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Restriction theorems and Strichartz inequalities for the Laguerre operator involving orthonormal functions
Guoxia Feng, Manli Song
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In this paper, we prove restriction theorems for the Fourier-Laguerre transform and establish Strichartz estimates for the Schr\"{o}dinger propagator e^(-itL_α) for the Laguerre operator L_α=-Δ-∑ⱼ₌₁ⁿ(2αⱼ+1xⱼ∂∂xⱼ)+|x|²4, α=(α₁,α₂,⋯,αₙ)∈(-1/2,∞)ⁿ on ℝ_+ⁿ involving systems of orthonormal functions.
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