A short note about the spaces $B{V}^s({\mathbb{R}}^n)$

Abstract

In this short communication we answer negatively to a question posed by the authors in their work \cite[Section 1.4]{Brue2022} about the complex interpolation nature of the spaces $B{V}^s({\mathbb{R}}^n)$, introduced by G.E. Comi and G. Stefani in \cite{ComiStefani2019}.