论文标题
根据相关的权重功能定义的固体船体和加权整个功能类别的核心
Solid hulls and cores of classes of weighted entire functions defined in terms of associated weight functions
论文作者
论文摘要
本着J. Bonet，W。Lusky和J. Taskinen的最新文章的精神，我们正在研究当重量功能来自重量序列的相关重量功能方面，当重量的重量功能给出了所谓的整个功能空间的所谓实心船体和核心。这些序列需要满足某些（标准）的生长和规律性特性，这些特性经常出现并用于超平稳性和超质形性功能类别（其中相关的重量函数也起着显着的作用）。多亏了这些其他信息，我们能够看到所谓的“ lusky-numbers”的增长行为，在坚实的船体和核心的表示中产生，必须满足resp。如果可以存在这样的数字。
In the spirit of very recent articles by J. Bonet, W. Lusky and J. Taskinen we are studying the so-called solid hulls and cores of spaces of weighted entire functions when the weights are given in terms of associated weight functions coming from weight sequences. These sequences are required to satisfy certain (standard) growth and regularity properties which are frequently arising and used in the theory of ultradifferentiable and ultraholomorphic function classes (where also the associated weight function plays a prominent role). Thanks to this additional information we are able to see which growth behavior the so-called "Lusky-numbers", arising in the representations of the solid hulls and cores, have to satisfy resp. if such numbers can exist.
