Operator-valued Fourier multipliers on periodic Besov spaces

Bienvenido Barraza Martínez, Ivan González Martínez, Jairo Hernández Monzón

We prove in this paper that a sequence $M:{\mathbb{Z}}^n\to \mathcal{L}(E)$ of bounded variation is a Fourier multiplier on the Besov space $B_{p,q}^s({\mathbb{T}}^n,E)$ for $s\in…