Matrix operators involving the space bvkθ

Abstract

In this study, determining the β dual of the space of bvθk we characterize the matrix class ( bvθk, bv ) , where θ is a sequence of positive numbers and bvθk = { x ∈ w : ( θ ∗ v Δxv ) ∈ k } for 1/k + 1/k∗ = 1 (1 < k < ∞).