Manli Song

collaborators

3 papers

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…

math.AP2016

Weighted Caffarelli-Kohn-Nirenberg type inequalities related to Grushin type operators

Manli Song, Wenjuan Li

We consider the Grushin type operator on $R_{x}^{d} \times R_{y}^{k}$ with the form \begin{equation*} G_μ=\overset{d}{\underset{i=1}{\sum}}\partial_{x_i}^2+\left(\ove…