Linear isometric invariants of bounded domains
- Авторы: Ден Ф.1, Ning J.2, Wang Z.3, Чжоу Щ.4,5,1
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Учреждения:
- School of Mathematical Sciences, University of the Chinese Academy of Sciences
- Central South University, Changsha
- Beijing Normal University
- Academy of Mathematics and Systems Science, Chinese Academy of Sciences
- Лаборатория Математики имени Хуа Ло-Кена, Китайская Академия Наук
- Выпуск: Том 88, № 4 (2024)
- Страницы: 31-43
- Раздел: Статьи
- URL: https://bakhtiniada.ru/1607-0046/article/view/261163
- DOI: https://doi.org/10.4213/im9542
- ID: 261163
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Аннотация
We introduce two new conditions for bounded domains, namely $A^p$-completeness and boundary blow down type, and show that, for two bounded domains $D_1$ and $D_2$ that are $A^p$-complete and not of boundary blow down type, if there exists a linear isometry from $A^p(D_1)$ to $A^{p}(D_2)$ for some real number $p>0$ with $p\neq $ even integers, then $D_1$ and $D_2$ must be holomorphically equivalent, where, for a domain $D$, $A^p(D)$ denotes the space of $L^p$ holomorphic functions on $D$.Bibliography: 13 titles.
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Об авторах
Фу-Шен Ден
School of Mathematical Sciences, University of the Chinese Academy of Sciences
Jiafu Ning
Central South University, Changsha
Zhiwei Wang
Beijing Normal University
Щаньюй Чжоу
Academy of Mathematics and Systems Science, Chinese Academy of Sciences; Лаборатория Математики имени Хуа Ло-Кена, Китайская Академия Наук; School of Mathematical Sciences, University of the Chinese Academy of Sciences
Email: xyzhou@math.ac.cn
PhD
Список литературы
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