16 citations · 98 across the 65 of their papers we have counts for
5 papers · 1 filter
A sharp regularity estimate for the Schrödinger propagator on the sphere
Xianghong Chen, Xuan Thinh Duong, Sanghyuk Lee +1
Let denote the Laplace-Beltrami operator on the -dimensional unit sphere . In this paper we show that $$ \| e^{it Δ_{\mathbb S^n}}f \|_{L^4([0, 2π…
Almost everywhere convergence of Bochner-Riesz means for the Hermite operators
Peng Chen, Xuan Thinh Duong, Danqing He +2
Let be the Hermite operator in . In this paper we study almost everywhere convergence of the Bochner-Riesz means associated with which is defined…
The Schrödinger equation in spaces for operators with heat kernel satisfying Poisson type bounds
Peng Chen, Xuan Thinh Duong, Zhijie Fan +2
Let be a non-negative self-adjoint operator acting on where is a space of homogeneous type with a dimension . In this paper, we study sharp endpoint -Sobol…
A two weight inequality for Calderón-Zygmund operators on spaces of homogeneous type with applications
Xuan Thinh Duong, Ji Li, Eric T. Sawyer +3
Let be a space of homogeneous type in the sense of Coifman and Weiss, i.e. is a quasi metric on and is a positive measure satisfying the doubling condition. S…
The commutator of the Cauchy--Szegő Projection for domains in with minimal smoothness: weighted regularity
Xuan Thinh Duong, Loredana Lanzani, Ji Li +1
Let be a bounded, strongly pseudoconvex domain whose boundary satisfies the minimal regularity condition of class , and let denote the Cauchy-…