Comptes Rendus
Harmonic analysis
Weak-type endpoint bounds for Bochner–Riesz means for the Hermite operator
Comptes Rendus. Mathématique, Volume 360 (2022), pp. 111-126.

We obtain weak-type (p,p) endpoint bounds for Bochner–Riesz means for the Hermite operator H=-Δ+|x| 2 in n ,n2 and for other related operators, for 1p2n/(n+2), extending earlier results of Thangavelu and of Karadzhov.

Received:
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DOI: 10.5802/crmath.265
Classification: 42B15, 42B08, 42C10

Peng Chen 1, 2; Ji Li 3; Lesley Ward 2; Lixin Yan 1

1 Department of Mathematics, Sun Yat-sen University, Guangzhou, 510275, P.R. China
2 School of Information Technology and Mathematical Sciences, University of South Australia, Mawson Lakes SA 5095, Australia
3 Department of Mathematics, Macquarie University, NSW 2109, Australia
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights
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     title = {Weak-type endpoint bounds for {Bochner{\textendash}Riesz} means for the {Hermite} operator},
     journal = {Comptes Rendus. Math\'ematique},
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Peng Chen; Ji Li; Lesley Ward; Lixin Yan. Weak-type endpoint bounds for Bochner–Riesz means for the Hermite operator. Comptes Rendus. Mathématique, Volume 360 (2022), pp. 111-126. doi : 10.5802/crmath.265. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.265/

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