Jiang Zhou

activity

20162023

most citedCentral BMO spaces with variable exponent

5 citations · 18 across the 23 of their papers we have counts for

collaborators

24 papers

math.FA2023★ 1 cited

Mixed-norm Herz-slice Spaces and Their Applications

Lihua Zhang, Jiang Zhou

We introduce mixed-norm Herz-slice spaces unifying classical Herz spaces and mixed-norm slice spaces, establish dual spaces and the block decomposition, and prove that the boundedn…

math.FA2023

Variable Fofana's Spaces and their Pre-dual

Fan Yang, Jiang Zhou

In this paper, we introduce the variable Fofana's spaces $(L^{p (\cdot)}, L^{q})^{α} (R^{n})$ where $1 < p (\cdot) < \infty$ and $1 \leq q, α \leq \infty$ , then show some properties and es…

math.FA2022

Hardy Spaces Associated with Some Anisotropic Mixed-Norm Herz Spaces and Their Applications

Yichun Zhao, Jiang Zhou

In this paper, we introduce anisotropic mixed-norm Herz spaces $K ˙_{q, a}^{α, p} (R^{n})$ and $K_{q, a}^{α, p} (R^{n})$ and investigate some b…

math.FA2022

Decompositions of Local mixed Morrey-type spaces and Application

Mingwei Shi, Jiang Zhou

In this paper, we obtain predual spaces of local mixed Morrey-type spaces, characterize mixed Hardy local Morrey-type spaces. Further also, investigate nonsmooth decomposition of l…

math.FA2022★ 1 cited

The local Morrey-type space Associated with Ball Quasi-Banach Function Spaces and Application

Mingwei Shi, Jiang Zhou

In this paper, we define for the first time the local Morrey-type space associated with ball quasi-Banach function spaces and show the related series of properties. In addition, Ha…

math.FA2022

Fractional integral operators on the mixed $λ$ -central central Morrey spaces

Wenna Lu, Jiang Zhou

In this paper, the authors define the mixed $λ$ -central Morrey spaces and the mixed $λ$ -central $B M O$ spaces. The boundedness of the fractional integral operators $T_{α}$ and its com…

math.FA2022

Homogeneous mixed Herz-Morrey spaces and its Applications

Mingwei Shi, Jiang Zhou

In this paper, we introduce homogeneous mixed Herz-Morrey spaces $M K ˙_{p, q}^{α, λ} (R^{n})$ and show it's some properties. Firstly, the boundedness of sublinear ope…

math.FA2022

Boundedness of intrinsic square functions and commutators on generalized central Morrey spaces

Wenna Lu, Jiang Zhou

In this paper, the authors establish the boundedness for a large class of intrinsic square functions $G_{α}$ , $g_{α}$ , $g_{λ ~, α}^{*}$ and their commutators $[b,\mathc…

math.FA2022★ 2 cited

Characterizations of Mixed Herz-Hardy Spaces and their Applications

Yichun Zhao, Mingquan Wei, Jiang Zhou

The purpose of this paper is to introduce and investigate some basic properties of mixed homogeneous Herz-Hardy spaces $H K ˙_{p}^{α, q} (R^{n})$ and mixed non-homog…

math.FA2022

Herz-slice spaces and applications

Yuan Lu, Jiang Zhou, Songbai Wang

Let $α \in R^{n}$ , $t \in (0, \infty)$ , $p \in (0, \infty]$ , $r \in (1, \infty)$ and $q \in [1, \infty]$ . We introduce the homogeneous Herz-slice space $(\dot KE_{q,r}^{α,p})_t(\mathbb R^n…

math.FA2022★ 1 cited

The Köthe dual of mixed Morrey spaces and applications

Houkun Zhang, Jiang Zhou

In this paper, we study the separable and weak convergence of mixed-norm Lebesgue spaces. Furthermore, we prove that the block space $B_{p^{'}}^{p_{0}^{'}} (R^{n})$ …

math.FA2021★ 1 cited

Mixed-norm Amalgam Spaces

Houkun Zhang, Jiang Zhou

We introduce the mixed-norm amalgam spaces $(L^{p}, L^{s}) (R^{n})$ and $(L^{p}, L^{s})^{α} (R^{n})$ , and show their some basic properties. In addit…

math.FA2021

Boundedness of some operators on weighted amalgam spaces

Yuan Lu, Songbai Wang, Jiang Zhou

Let $t \in (0, \infty)$ , $p \in (1, \infty)$ , $q \in [1, \infty]$ , $w \in A_{p}$ and $v \in A_{q}$ . We introduce the weighted amalgam space $(L^{p}, L^{q})_{t} (R^{n})$ and show some properties of…

math.FA2021★ 1 cited

Necessary and sufficient conditions for boundedness of commutators of fractional integral operators on mixed-norm Lebesgue spaces

