Korenblum constants for some function spaces
We study the Korenblum Maximum Principle on the weighted Fock spaces and the weighted Bergman spaces with exponential weights. First, we give explicit expressions for the upper bounds of Korenblum constants for the weighted Fock spaces. Then, we obtain upper bounds of such constants for the weighted...
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
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2021
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| Online Access: | https://hdl.handle.net/10356/152023 |
| _version_ | 1826117849819643904 |
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| author | Wee, Junjie Khoi, Le Hai |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Wee, Junjie Khoi, Le Hai |
| author_sort | Wee, Junjie |
| collection | NTU |
| description | We study the Korenblum Maximum Principle on the weighted Fock spaces and the weighted Bergman spaces with exponential weights. First, we give explicit expressions for the upper bounds of Korenblum constants for the weighted Fock spaces. Then, we obtain upper bounds of such constants for the weighted Bergman spaces. Finally, we show a failure of the Korenblum Maximum Principle for weighted Bergman spaces Aᵖ𝛼(D), where 0 < p < 1, a > 0. |
| first_indexed | 2024-10-01T04:34:06Z |
| format | Journal Article |
| id | ntu-10356/152023 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T04:34:06Z |
| publishDate | 2021 |
| record_format | dspace |
| spelling | ntu-10356/1520232023-02-28T19:55:47Z Korenblum constants for some function spaces Wee, Junjie Khoi, Le Hai School of Physical and Mathematical Sciences Science::Mathematics Hardy Space Bergman Space We study the Korenblum Maximum Principle on the weighted Fock spaces and the weighted Bergman spaces with exponential weights. First, we give explicit expressions for the upper bounds of Korenblum constants for the weighted Fock spaces. Then, we obtain upper bounds of such constants for the weighted Bergman spaces. Finally, we show a failure of the Korenblum Maximum Principle for weighted Bergman spaces Aᵖ𝛼(D), where 0 < p < 1, a > 0. Ministry of Education (MOE) Accepted version This work was supported in part by MOE’s AcRF Tier 1 grant M4011724.110 (RG128/16). 2021-07-30T05:04:15Z 2021-07-30T05:04:15Z 2019 Journal Article Wee, J. & Khoi, L. H. (2019). Korenblum constants for some function spaces. Proceedings of the American Mathematical Society, 148(3), 1175-1185. https://dx.doi.org/10.1090/proc/14778 0002-9939 https://hdl.handle.net/10356/152023 10.1090/proc/14778 2-s2.0-85078879613 3 148 1175 1185 en M4011724.110 (RG128/16) Proceedings of the American Mathematical Society © 2019 American Mathematical Society. All rights reserved. This paper was published in Proceedings of the American Mathematical Society and is made available with permission of American Mathematical Society. application/pdf |
| spellingShingle | Science::Mathematics Hardy Space Bergman Space Wee, Junjie Khoi, Le Hai Korenblum constants for some function spaces |
| title | Korenblum constants for some function spaces |
| title_full | Korenblum constants for some function spaces |
| title_fullStr | Korenblum constants for some function spaces |
| title_full_unstemmed | Korenblum constants for some function spaces |
| title_short | Korenblum constants for some function spaces |
| title_sort | korenblum constants for some function spaces |
| topic | Science::Mathematics Hardy Space Bergman Space |
| url | https://hdl.handle.net/10356/152023 |
| work_keys_str_mv | AT weejunjie korenblumconstantsforsomefunctionspaces AT khoilehai korenblumconstantsforsomefunctionspaces |