Strichartz Estimates for the (, )-Generalized Laguerre Operators
In this paper, we prove Strichartz estimates for the (, )-generalized Laguerre operators ⁻¹(−||²⁻ᵃ Δₖ + ||ᵃ) which were introduced by Ben Saïd-Kobayashi-Ørsted, and for the operators ||²⁻ᵃ Δₖ. Here k denotes a non-negative multiplicity function for the Dunkl Laplacian Δₖ, and denotes a positive rea...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2025 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2025
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/212877 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Strichartz Estimates for the (, )-Generalized Laguerre Operators. Kouichi Taira and Hiroyoshi Tamori. SIGMA 21 (2025), 014, 37 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862536165620449280 |
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| author | Taira, Kouichi Tamori, Hiroyoshi |
| author_facet | Taira, Kouichi Tamori, Hiroyoshi |
| citation_txt | Strichartz Estimates for the (, )-Generalized Laguerre Operators. Kouichi Taira and Hiroyoshi Tamori. SIGMA 21 (2025), 014, 37 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | In this paper, we prove Strichartz estimates for the (, )-generalized Laguerre operators ⁻¹(−||²⁻ᵃ Δₖ + ||ᵃ) which were introduced by Ben Saïd-Kobayashi-Ørsted, and for the operators ||²⁻ᵃ Δₖ. Here k denotes a non-negative multiplicity function for the Dunkl Laplacian Δₖ, and denotes a positive real number satisfying certain conditions. The cases = 1, 2 were studied previously. We consider more general cases here. The proof depends on symbol-type estimates of special functions and a discrete analog of the stationary phase theorem inspired by the work of Ionescu-Jerison.
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| first_indexed | 2026-03-21T11:38:30Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-212877 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-21T11:38:30Z |
| publishDate | 2025 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Taira, Kouichi Tamori, Hiroyoshi 2026-02-13T13:49:30Z 2025 Strichartz Estimates for the (, )-Generalized Laguerre Operators. Kouichi Taira and Hiroyoshi Tamori. SIGMA 21 (2025), 014, 37 pages 1815-0659 2020 Mathematics Subject Classification: 35Q41; 22E45 arXiv:2308.16815 https://nasplib.isofts.kiev.ua/handle/123456789/212877 https://doi.org/10.3842/SIGMA.2025.014 In this paper, we prove Strichartz estimates for the (, )-generalized Laguerre operators ⁻¹(−||²⁻ᵃ Δₖ + ||ᵃ) which were introduced by Ben Saïd-Kobayashi-Ørsted, and for the operators ||²⁻ᵃ Δₖ. Here k denotes a non-negative multiplicity function for the Dunkl Laplacian Δₖ, and denotes a positive real number satisfying certain conditions. The cases = 1, 2 were studied previously. We consider more general cases here. The proof depends on symbol-type estimates of special functions and a discrete analog of the stationary phase theorem inspired by the work of Ionescu-Jerison. KT was supported by JSPS KAKENHI Grant Number 23K13004, and HT was supported by JSPS KAKENHI Grant Numbers 20J00024 and 23K12947. HT is grateful to Toshiyuki Kobayashi for helpful comments. The authors would like to appreciate Hatem Mejjaoli for letting us know the papers [3, 24]. The authors would like to thank the anonymous referees for their valuable suggestions and improvements. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Strichartz Estimates for the (, )-Generalized Laguerre Operators Article published earlier |
| spellingShingle | Strichartz Estimates for the (, )-Generalized Laguerre Operators Taira, Kouichi Tamori, Hiroyoshi |
| title | Strichartz Estimates for the (, )-Generalized Laguerre Operators |
| title_full | Strichartz Estimates for the (, )-Generalized Laguerre Operators |
| title_fullStr | Strichartz Estimates for the (, )-Generalized Laguerre Operators |
| title_full_unstemmed | Strichartz Estimates for the (, )-Generalized Laguerre Operators |
| title_short | Strichartz Estimates for the (, )-Generalized Laguerre Operators |
| title_sort | strichartz estimates for the (, )-generalized laguerre operators |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/212877 |
| work_keys_str_mv | AT tairakouichi strichartzestimatesforthegeneralizedlaguerreoperators AT tamorihiroyoshi strichartzestimatesforthegeneralizedlaguerreoperators |