5 citations · 7 across the 10 of their papers we have counts for
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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…
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…