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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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2025 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2025
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| Онлайн доступ: | 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 |
| Цитувати: | Strichartz Estimates for the (, )-Generalized Laguerre Operators. Kouichi Taira and Hiroyoshi Tamori. SIGMA 21 (2025), 014, 37 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | 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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| ISSN: | 1815-0659 |