Weak-type endpoint bounds for Bochner-Riesz means for the Hermite operator

Peng Chen; Ji Li; Lesley Ward; Lixin Yan

doi:10.5802/crmath.265

Weak-type endpoint bounds for Bochner-Riesz means for the Hermite operator

Peng Chen, Ji Li, Lesley Ward, Lixin Yan

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Abstract

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

Original language	English
Pages (from-to)	111-126
Number of pages	16
Journal	Comptes Rendus Mathematique
Volume	360
DOIs	https://doi.org/10.5802/crmath.265
Publication status	Published - 1 May 2022

Bibliographical note

© Académie des sciences, Paris and the authors, 2022. Some rights reserved. Version archived for private and non-commercial use with the permission of the author/s and according to publisher conditions. For further rights please contact the publisher.

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10.5802/crmath.265Licence: CC BY

Publisher version (open access)Final published version, 665 KBLicence: CC BY

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title = "Weak-type endpoint bounds for Bochner-Riesz means for the Hermite operator",

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

author = "Peng Chen and Ji Li and Lesley Ward and Lixin Yan",

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AU - Chen, Peng

AU - Li, Ji

AU - Ward, Lesley

AU - Yan, Lixin

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PY - 2022/5/1

Y1 - 2022/5/1

N2 - We obtain weak-type (p,p) endpoint bounds for Bochner–Riesz means for the Hermite operator H = −∆ + |x|2 in Rn ,n ≥ 2 and for other related operators, for 1 ≤ p ≤ 2n/(n + 2), extending earlier results of Thangavelu and of Karadzhov.

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

UR - http://purl.org/au-research/grants/arc/DP220100285

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SP - 111

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JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

ER -

Weak-type endpoint bounds for Bochner-Riesz means for the Hermite operator

Abstract

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DP22: Harmonic analysis of Laplacians in curved spaces

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Weak-type endpoint bounds for Bochner-Riesz means for the Hermite operator

Abstract

Bibliographical note

Access to Document

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Projects

DP22: Harmonic analysis of Laplacians in curved spaces

Cite this