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# Weighted estimates for the multisublinear maximal function

A formulation of the Carleson embedding theorem in the multilinear setting is proved which allows obtaining a multilinear analogue of Sawyer’s two weight theorem for the multisublinear maximal function $$\mathcal{M }$$ M introduced by Lerner et al. (Adv Math 220:1222–1264, 2009). A multilinear versi... Full description

 Journal Title: Rendiconti del Circolo Matematico di Palermo 2013, Vol.62(3), pp.379-391 Main Author: Chen, Wei Other Authors: Damián, Wendolín Format: Electronic Article Language: English Subjects: ID: ISSN: 0009-725X ; E-ISSN: 1973-4409 ; DOI: 10.1007/s12215-013-0131-9 Link: http://dx.doi.org/10.1007/s12215-013-0131-9 Zum Text:
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 recordid: springer_jour10.1007/s12215-013-0131-9 title: Weighted estimates for the multisublinear maximal function format: Article creator: Chen, Wei Damián, Wendolín subjects: Multilinear harmonic analysis Multilinear maximal function Weighted norm inequalities Calderón–Zygmund theory Sawyer’s theorem Reverse Hölder inequality ispartof: Rendiconti del Circolo Matematico di Palermo, 2013, Vol.62(3), pp.379-391 description: A formulation of the Carleson embedding theorem in the multilinear setting is proved which allows obtaining a multilinear analogue of Sawyer’s two weight theorem for the multisublinear maximal function $$\mathcal{M }$$ M introduced by Lerner et al. (Adv Math 220:1222–1264, 2009). A multilinear version of the $$B_p$$ B p theorem from Hytönen and Pérez (Anal PDE, 2013) is also obtained and a mixed $$A_{\overrightarrow{ P}}-W_{\overrightarrow{ P}}^{\infty }$$ A P → - W P → ∞ bound for $$\mathcal{M }$$ M is proved as well. language: eng source: identifier: ISSN: 0009-725X ; E-ISSN: 1973-4409 ; DOI: 10.1007/s12215-013-0131-9 fulltext: fulltext issn: 1973-4409 19734409 0009-725X 0009725X url: Link

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titleWeighted estimates for the multisublinear maximal function
creatorChen, Wei ; Damián, Wendolín
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subjectMultilinear harmonic analysis ; Multilinear maximal function ; Weighted norm inequalities ; Calderón–Zygmund theory ; Sawyer’s theorem ; Reverse Hölder inequality
descriptionA formulation of the Carleson embedding theorem in the multilinear setting is proved which allows obtaining a multilinear analogue of Sawyer’s two weight theorem for the multisublinear maximal function $$\mathcal{M }$$ M introduced by Lerner et al. (Adv Math 220:1222–1264, 2009). A multilinear version of the $$B_p$$ B p theorem from Hytönen and Pérez (Anal PDE, 2013) is also obtained and a mixed $$A_{\overrightarrow{ P}}-W_{\overrightarrow{ P}}^{\infty }$$ A P → - W P → ∞ bound for $$\mathcal{M }$$ M is proved as well.
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 0 Chen, Wei 1 Damián, Wendolín
titleWeighted estimates for the multisublinear maximal function
descriptionA formulation of the Carleson embedding theorem in the multilinear setting is proved which allows obtaining a multilinear analogue of Sawyer’s two weight theorem for the multisublinear maximal function $$\mathcal{M }$$ M introduced by Lerner et al. (Adv Math 220:1222–1264, 2009). A multilinear version of the $$B_p$$ B p theorem from Hytönen and Pérez (Anal PDE, 2013) is also obtained and a mixed $$A_{\overrightarrow{ P}}-W_{\overrightarrow{ P}}^{\infty }$$ A P → - W P → ∞ bound for $$\mathcal{M }$$ M is proved as well.
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 0 Multilinear harmonic analysis 1 Multilinear maximal function 2 Weighted norm inequalities 3 Calderón–Zygmund theory 4 Sawyer’s theorem 5 Reverse Hölder inequality
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 0 Multilinear Harmonic Analysis 1 Multilinear Maximal Function 2 Weighted Norm Inequalities 3 Calderón–Zygmund Theory 4 Sawyer’s Theorem 5 Reverse Hölder Inequality
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abstractA formulation of the Carleson embedding theorem in the multilinear setting is proved which allows obtaining a multilinear analogue of Sawyer’s two weight theorem for the multisublinear maximal function $$\mathcal{M }$$ M introduced by Lerner et al. (Adv Math 220:1222–1264, 2009). A multilinear version of the $$B_p$$ B p theorem from Hytönen and Pérez (Anal PDE, 2013) is also obtained and a mixed $$A_{\overrightarrow{ P}}-W_{\overrightarrow{ P}}^{\infty }$$ A P → - W P → ∞ bound for $$\mathcal{M }$$ M is proved as well.
copMilan
pubSpringer Milan
doi10.1007/s12215-013-0131-9
pages379-391
date2013-12