Strichartz Estimates for the (, )-Generalized Laguerre Operators

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2025
• Main Authors: Taira, Kouichi, Tamori, Hiroyoshi
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2025
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/212877
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Strichartz Estimates for the (, )-Generalized Laguerre Operators. Kouichi Taira and Hiroyoshi Tamori. SIGMA 21 (2025), 014, 37 pages

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...