Houkun Zhang, Jiang Zhou

In this paper, the sharp maximal theorem is generalized to mixed-norm ball Banach function spaces, which is defined as Definition 2.7. As an application, we give a characterization…

math.FA2021★ 2 cited

The Boundedness of Fractional Integral Operators in Local and Global Mixed Morrey-type Spaces

Houkun Zhang, Jiang Zhou

In this paper, we introduced the local and global mixed Morrey-type spaces, and some properties of these spaces are also studied. After that, the necessary conditions of the bounde…

math.CA2017

A note on commutator in the multilinear setting

Dinghuai Wang, Jiang Zhou, Zhidong Teng

Let $m \in N$ and $b = (b_{1}, \dots, b_{m})$ be a collection of locally integrable functions. It is proved that $b_{1}, b_{2}, \dots, b_{m} \in B M O$ if and only if $$\sup…

math.FA2017

Necessary and sufficient conditions for boundedness of commutators of bilinear Hardy-Littlewood maximal function

Dinghuai Wang, Jiang Zhou

Let $M$ be the bilinear Hardy-Littlewood maximal function and $b = (b, b)$ be a collection of locally integrable functions. In this paper, the authors establish charac…

math.FA2017★ 5 cited

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…

math.FA2017★ 2 cited

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…

math.FA2017

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…

math.FA2017

Sharp estimates for commutators of bilinear operators on Morrey type spaces

Dinghuai Wang, Jiang Zhou, Zhidong Teng

Denote by $T$ and $I_{α}$ the bilinear Calderón-Zygmund operators and bilinear fractional integrals, respectively. In this paper, it is proved that if $b_{1}, b_{2} \in CMO$ (the…

math.FA2016

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 $W M_{q}^{p}$ is contained in the Morrey space $M_{q_{1}}^{p}$ for $1 \leq q_{1} < q \leq p < \infty$ . As applications, we show that if the commutator…

math.FA2016★ 1 cited

Characterization of CMO via compactness of the commutators of bilinear fractional integral operators

Dinghuai Wang, Jiang Zhou, Wenyi Chen

Let $I_{α}$ be the bilinear fractional integral operator, $B_{α}$ be a more singular family of bilinear fractional integral operators and $b = (b, b)$ . Bényi et al. in \cite{B1} sho…

math.FA2016★ 1 cited

Another characterizations of Muckenhoupt $A_{p}$ class

Dinghuai Wang, Jiang Zhou

This manuscript addresses Muckenhoupt $A_{p}$ weight theory in connection to Morrey and BMO spaces. It is proved that $ω$ belongs to Muckenhoupt $A_{p}$ class, if and only if Hardy…

Mixed-norm Herz-slice Spaces and Their Applications

Variable Fofana's Spaces and their Pre-dual

Hardy Spaces Associated with Some Anisotropic Mixed-Norm Herz Spaces and Their Applications

Decompositions of Local mixed Morrey-type spaces and Application

The local Morrey-type space Associated with Ball Quasi-Banach Function Spaces and Application

Fractional integral operators on the mixed λ-central central Morrey spaces

Homogeneous mixed Herz-Morrey spaces and its Applications

Boundedness of intrinsic square functions and commutators on generalized central Morrey spaces

Characterizations of Mixed Herz-Hardy Spaces and their Applications

Herz-slice spaces and applications

The Köthe dual of mixed Morrey spaces and applications

Mixed-norm Amalgam Spaces

Boundedness of some operators on weighted amalgam spaces

Necessary and sufficient conditions for boundedness of commutators of fractional integral operators on mixed-norm Lebesgue spaces

The Boundedness of Fractional Integral Operators in Local and Global Mixed Morrey-type Spaces

A note on commutator in the multilinear setting

Necessary and sufficient conditions for boundedness of commutators of bilinear Hardy-Littlewood maximal function

Central BMO spaces with variable exponent

Characterizations of weighted BMO space and its application

Boundedness and Compactness of commutator of Hardy-Littlewood maximal operator

Sharp estimates for commutators of bilinear operators on Morrey type spaces

Characterizations of the BMO and Lipschitz spaces via commutators on weak Lebesgue and Morrey spaces

Characterization of CMO via compactness of the commutators of bilinear fractional integral operators

Another characterizations of Muckenhoupt Ap​ class

Fractional integral operators on the mixed $λ$ -central central Morrey spaces

Another characterizations of Muckenhoupt $A_{p}$ class