5 citations · 9 across the 15 of their papers we have counts for
16 papers
On the Two-Weight Problem for One-Sided Maximal Operators in Higher Dimensions
Dinghuai Wang
For the one-sided Hardy--Littlewood maximal operator on , the natural two-weight Muckenhoupt condition was shown by Sawyer in 1986 to characterize the weak $(p…
Properties and applications of Lorentz--Muckenhoupt classes
Dinghuai Wang, Qian Zhang
In this paper, through the introduction of Lorentz--Muckenhoupt classes, we systematically investigate the boundedness of maximal operators on multiplier weighted Lorentz spaces. A…
Pointwise endpoint limits for nonlocal operators
Dinghuai Wang
We establish two pointwise endpoint limits for nonlocal operators: one based on normalized integrals and a distributional limit based on weighted weak-type norms. As applications,…
The factorizations of via multilinear Calderón-Zygmund operators on weighted Lebesgue spaces
Dinghuai Wang, Rongxiang Zhu, Lisheng Shu
We extend the recently much-studied Hardy factorization theorems to the weight case. The key point of this paper is to establish the factorization theorems without individual condi…
Weak factorizations of the Hardy space in terms of multilinear fractional integral operator
Dinghuai Wang, Rongxiang Zhu
We give a constructive proof of the factorization theorem for the classical Hardy space in terms of fractional integral operator. Moreover, the result is extended to the multilinea…
New function classes of Morrey-Campanato type and their applications
Dinghuai Wang, Lisheng Shu
The aim of this paper is to introduce and investigative some new function classes of Morrey-Campanato type. Let and . We say that $f\in \mathcal{\bar{L}}^…
The necessity theory for commutators of multilinear singular integral operators: the weighted case
Dinghuai Wang
In this paper, the necessity theory for commutators of multilinear singular integral operators on weighted Lebesgue spaces is investigated. The results relax the restriction of the…
A note on commutator in the multilinear setting
Dinghuai Wang, Jiang Zhou, Zhidong Teng
Let and be a collection of locally integrable functions. It is proved that if and only if $$\sup…
Necessary and sufficient conditions for boundedness of commutators of bilinear Hardy-Littlewood maximal function
Dinghuai Wang, Jiang Zhou
Let be the bilinear Hardy-Littlewood maximal function and be a collection of locally integrable functions. In this paper, the authors establish charac…
Central BMO spaces with variable exponent
Dinghuai Wang, Zongguang Liu, Jiang Zhou +1
In this paper, the central BMO spaces with variable exponent are introduced. As an application, we characterize these spaces by the boundedness of commutators of Hardy operator and…
Characterizations of weighted BMO space and its application
Dinghuai Wang, Jiang Zhou, Zhidong Teng
In this paper, we prove that the weighted BMO space as follows $${\rm BMO}^{p}(ω)=\Big\{f\in L^{1}_{\rm loc}:\sup_{Q}\|χ_{Q}\|^{-1}_{L^{p}(ω)}\big\|(f-f_{Q})ω^{-1}χ_{Q}\big\|_{L^{p…
Boundedness and Compactness of commutator of Hardy-Littlewood maximal operator
Dinghuai Wang, Jiang Zhou, Zhidong Teng
We study the mapping property of the commutator of bilinear Hardy-Littlewood maximal operator in homogeneous Triebel-Lizorkin space. We also show that the commutator of bilinear Ha…
Sharp estimates for commutators of bilinear operators on Morrey type spaces
Dinghuai Wang, Jiang Zhou, Zhidong Teng
Denote by and the bilinear Calderón-Zygmund operators and bilinear fractional integrals, respectively. In this paper, it is proved that if (the…
Characterizations of the BMO and Lipschitz spaces via commutators on weak Lebesgue and Morrey spaces
Dinghuai Wang, Jiang Zhou, Wenyi Chen
We prove that the weak Morrey space is contained in the Morrey space for . As applications, we show that if the commutator…
Characterization of CMO via compactness of the commutators of bilinear fractional integral operators
Dinghuai Wang, Jiang Zhou, Wenyi Chen
Let be the bilinear fractional integral operator, be a more singular family of bilinear fractional integral operators and . Bényi et al. in \cite{B1} sho…
Another characterizations of Muckenhoupt class
Dinghuai Wang, Jiang Zhou
This manuscript addresses Muckenhoupt weight theory in connection to Morrey and BMO spaces. It is proved that belongs to Muckenhoupt class, if and only if Hardy…