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

Université de Cocody Abidjan

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

Cite this

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

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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AU - Tanoh Dje, J. M.

AU - Feuto, Justin

AU - Sehba, Benoît F.

PY - 2020/11/1

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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.

KW - Carleson sequence

KW - Maximal function

KW - Weight

UR - https://www.scopus.com/pages/publications/85085318128

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DO - 10.1016/j.jmaa.2020.124248

M3 - Article

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JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

M1 - 124248

ER -

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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