |
| title_full_unstemmed |
Composition operators induced by monomial symbols and symbols with φ(D)⊂D |
| title_sort |
composition operators induced by monomial symbols and symbols with φ(d)⊂d |
| publisher |
Nanyang Technological University |
| publishDate |
2021 |
| url |
https://hdl.handle.net/10356/148494 |
| _version_ |
1759854901660221440 |