Xiangrong Zhu

collaborators

2 papers

math.CA2022

Some notes on endpoint estimates for pseudo-differential operators

Jingwei Guo, Xiangrong Zhu

We study the pseudo-differential operator \begin{equation*} T_a f\left(x\right)=\int_{\mathbb{R}^n}e^{ix\cdotξ}a\left(x,ξ\right)\widehat{f}\left(ξ\right)\,\textrm{d}ξ, \end{equatio…

math.DG2012

Energy identity for the maps from a surface with tension field bounded in $L^{p}$

Li Jiayu, Zhu Xiangrong

Let $M$ be a closed Riemannian surface and $u_{n}$ a sequence of maps from $M$ to Riemannian manifold $N$ satisfying $n sup (∥\nabla u_{n} ∥_{L^{2} (M)} + ∥ τ (u_{n}) ∥_{L^{p} (M)}) \leq Λ$ for…

Some notes on endpoint estimates for pseudo-differential operators

Energy identity for the maps from a surface with tension field bounded in Lp

Energy identity for the maps from a surface with tension field bounded in $L^{p}$