10 citations · 19 across the 16 of their papers we have counts for
17 papers
Nonhomogeneous Theorem on Product Quasimetric Spaces
Ji Li, Trang T. T. Nguyen, Lesley A. Ward +1
In this paper, we provide a non-homogeneous theorem on product spaces equipped with a quasimetric and a B…
Zygmund type and flag type maximal functions, and sparse operators
Guillermo J. Flores, Ji Li, Lesley A. Ward
We prove that the maximal functions associated with a Zygmund dilation dyadic structure in three-dimensional Euclidean space, and with the flag dyadic structure in two-dimensional…
Functions of bounded mean oscillation and quasisymmetric mappings on spaces of homogeneous type
Trang T. T. Nguyen, Lesley A. Ward
We establish a connection between the function space BMO and the theory of quasisymmetric mappings on \emph{spaces of homogeneous type} . The connection is…
Atomic decomposition of product Hardy spaces via wavelet bases on spaces of homogeneous type
Yongsheng Han, Ji Li, M. Cristina Pereyra +1
We provide an atomic decomposition of the product Hardy spaces which were recently developed by Han, Li, and Ward in the setting of product spaces of homogeneo…
Weak-type endpoint bounds for Bochner-Riesz means for the Hermite operator
Peng Chen, Ji Li, Lesley A. Ward +1
We obtain weak-type endpoint bounds for Bochner-Riesz means for the Hermite operator in and for other related operators for $1\leq p\…
Characterization of compactness of commutators of bilinear singular integral operators
Lucas Chaffee, Peng Chen, Yanchang Han +2
The commutators of bilinear Calderón-Zygmund operators and point-wise multiplication with a symbol in are bilinear compact operators on product of Lebesgue spaces. This work…
The Cauchy integral, bounded and compact commutators
Ji Li, Trang T. T. Nguyen, Lesley A. Ward +1
We study the commutator of the well-known Cauchy integral operator with a locally integrable function on , and establish the characterisation of the BMO space on $\m…
On weak-star convergence in product Hardy spaces on spaces of homogeneous type
Ming-Yi Lee, Ji Li, Lesley A. Ward
A classical theorem of Jones and Journé on weak-star convergence in the Hardy space was generalised to the multiparameter setting by Pipher and Treil. We prove the analogous…
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…
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…
Hardy space theory on spaces of homogeneous type via orthonormal wavelet bases
Yongsheng Han, Ji Li, Lesley Ward
In this paper, using the remarkable orthonormal wavelet basis constructed recently by Auscher and Hytönen, we establish the theory of product Hardy spaces on spaces ${\widetilde X}…
One-parameter and multiparameter function classes are intersections of finitely many dyadic classes
Ji Li, Jill Pipher, Lesley A. Ward
We prove that the class of Muckenhoupt A_p weights coincides with the intersection of finitely many suitable translates of dyadic A_p, in both the one-parameter and multiparameter…
A new class of harmonic measure distribution functions
Ariel Barton, Lesley A. Ward
Let D be a planar domain containing 0. Let h_D(r) be the harmonic measure at 0 in D of the part of the boundary of D within distance r of 0. The resulting function h_D is called th…
Geometric-arithmetic averaging of dyadic weights
Jill Pipher, Lesley Ward, Xiao Xiao
The theory of (Muckenhoupt) weights arises in many areas of analysis, for example in connection with bounds for singular integrals and maximal functions on weighted spaces. We prov…
Paraexponentials, Muckenhoupt weights, and resolvents of paraproducts
Cristina Pereyra, Lesley Ward
We analyze the stability of Muckenhoupt's $\RHp$ and $\Ap$ classes of weights under a nonlinear operation, the $\lb$-operation. We prove that the dyadic doubling reverse Hölder cla…
Fuchsian Groups, Quasiconformal Groups, and Conical Limit Sets
Peter W. Jones, Lesley A. Ward
We construct examples showing that the normalized Lebesgue measure of the conical limit set of a uniformly quasiconformal group acting discontinuously on the disc may take any valu…