关于整函数加权空间之间的包含关系
复变函数
2024-01-24 v2 泛函分析
摘要
我们用定义权或权系统刻画整函数的加权类之间的包含关系。首先我们处理基于所谓关联权函数的权，其中权（系统）基于给定序列。随后通过使用所谓关联权序列，将抽象权函数情形归约为权序列设定。作为主结论的应用，我们刻画了这些类在逐点乘法下的闭包性。
引用
@article{arxiv.2211.14374,
title = {On inclusion relations between weighted spaces of entire functions},
author = {Gerhard Schindl},
journal= {arXiv preprint arXiv:2211.14374},
year = {2024}
}
备注
38 pages; this version is published in Bull. Sci. Math. The first submission has been split into two parts: The first one is this recent version; the second part "On strong growth conditions for weighted spaces of entire functions" contains in the appendix corrections of the gap in the proofs of Prop. 4.7 & 4.12, and Cor. 4.14