The korenblum maximum principle for some function spaces
We study the Korenblum Maximum Principle on the weighted Fock space Fpα(C) and the weighted Bergman space Apα(D) under the gaussian weight e−pα2|z|2. We obtain explicit expressions for the upper bounds of Korenblum constants for the weighted Fock space Fpα(C), p ≥ 1 and α > 0. Then, we obtain u...
| Päätekijä: | |
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| Muut tekijät: | |
| Aineistotyyppi: | Final Year Project (FYP) |
| Kieli: | English |
| Julkaistu: |
2019
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| Aiheet: | |
| Linkit: | http://hdl.handle.net/10356/77142 |
| _version_ | 1826124246193012736 |
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| author | Wee, JunJie |
| author2 | Le Hai Khoi |
| author_facet | Le Hai Khoi Wee, JunJie |
| author_sort | Wee, JunJie |
| collection | NTU |
| description | We study the Korenblum Maximum Principle on the weighted Fock space Fpα(C) and the weighted Bergman space Apα(D) under the gaussian weight e−pα2|z|2.
We obtain explicit expressions for the upper bounds of Korenblum constants for
the weighted Fock space Fpα(C), p ≥ 1 and α > 0. Then, we obtain upper bounds
of such constants for the weighted Bergman space Apα(D), p ≥ 1 and α ≥ 0.
We also show a failure of the Korenblum Maximum Principle for weighted
Bergman space Apα(D), where 0 < p < 1, α > 0, thus bringing closure of the
problem under weighted Bergman space Apα(D) where α > 0. |
| first_indexed | 2024-10-01T06:17:31Z |
| format | Final Year Project (FYP) |
| id | ntu-10356/77142 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T06:17:31Z |
| publishDate | 2019 |
| record_format | dspace |
| spelling | ntu-10356/771422023-02-28T23:15:59Z The korenblum maximum principle for some function spaces Wee, JunJie Le Hai Khoi School of Physical and Mathematical Sciences DRNTU::Science::Mathematics::Analysis We study the Korenblum Maximum Principle on the weighted Fock space Fpα(C) and the weighted Bergman space Apα(D) under the gaussian weight e−pα2|z|2. We obtain explicit expressions for the upper bounds of Korenblum constants for the weighted Fock space Fpα(C), p ≥ 1 and α > 0. Then, we obtain upper bounds of such constants for the weighted Bergman space Apα(D), p ≥ 1 and α ≥ 0. We also show a failure of the Korenblum Maximum Principle for weighted Bergman space Apα(D), where 0 < p < 1, α > 0, thus bringing closure of the problem under weighted Bergman space Apα(D) where α > 0. Bachelor of Science in Mathematical Sciences 2019-05-13T13:39:00Z 2019-05-13T13:39:00Z 2019 Final Year Project (FYP) http://hdl.handle.net/10356/77142 en 40 p. application/pdf |
| spellingShingle | DRNTU::Science::Mathematics::Analysis Wee, JunJie The korenblum maximum principle for some function spaces |
| title | The korenblum maximum principle for some function spaces |
| title_full | The korenblum maximum principle for some function spaces |
| title_fullStr | The korenblum maximum principle for some function spaces |
| title_full_unstemmed | The korenblum maximum principle for some function spaces |
| title_short | The korenblum maximum principle for some function spaces |
| title_sort | korenblum maximum principle for some function spaces |
| topic | DRNTU::Science::Mathematics::Analysis |
| url | http://hdl.handle.net/10356/77142 |
| work_keys_str_mv | AT weejunjie thekorenblummaximumprincipleforsomefunctionspaces AT weejunjie korenblummaximumprincipleforsomefunctionspaces |