1 citations · 2 across the 4 of their papers we have counts for
6 papers
On Limit Formulas for Besov Seminorms and Nonlocal Perimeters in the Dunkl Setting
Huaiqian Li, Bingyao Wu
We investigate the limiting behavior of Besov seminorms and nonlocal perimeters in Dunkl theory. The present work generalizes two fundamental results: the Maz'ya--Shaposhnikova for…
Wasserstein Convergence for Conditional Empirical Measures of Subordinated Dirichlet Diffusions on Riemannian Manifolds
Huaiqian Li, Bingyao Wu
The asymptotic behaviour of empirical measures has plenty of studies. However, the research on conditional empirical measures is limited. Being the development of Wang \cite{eW1},…
Li--Yau Inequalities for Dunkl Heat Equations
Huaiqian Li, Bin Qian
Motivated by recent works due to Yu--Zhao [J. Geom. Anal. 2020] and Weber--Zacher [arXiv:2012.12974], we study Li--Yau inequalities for the heat equation corresponding to the Dunkl…
Littlewood--Paley--Stein inequalities on spaces
Huaiqian Li
The boundedness on vertical Littlewood--Paley square functions for heat flows on spaces with is proved. With regards to the proof, f…
Weak Boundedness of Riesz Transforms on Vector Bundles
Huaiqian Li
The weak boundedness of (local) Riesz transforms corresponding to a large class of Schrödinger operators on vector bundles is proved, mainly assuming the generalized volume…
The log-Sobolev inequality for the ground state of a Schrödinger operator on bounded convex domains
Huaiqian Li, Dejun Luo
We consider the ground state of the Schrödinger operator on the bounded convex domain , satisfying the Dirichlet boundary condition. Assume that $V\in…