Convolution inequalities for Besov and Triebel--Lizorkin spaces, and applications to convolution semigroups

Franziska Kühn, René L. Schilling

We establish convolution inequalities for Besov spaces $B_{p,q}^s$ and Triebel--Lizorkin spaces $F_{p,q}^s$. As an application, we study the mapping properties of convolution semig…