Ziyi Xu

collaborators

3 papers

math.PR2025

The Littlewood-Paley-Stein inequality for Dirichlet space tamed by signed measured curvature lower bounds

Syota Esaki, Kazuhiro Kuwae, Zi Jian Xu

The notion of tamed Dirichlet space by distributional lower Ricci curvature bounds was proposed by Erbar--Rigoni--Sturm--Tamanini as the Dirichlet space having a weak form of Bakry…

math.AP2024

$W^{1, p}$ estimates for SchrÃ¶dinger equation in the region above a convex graph

Ziyi Xu

We investigate the $W^{1, p}$ estimates of the Neumann problem for the SchrÃ¶dinger equation $- I^ u + V u = div (f)$ in the region above a convex graph. For any $p > 2$ , we obtain a…

math.AP2024

On the SchrÃ¶dinger equations with $B_{\infty}$ potentials in the region above a Lipschitz graph

Jun Geng, Ziyi Xu

In this paper we investigate the $L^{p}$ regularity, $L^{p}$ Neumann and $W^{1, p}$ problems for generalized SchrÃ¶dinger operator $- div (A \nabla) + V$ in the region above a Lips…

The Littlewood-Paley-Stein inequality for Dirichlet space tamed by signed measured curvature lower bounds

W1,p estimates for SchrÃ¶dinger equation in the region above a convex graph

On the SchrÃ¶dinger equations with B∞​ potentials in the region above a Lipschitz graph

$W^{1, p}$ estimates for SchrÃ¶dinger equation in the region above a convex graph

On the SchrÃ¶dinger equations with $B_{\infty}$ potentials in the region above a Lipschitz graph