Zhijie Fan

activity

20182023

most citedClock Factorized Quantum Monte Carlo Method for Long-range Interacting Systems

3 citations · 4 across the 8 of their papers we have counts for

collaborators

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3 papers · 1 filter

math.AP2023

Sharp endpoint $L_{p}$ estimates of quantum Schrödinger groups

Zhijie Fan, Guixiang Hong, Liang Wang

In this article, we establish sharp endpoint $L_{p}$ estimates of Schrödinger groups on general measure spaces which may not be equipped with good metrics but admit submarkovian semi…

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.AP2020

Weak type $(p, p)$ bounds for Schrödinger groups via generalized Gaussian estimates

Zhijie Fan

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 operator $e^{- t L}$ satisfie…

Sharp endpoint Lp​ estimates of quantum Schrödinger groups

Quantitative weighted estimates for rough singular integrals on homogeneous groups

Weak type (p,p) bounds for Schrödinger groups via generalized Gaussian estimates

Sharp endpoint $L_{p}$ estimates of quantum Schrödinger groups

Weak type $(p, p)$ bounds for Schrödinger groups via generalized Gaussian estimates