Discrete Rubio De Francia extrapolation theorems in the theory of Bp-discrete weights

In this paper, we will prove some discrete Rubio De Francia extrapolation theorems for non-increasing sequences in the setting of the discrete Bp-weights. We also present some extensions to the discrete B infinity-weights. The proof of the results based on the boundedness of the discrete Hardy operator and the self-improving property of the discrete Bp weights. To the best of the authors' knowledge the discrete extrapolation theorems in connection with Bp-weights are essentially new.