Zhijie Fan

activity

20182022

collaborators

7 papers

math.FA2022

Besov Space, Schatten Classes And Commutators Of Riesz Transforms Associated With The Neumann Laplacian

Zhijie Fan, Michael Lacey, Ji Li +2

This article provides a deeper study of the Riesz transform commutators associated with the Neumann Laplacian operator $Δ_{N}$ on $R^{n}$ . Along the line of singular value esti…

math.FA2021

Schatten classes and commutators of Riesz transform on Heisenberg group and applications

Zhijie Fan, Michael Lacey, Ji Li

We study commutators with the Riesz transforms on the Heisenberg group. The Schatten norm of these commutators is characterized in terms of Besov norms of the symbol. This generali…

cond-mat.str-el2021

Honeycomb-lattice Gamma model in a magnetic field: hidden Néel order and spin-flop transition

Zhongzheng Tian, Zhijie Fan, Preetha Saha +1

We show that a magnetic field in the high-symmetry direction lifts the macroscopic classical ground-state degeneracy of the honeycomb $Γ$ model and induces a long-range magnetic or…

cond-mat.str-el2021

Anomalous and Anisotropic Nonlinear Susceptibility in the Proximate Kitaev Magnet $α$ -RuCl $_{3}$

Ludwig Holleis, Joseph Prestigiacomo, Zhijie Fan +5

The leading order nonlinear (NL) susceptibility, $χ_{3}$ , in a paramagnet is negative and diverges as $T \to 0$ . This divergence is destroyed when spins correlate and the NL…

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