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Weighted weak-type iterated Hardy-Copson inequalities - MaRDI portal

Weighted weak-type iterated Hardy-Copson inequalities (Q6607800)

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scientific article; zbMATH DE number 7915687
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Weighted weak-type iterated Hardy-Copson inequalities
scientific article; zbMATH DE number 7915687

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    Weighted weak-type iterated Hardy-Copson inequalities (English)
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    19 September 2024
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    Certain weighted weak-type iterated Hardy inequalities have been characterized by the authors in \textit{V. García García} and \textit{P. Ortega Salvador} [J. Math. Anal. Appl. 525, No. 2, Article ID 127284, 15 p. (2023; Zbl 1547.26030)] and \textit{V. García García} and \textit{P. Ortega Salvador} [Ann. Funct. Anal. 15, No. 2, Paper No. 26, 27 p. (2024; Zbl 07825640) Article no. 26]. That work represents a natural extension of the theory of weighted strong-type iterated Hardy inequalities that has been developed in last years. In this paper the authors characterize some weighted weak-type iterated Hardy-Copson inequalities. They characterize the suitable weights for which these inequalities hold. In the proofs of the theorems the classical results on weighted strong-type inequalities for the Copson operator are used.
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    iterated Hardy inequality
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    weighted weak-type inequality
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    weighted inequality
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    weight
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