Pointwise Multipliers for Besov Spaces of Dominating Mixed Smoothness - II

Abstract

We continue our investigations on pointwise multipliers for Besov spaces of dominating mixed smoothness. This time we study the algebra property of the classes $S_{p,q}^{r}B({\mathbb{R}}^d)$ with respect to pointwise multiplication. In addition if $p\le q$, we are able to describe the space of all pointwise multipliers for $S_{p,q}^{r}B({\mathbb{R}}^d)$.

arXiv comment29 pages. arXiv admin note: text overlap with arXiv:1608.03414