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 nonincreasing sequences in the setting of the discrete Bp-weights. We also present some extensions to the discrete B?-weights. The proof of the results based on the boundedness of the discrete Hardy operator and t...

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Veröffentlicht in:Filomat 2024, Vol.38 (1), p.147-169
Hauptverfasser: Saker, Samir, Agarwal, Ravi
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description In this paper, we will prove some discrete Rubio De Francia extrapolation theorems for nonincreasing sequences in the setting of the discrete Bp-weights. We also present some extensions to the discrete B?-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.
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title Discrete Rubio De Francia extrapolation theorems in the theory of Bp−discrete weights
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