Multipliers in Bessel potential spaces. The case of different sign smooth indices

A. A. Belyaev, A. A. Shkalikov

The objective of this paper is to describe the space of multipliers acting from a Bessel potential space $H_p^s({\mathbb{R}}^n)$ into another space $H_q^{-t}({\mathbb{R}}^n)$, provided t…