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

Abstract

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

arXiv comment3 pages