论文标题

勒布斯格空间中的规范等效性的另一种定理

One more theorem on norm equivalence in the Lebesgue space

论文作者

Kukushkin, Maksim V.

论文摘要

在本文中,我们考虑了基于移位半群的无限发电机沿方向的规范。这种焦点的相关性是通过相应的无限发生器的组成来保证了分数差异差异操作员的抽象表示。本文的主要结果是在功能空间中建立标准的定理。即使没有提及该结果与构造理论的相关性,我们也声称应该将其视为自己。

In this paper we consider a norm based on the infinitesimal generator of the shift semigroup in a direction. The relevance of such a focus is guaranteed by an abstract representation of a fractional integro-differential operator by means of a composition of the corresponding infinitesimal generator. The main result of the paper is a theorem establishing equivalence of norms in functional spaces. Even without mentioning the relevance of this result for the constructed theory, we claim it deserves to be considered itself.

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