A linear operator bounded in all Besov but not in Triebel-Lizorkin spaces

Liding Yao

We construct a linear operator $T:{\mathcal{S}}^{\prime }({\mathbb{R}}^n)\to {\mathcal{S}}^{\prime }({\mathbb{R}}^n)$ such that $T:{\mathcal{B}}_{pq}^s({\mathbb{R}}^n)\to {\mathcal{B}}_{pq}^s({\mathbb{R}}^n)$ for all $0<p,q…