论文标题

关于整个功能加权空间之间的包容关系

On inclusion relations between weighted spaces of entire functions

论文作者

Schindl, Gerhard

论文摘要

我们根据定义权重的措施来表征整个功能的加权类别的包含。重量系统。首先,我们根据所谓的相关权重函数来处理定义的权重,其中权重(系统)基于给定的序列。然后,通过使用所谓的相关权重序列将抽象的权重函数案例降低为重量序列设置。作为主要语句的应用,我们表征了这些类别的重点乘法下的封闭性。

We characterize the inclusions of weighted classes of entire functions in terms of the defining weights resp. weight systems. First we treat weights defined in terms of a so-called associated weight function where the weight(system) is based on a given sequence. The abstract weight function case is then reduced to the weight sequence setting by using the so-called associated weight sequence. As an application of the main statements we characterize closedness under point-wise multiplication of these classes.

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