A generalization of the Carleson lemma and weighted norm inequalities for the maximal functions in the Orlicz setting

J. M. Tanoh Dje; Justin Feuto; Benoît F. Sehba

doi:10.1016/j.jmaa.2020.124248

A generalization of the Carleson lemma and weighted norm inequalities for the maximal functions in the Orlicz setting

J. M. Tanoh Dje, Justin Feuto, Benoît F. Sehba

Department of Mathematics

UFR Biosciences Université de Cocody

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

In this note we introduce the notion of Φ-Carleson sequence for Φ a convex growth function and provide an equivalent characterization that is an extension of the off-diagonal Carleson embedding lemma. We apply this result to obtain Sawyer-type characterization and two-weight norm estimates for some maximal functions between different Orlicz spaces.

Original language	English
Article number	124248
Journal	Journal of Mathematical Analysis and Applications
Volume	491
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2020.124248
Publication status	Published - 1 Nov 2020

Keywords

Carleson sequence
Maximal function
Weight

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10.1016/j.jmaa.2020.124248

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abstract = "In this note we introduce the notion of Φ-Carleson sequence for Φ a convex growth function and provide an equivalent characterization that is an extension of the off-diagonal Carleson embedding lemma. We apply this result to obtain Sawyer-type characterization and two-weight norm estimates for some maximal functions between different Orlicz spaces.",

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N2 - In this note we introduce the notion of Φ-Carleson sequence for Φ a convex growth function and provide an equivalent characterization that is an extension of the off-diagonal Carleson embedding lemma. We apply this result to obtain Sawyer-type characterization and two-weight norm estimates for some maximal functions between different Orlicz spaces.

AB - In this note we introduce the notion of Φ-Carleson sequence for Φ a convex growth function and provide an equivalent characterization that is an extension of the off-diagonal Carleson embedding lemma. We apply this result to obtain Sawyer-type characterization and two-weight norm estimates for some maximal functions between different Orlicz spaces.

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KW - Maximal function

KW - Weight

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M3 - Article

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A generalization of the Carleson lemma and weighted norm inequalities for the maximal functions in the Orlicz setting

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Keywords

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