Norm On The Variable Mixed Space ${\mathrm{\ell }}^{q(\cdot )}(L^{p(\cdot )})$

This paper aims to establish the norm properties of the variable mixed space ${\mathrm{\ell }}^{q(\cdot )}(L^{p(\cdot )})$ when $1<q_{-},p_{-},q_{+},p_{+}<\mathrm{\infty }$. In this way, we address the open problem raised by Almeida and Hästö.