发表机构
Universität Wien（维也纳大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文在权序列设定下，研究解析函数加权空间上的微分与积分算子，利用该结构构造反例、比较权条件并明确权的增长限制。
AI 中文摘要
我们研究分别定义在解析函数加权空间上、以及在这些空间之间的微分与积分算子，此时权由权序列给出的特殊情形。更准确地说，该情形下的权通过关联权函数定义，而关联权函数是超可微设定中的关键对象，相关信息可完全由底层权序列表达。利用该额外结构，我们得以构造（反）例、比较不同加权框架下的权条件，并以更精确的定性方式研究和理解权所需及容许的增长限制。
英文摘要
We investigate the differentiation and integration operator defined on resp. between weighted spaces of analytic functions in the special situation when the weight is given in terms of a weight sequence. More precisely, in this case the weight is defined via the associated weight function which is a crucial object in the ultradifferentiable setting and the information can be then expressed purely in terms of the underlying weight sequence. Due to the additional structure this setting is exploited in order to construct (counter-)examples, to compare conditions on weights in the different weighted frameworks, and to study and to understand in a more precise qualitative way required and admissible growth restrictions on the weights.
Comments36 pages
