THEORY OF DISCRETE MUCKENHOUPT WEIGHTS AND DISCRETE RUBIO DE FRANCIA EXTRAPOLATION THEOREMS

THEORY OF DISCRETE MUCKENHOUPT WEIGHTS AND DISCRETE RUBIO DE FRANCIA EXTRAPOLATION THEOREMS

In this paper, we will prove a discrete Rubio De Francia extrapolation theorem in the theory of discrete A p – Muckenhoupt weights for which the discrete Hardy-Littlewood maximal operator is bounded on l ω p ( Z + ) . The results will be proved by employing the self-improving property of the discret...

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Veröffentlicht in:Applicable analysis and discrete mathematics 2021-10, Vol.15 (2), p.295-316
Hauptverfasser: Saker, S. H., Agarwal, R. P.
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, we will prove a discrete Rubio De Francia extrapolation theorem in the theory of discrete A p – Muckenhoupt weights for which the discrete Hardy-Littlewood maximal operator is bounded on l ω p ( Z + ) . The results will be proved by employing the self-improving property of the discrete A p – Muckenhoupt weights and the Marcinkiewicz Interpolation Theorem.
ISSN:1452-8630
2406-100X
DOI:10.2298/AADM210120017S