Domain of the generalized double Cesàro matrix in some paranormed spaces of double sequences

Abstract

In this paper, we investigate some double paranormed sequence spaces which are domain of the double generalized Cesàro matrix $R^q$ in some double sequence spaces. We also determined of $\alpha-$dual of $\mathcal{R}_{u}(t)$ which is the space of double sequences whose $R^q-$transforms are bounded and examined some linear and topological properties of these sequence spaces.