Abstract

We investigate the regularity of the set of all products \(f\cdot g\) for \(f\) and \(g\) belonging to certain Nikol’skii–Besov spaces. The special situation we are interested in has been left open in earlier contributions. It represents a limiting situation. We list a number of positive and negative results, both in the inhomogeneous and in the homogeneous situation.

中文翻译：

---

关于Nikol'skii-Besov空间中的点向乘法的极限情况

摘要

我们调查组的所有产品的规律\（F \ CDOT g ^ \）的\（F \）和\（G \）属于某些Nikol'skii-Besov空间。我们感兴趣的特殊情况已经在早期的贡献中公开了。它代表了一种局限性的情况。我们列出了在不均匀和同质情况下的一些正面和负面结果。