21 / 12 / 2022 - 15:50 – 16:20

Samir H. Saker

Faculty Science, New Mansoura University,

Rubio De Francia Extrapolation Theorems in The Theory of B_p-Discrete Weights

Abstract

In this talk, I will present some discrete Rubio De Francia extrapolation theorems for nonincreasing sequences in the setting of the discrete B_p-weights. I also present some extensions to the discrete B_∞-weights. The proof of the results based on some fundamental properties of the discrete B_p-weights including the self-improving property. To the best of the authors’ knowledge the discrete extrapolation theorems in connection with B_p-weights are essentially new.