45 citations · 176 across the 79 of their papers we have counts for
9 papers · 1 filter
Geometric characterizations of embedding theorems
Yanchang Han, Yongsheng Han, Ji Li
The embedding theorem arises in several problems from analysis and geometry. The purpose of this paper is to provide a deeper understanding of analysis and geometry with a particul…
Criterion of the boundedness of singular integrals on spaces of homogeneous type
Yanchang Han, Yongsheng Han, Ji Li
It was well known that geometric considerations enter in a decisive way in many questions of harmonic analysis. The main purpose of this paper is to provide the criterion of the bo…
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 …
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…
Haar bases on quasi-metric measure spaces, and dyadic structure theorems for function spaces on product spaces of homogeneous type
Anna Kairema, Ji Li, M. Cristina Pereyra +1
We give an explicit construction of Haar functions associated to a system of dyadic cubes in a geometrically doubling quasi-metric space equipped with a positive Borel measure, and…