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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5 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.FA2016

Decay estimates for fractional wave equations on H-type groups

Manli Song

The aim of this paper is to establish the decay estimate for the fractional wave equation semigroup on H-type groups given by $e^{i t Δ^{α}}$ , $0 < α < 1$ . Combing the dispersive estimate…

math.FA2014★ 4 cited

A functional calculus and restriction theorem on H-type groups

Heping Liu, Manli Song

Let $L$ be the sublaplacian and $T$ the partial Laplacian with respect to central variables on H-type groups. We investigate a class of invariant differential operators by the join…

math.FA2014★ 2 cited

The restriction theorem for the Grushin operators