Weak-type endpoint bounds for Bochner–Riesz means for the Hermite operator
We obtain weak-type $(p, p)$ endpoint bounds for Bochner–Riesz means for the Hermite operator $H = -\Delta + |x|^2$ in ${\mathbb{R}}^n, n\ge 2$ and for other related operators, for $1\le p\le 2n/(n+2)$, extending earlier results of Thangavelu and of Karadzhov.
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Académie des sciences
2022-02-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.265/ |
| _version_ | 1797651466769399808 |
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| author | Chen, Peng Li, Ji Ward, Lesley Yan, Lixin |
| author_facet | Chen, Peng Li, Ji Ward, Lesley Yan, Lixin |
| author_sort | Chen, Peng |
| collection | DOAJ |
| description | We obtain weak-type $(p, p)$ endpoint bounds for Bochner–Riesz means for the Hermite operator $H = -\Delta + |x|^2$ in ${\mathbb{R}}^n, n\ge 2$ and for other related operators, for $1\le p\le 2n/(n+2)$, extending earlier results of Thangavelu and of Karadzhov. |
| first_indexed | 2024-03-11T16:16:09Z |
| format | Article |
| id | doaj.art-516bfa9bb7a043f2bb498a27aaf4e5fa |
| institution | Directory Open Access Journal |
| issn | 1778-3569 |
| language | English |
| last_indexed | 2024-03-11T16:16:09Z |
| publishDate | 2022-02-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj.art-516bfa9bb7a043f2bb498a27aaf4e5fa2023-10-24T14:19:41ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692022-02-01360G211112610.5802/crmath.26510.5802/crmath.265Weak-type endpoint bounds for Bochner–Riesz means for the Hermite operatorChen, Peng0Li, Ji1https://orcid.org/0000-0003-0995-3054Ward, Lesley2Yan, Lixin3Department of Mathematics, Sun Yat-sen University, Guangzhou, 510275, P.R. China; School of Information Technology and Mathematical Sciences, University of South Australia, Mawson Lakes SA 5095, AustraliaDepartment of Mathematics, Macquarie University, NSW 2109, AustraliaSchool of Information Technology and Mathematical Sciences, University of South Australia, Mawson Lakes SA 5095, AustraliaDepartment of Mathematics, Sun Yat-sen University, Guangzhou, 510275, P.R. ChinaWe obtain weak-type $(p, p)$ endpoint bounds for Bochner–Riesz means for the Hermite operator $H = -\Delta + |x|^2$ in ${\mathbb{R}}^n, n\ge 2$ and for other related operators, for $1\le p\le 2n/(n+2)$, extending earlier results of Thangavelu and of Karadzhov.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.265/ |
| spellingShingle | Chen, Peng Li, Ji Ward, Lesley Yan, Lixin Weak-type endpoint bounds for Bochner–Riesz means for the Hermite operator Comptes Rendus. Mathématique |
| title | Weak-type endpoint bounds for Bochner–Riesz means for the Hermite operator |
| title_full | Weak-type endpoint bounds for Bochner–Riesz means for the Hermite operator |
| title_fullStr | Weak-type endpoint bounds for Bochner–Riesz means for the Hermite operator |
| title_full_unstemmed | Weak-type endpoint bounds for Bochner–Riesz means for the Hermite operator |
| title_short | Weak-type endpoint bounds for Bochner–Riesz means for the Hermite operator |
| title_sort | weak type endpoint bounds for bochner riesz means for the hermite operator |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.265/ |
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