On the reflexivity of the spaces of variable integrability and summability

Arash Ghorbanalizadeh, Reza Roohi Seraji, Yoshihiro Sawano

In this paper, we show that under the condition $1<p_{-},q_{-},p_{+},q_{+}<\infty$, the space ${\ell }^{q(\cdot )}(L^{p(\cdot )})$ is reflexive. In this way we give an answer to open probl…