11 citations · 69 across the 51 of their papers we have counts for
7 papers · 1 filter
Marcinkiewicz-type spectral multipliers on Hardy and Lebesgue spaces on product spaces of homogeneous type
Peng Chen, Xuan Thinh Duong, Ji Li +2
Let and be metric spaces equipped with doubling measures and let and be nonnegative self-adjoint second-order operators acting on and …
Multilinear Multiplier Theorems and Applications
Loukas Grafakos, Danqing He, Hanh Van Nguyen +1
We obtain new multilinear multiplier theorems for symbols of restricted smoothness which lie locally in certain Sobolev spaces. We provide applications concerning the boundedness o…
Product Hardy spaces associated to operators with heat kernel bounds on spaces of homogeneous type
Peng Chen, Xuan Thinh Duong, Ji Li +2
The aim of this article is to develop the theory of product Hardy spaces associated with operators which possess the weak assumption of Davies--Gaffney heat kernel estimates, in th…
End-point estimates for singular integrals with non-smooth kernels on product spaces
Xuan Thinh Duong, Ji Li, Lixin Yan
The main aim of this article is to establish boundedness of singular integrals with non-smooth kernels on product spaces. Let and be non-negative self-adjoint operators…
Spectral multipliers, Bochner-Riesz means and uniform Sobolev inequalities for elliptic operators
Adam Sikora, Lixin Yan, Xiaohua Yao
This paper comprises two parts. In the first, we study to bounds for spectral multipliers and Bochner-Riesz means with negative index in the general setting of abstract…
On characterization of Poisson integrals of Schrödinger operators with Morrey traces
Liang Song, Xiaoxiao Tian, Lixin Yan
Let be a Schrödinger operator of the form acting on where the nonnegative potential belongs to the reverse Hölder class for some $q\geq n.…