Huo-xiong Wu

activity

20132026

most citedA revisit on the compactness of commutators

23 citations · 64 across the 26 of their papers we have counts for

collaborators

Showing math.CAShow all

18 papers · 1 filter

math.CA2021

On the Bounds of Weak $(1, 1)$ Norm of Hardy-Littlewood Maximal Operator with $L lo g L (S^{n - 1})$ Kernels

Moyan Qin, Huoxiong Wu, Qingying Xue

Let $Ω \in L^{1} (S^{n - 1})$ , be a function of homogeneous of degree zero, and $M_{Ω}$ be the Hardy-Littlewood maximal operator associated with $Ω$ defined by $M_Ω(f)(x) = \su…

math.CA2021

Bump conditions and two-weight inequalities for commutators of fractional integrals

Yongming Wen, Huoxiong Wu

This paper gives new two-weight bump conditions for the sparse operators related to iterated commutators of fractional integrals. As applications, the two-weight bounds for iterate…

math.CA2021

Limiting weak-type behaviors for singular integrals with rough $L lo g L (S^{n})$ kernels

Moyan Qin, Huoxiong Wu, Qingying Xue

Let $Ω$ be a function of homogeneous of degree zero and vanish on the unit sphere $S^{n}$ . In this paper, we investigate the limiting weak-type behavior for singular integr…

math.CA2021

The limiting weak type behaviors and The lower bound for a new weak $L lo g L$ type norm of strong maximal operators

Moyan Qin, Huoxiong Wu, Qingying Xue

It is well known that the weak ( $1, 1$ ) bounds doesn't hold for the strong maximal operators, but it still enjoys certain weak $L lo g L$ type norm inequality. Let $Φ_n(t)=t(1+(\log^…

math.CA2020

Limiting weak-type behavior for rough bilinear operators

Moyan Qin, Huoxiong Wu, Qingying Xue

Let $Ω_{1}, Ω_{2}$ be functions of homogeneous of degree $0$ and $Ω = (Ω_{1}, Ω_{2}) \in L lo g L (S^{n - 1}) \times L lo g L (S^{n - 1})$ . In this paper, we investigate the limiti…

math.CA2020★ 1 cited

Variational characterizations of weighted Hardy spaces and weighted $B M O$ spaces

Weichao Guo, Yongming Wen, Huoxiong Wu +1

This paper obtains new characterizations of weighted Hardy spaces and certain weighted $B M O$ type spaces via the boundedness of variation operators associated with approximate iden…

math.CA2019

On the compactness of oscillation and variation of commutators

Weichao Guo, Yongming Wen, Huoxiong Wu +1

In this paper, we first establish the weighted compactness result for oscillation and variation associated with the truncated commutator of singular integral operators. Moreover, w…

math.CA2018★ 1 cited

Boundedness and compactness of commutators associated with Lipschitz functions

Weichao Guo, Jianxun He, Huoxiong Wu +1

Let $α \in (0, 1]$ , $β \in [0, n)$ and $T_{Ω, β}$ be a singular or fractional integral operator with homogeneous kernel $Ω$ . In this article, a CMO type space ${\rm CMO}_α(\mathbb R^n…

math.CA2017★ 23 cited

A revisit on the compactness of commutators

Weichao Guo, Huoxiong Wu, Dongyong Yang

A new characterization of CMO(R^n) is established by the local mean oscillation. Some characterizations of iterated compact commutators on weighted Lebesgue spaces are given, which…

math.CA2017★ 2 cited

Limiting weak-type behaviors of some integral operators

Weichao Guo, Jianxun He, Huoxiong Wu

In this paper, we explore the limiting weak-type behaviors of some integral operators including maximal operators, singular and fractional integral operators and maximal truncated…

math.CA2017★ 7 cited

The unified theory for the necessity of bounded commutators and applications

Weichao Guo, Jiali Lian, Huoxiong Wu

The general methods which are powerful for the necessity of bounded commutators are given. As applications, some necessary conditions for bounded commutators are first obtained in…

math.CA2016

Characterization of inclusion relations between wiener amalgam and some classical spaces

