Bulletin of the Malaysian Mathematical Sciences Society, cilt.43, sa.3, ss.2701-2712, 2020 (SCI-Expanded)
In this study, as the domain of four-dimensional backward difference matrix in the space Lu(t) , we introduce the complete paranormed space BV(t) of bounded variation double sequences and examine some properties of that space. Also, we determine the γ-dual and β(ϑ) -dual of the space BV(t). Finally, we characterize the classes (BV(t) : Mu) , (BV(t) : Cϑ) and (Lu(t) : μ) with μ∈ { BS, CSϑ, Mu(Δ) , Cϑ(Δ) } , where Mu(Δ) and Cϑ(Δ) denote the spaces of all double sequences whose Δ -transforms are in the spaces Mu and Cϑ, respectively.