Ji Li

activity

20122022

most citedBoundedness of maximal functions on non-doubling manifolds with ends

6 citations · 12 across the 20 of their papers we have counts for

collaborators

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10 papers · 1 filter

math.AP2022

Dirichlet problem for Schrödinger operators on Heisenberg groups

Ji Li, Qingze Lin, Liang Song

We investigate the Dirichlet problem associated to the Schrödinger operator $L = - Δ_{H^{n}} + V$ on Heisenberg group $H^{n}$ : \begin{align*} \begin{cases} \partia…

math.AP2020

Quantitative weighted estimates for rough singular integrals on homogeneous groups

Zhijie Fan, Ji Li

In this paper, we study weighted $L^{p} (w)$ boundedness ( $1 < p < \infty$ and $w$ a Muckenhoupt $A_{p}$ weight) of singular integrals with homogeneous convolution kernel $K (x)$ on an a…

math.AP2019

BMO spaces associated to operators with generalised Poisson bounds on non-doubling manifolds with ends

Peng Chen, Xuan Thinh Duong, Ji Li +2

Consider a non-doubling manifold with ends $M = R^{n} ♯ R^{m}$ where $R^{n} = R^{n} \times S^{m - n}$ for $m > n \geq 3$ . We say that a…

math.AP2019

Weak type $(1, 1)$ bounds for Schrödinger groups

Peng Chen, Xuan Thinh Duong, Ji Li +2

Let $L$ be a non-negative self-adjoint operator acting on $L^{2} (X)$ where $X$ is a space of homogeneous type with a dimension $n$ . Suppose that the heat kernel of $L$ satisfies a Ga…

math.AP2019

Frame decomposition and radial maximal semigroup characterization of Hardy spaces associated to operators

Xuan Thinh Duong, Ji Li, Liang Song +1

Let $L$ be the generator of an analytic semigroup whose kernels satisfy Gaussian upper bounds and Hölder's continuity. Also assume that $L$ has a bounded holomorphic functional cal…

math.AP2018

On the boundary Strichartz estimates for wave and Schrödinger equations

Zihua Guo, Ji Li, Kenji Nakanishi +1

We consider the $L_{t}^{2} L_{x}^{r}$ estimates for the solutions to the wave and Schrödinger equations in high dimensions. For the homogeneous estimates, we show $L_{t}^{2} L_{x}^{\infty}$ estimate…

Dirichlet problem for Schrödinger operators on Heisenberg groups

Quantitative weighted estimates for rough singular integrals on homogeneous groups

BMO spaces associated to operators with generalised Poisson bounds on non-doubling manifolds with ends

Weak type (1,1) bounds for Schrödinger groups

Frame decomposition and radial maximal semigroup characterization of Hardy spaces associated to operators

On the boundary Strichartz estimates for wave and Schrödinger equations

Weak type $(1, 1)$ bounds for Schrödinger groups