Weichao Guo, Huoxiong Wu, Qixiang Yang +1

In this paper, we establish the sharp conditions for the inclusion relations between Besov spaces $B_{p, q}$ and Wiener amalgam spaces $W_{p, q}^{s}$ . We also obtain the optimal inclus…

math.CA2016

Inclusion relations between Modulation and Triebel-Lizorkin spaces

Weichao Guo, Huoxiong Wu, Guoping Zhao

In this paper, we obtain the sharp conditions of the inclusion relations between modulation spaces $M_{p, q}^{s}$ and Triebel-Lizorkin spaces $F_{p, r}$ for $p \leq 1$ , which greatly im…

math.CA2016★ 1 cited

Full Characterization of embedding relations between alpha modulation spaces

Weichao Guo, Dashan Fan, Huoxiong Wu +1

In this paper, we consider the embedding relations between any two $α$ % -modulation spaces. Based on an observation that the $α$ -modulation space with smaller $α$ can be regarded a…

math.CA2016★ 1 cited

Compactness of Riesz transform commutator associated with Bessel operators

Xuan Thinh Duong, Ji Li, Suzhen Mao +2

Let $λ > 0$ and $△_{λ} := - \frac{d ^{2}}{d x ^{2}} - \frac{2 λ}{x} \frac{d}{d x}$ be the Bessel operator on $R_{+} := (0, \infty)$ . We first introduce and obtain an equivalent characteriz…

math.CA2016★ 15 cited

Characterization of Some Properties on Weighted Modulation Spaces

Weichao Guo, Jiecheng Chen, Dashan Fan +1

In this paper, some properties on weighted modulation and Wiener amalgam spaces are characterized by the corresponding properties on weighted Lebesgue spaces. As applications, shar…

math.CA2016★ 4 cited

Sharp Weighted Convolution Inequalities and Some Applications

Weichao Guo, Dashan Fan, Huoxiong Wu +1

In this paper, the index groups for which the weighted Young's inequalities hold in both continuous case and discrete case are characterized. As applications, the index groups for…

math.CA2013★ 7 cited

Weak Hardy Spaces $W H_{L}^{p} (R^{n})$ Associated to Operators Satisfying $k$ -Davies-Gaffney Estimates

Jun Cao, Der-Chen Chang, Huoxiong Wu +1

Let $L$ be a one-to-one operator of type $ω$ having a bounded $H_{\infty}$ functional calculus and satisfying the $k$ -Davies-Gaffney estimates with $k \in N$ . In this paper,…

On the Bounds of Weak (1,1) Norm of Hardy-Littlewood Maximal Operator with LlogL(Sn−1) Kernels

Bump conditions and two-weight inequalities for commutators of fractional integrals

Limiting weak-type behaviors for singular integrals with rough LlogL(Sn) kernels

The limiting weak type behaviors and The lower bound for a new weak LlogL type norm of strong maximal operators

Limiting weak-type behavior for rough bilinear operators

Variational characterizations of weighted Hardy spaces and weighted BMO spaces

On the compactness of oscillation and variation of commutators

Boundedness and compactness of commutators associated with Lipschitz functions

A revisit on the compactness of commutators

Limiting weak-type behaviors of some integral operators

The unified theory for the necessity of bounded commutators and applications

Characterization of inclusion relations between wiener amalgam and some classical spaces

Inclusion relations between Modulation and Triebel-Lizorkin spaces

Full Characterization of embedding relations between alpha modulation spaces

Compactness of Riesz transform commutator associated with Bessel operators

Characterization of Some Properties on Weighted Modulation Spaces

Sharp Weighted Convolution Inequalities and Some Applications

Weak Hardy Spaces WHLp​(Rn) Associated to Operators Satisfying k-Davies-Gaffney Estimates

On the Bounds of Weak $(1, 1)$ Norm of Hardy-Littlewood Maximal Operator with $L lo g L (S^{n - 1})$ Kernels

Limiting weak-type behaviors for singular integrals with rough $L lo g L (S^{n})$ kernels

The limiting weak type behaviors and The lower bound for a new weak $L lo g L$ type norm of strong maximal operators

Variational characterizations of weighted Hardy spaces and weighted $B M O$ spaces

Weak Hardy Spaces $W H_{L}^{p} (R^{n})$ Associated to Operators Satisfying $k$ -Davies-Gaffney Estimates