Manli Song

activity

20142026

most citedA functional calculus and restriction theorem on H-type groups

4 citations · 7 across the 10 of their papers we have counts for

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Showing 2022Show all

3 papers · 1 filter

math.FA2022★ 1 cited

Orthonormal Strichartz inequalities for the $(k, a)$ -generalized Laguerre operator and Dunkl operator

Shyam Swarup Mondal, Manli Song

Let $Δ_{k, a}$ and $Δ_{k}$ be the $(k, a)$ -generalized Laguerre operator and the Dunkl Laplacian operator on $R^{n}$ , respectively. The aim of this article is twofold. First, w…

math.FA2022

Restriction theorems and Strichartz inequalities for the Laguerre operator involving orthonormal functions

Guoxia Feng, Manli Song

In this paper, we prove restriction theorems for the Fourier-Laguerre transform and establish Strichartz estimates for the Schrödinger propagator $e^{- i t L_{α}}$ for the Laguerre oper…

math.AP2022

Decay estimates for a class of wave equations on the Heisenberg group

Manli Song, Jiale Yang

In this paper, we study a class of dispersive wave equations on the Heisenberg group $H^{n}$ . Based on the group Fourier transform on $H^{n}$ , the properties of the Laguerre functions…

Orthonormal Strichartz inequalities for the (k,a)-generalized Laguerre operator and Dunkl operator

Restriction theorems and Strichartz inequalities for the Laguerre operator involving orthonormal functions

Decay estimates for a class of wave equations on the Heisenberg group

Orthonormal Strichartz inequalities for the $(k, a)$ -generalized Laguerre operator and Dunkl operator