Two-weight inequalities for multilinear maximal functions in Orlicz spaces

Jean Marcel Tanoh Dje; Benoît F. Sehba

doi:10.1007/s43037-023-00256-3

Two-weight inequalities for multilinear maximal functions in Orlicz spaces

Jean Marcel Tanoh Dje, Benoît F. Sehba

Department of Mathematics

Université Virtuelle de Côte d’Ivoire

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

1 Citation (Scopus)

Abstract

In this note, we provide various two-weight norm estimates of the multi-linear fractional maximal function and weighted maximal function between different Orlicz spaces. More precisely, we obtain Sawyer-type characterizations and norm estimates for these operators.

Original language	English
Article number	30
Journal	Banach Journal of Mathematical Analysis
Volume	17
Issue number	2
DOIs	https://doi.org/10.1007/s43037-023-00256-3
Publication status	Published - Apr 2023

Keywords

Carleson sequence
Dyadic grids
Maximal operator
Orlicz space
Weight

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10.1007/s43037-023-00256-3

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title = "Two-weight inequalities for multilinear maximal functions in Orlicz spaces",

abstract = "In this note, we provide various two-weight norm estimates of the multi-linear fractional maximal function and weighted maximal function between different Orlicz spaces. More precisely, we obtain Sawyer-type characterizations and norm estimates for these operators.",

keywords = "Carleson sequence, Dyadic grids, Maximal operator, Orlicz space, Weight",

author = "{Tanoh Dje}, {Jean Marcel} and Sehba, {Beno{\^i}t F.}",

note = "Publisher Copyright: {\textcopyright} 2023, Tusi Mathematical Research Group (TMRG).",

year = "2023",

month = apr,

doi = "10.1007/s43037-023-00256-3",

language = "English",

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T1 - Two-weight inequalities for multilinear maximal functions in Orlicz spaces

AU - Tanoh Dje, Jean Marcel

AU - Sehba, Benoît F.

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N2 - In this note, we provide various two-weight norm estimates of the multi-linear fractional maximal function and weighted maximal function between different Orlicz spaces. More precisely, we obtain Sawyer-type characterizations and norm estimates for these operators.

AB - In this note, we provide various two-weight norm estimates of the multi-linear fractional maximal function and weighted maximal function between different Orlicz spaces. More precisely, we obtain Sawyer-type characterizations and norm estimates for these operators.

KW - Carleson sequence

KW - Dyadic grids

KW - Maximal operator

KW - Orlicz space

KW - Weight

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U2 - 10.1007/s43037-023-00256-3

DO - 10.1007/s43037-023-00256-3

M3 - Article

AN - SCOPUS:85149960111

SN - 2662-2033

VL - 17

JO - Banach Journal of Mathematical Analysis

JF - Banach Journal of Mathematical Analysis

IS - 2

M1 - 30

ER -

Two-weight inequalities for multilinear maximal functions in Orlicz spaces

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Keywords

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