Xiangxing Tao

activity

20142023

most citedA bilinear sparse domination for the maximal singular integral operators with rough kernels

1 citations · 3 across the 9 of their papers we have counts for

collaborators

9 papers

math.CA2023★ 1 cited

A bilinear sparse domination for the maximal singular integral operators with rough kernels

Xiangxing Tao, Guoen Hu

Let $Ω$ be homogeneous of degree zero, integrable on $S^{d - 1}$ and have mean value zero, $T_{Ω}$ be the homogeneous singular integral operator with kernel $\frac{Ω ( x )}{∣ x ∣ ^{d}}$ and $T…

math.CA2022

On the boundedness of non-standard rough singular integral operators

Guoen Hu, Xiangxing Tao, Zhidan Wang +1

Let $Ω$ be homogeneous of degree zero, have vanishing moment of order one on the unit sphere $S^{d - 1}$ ( $d \geq 2$ ). In this paper, our object of investigation is the follow…

math.CA2022★ 1 cited

$L^{p} (R^{d})$ boundedness for the Calderón commutator with rough kernel

Jiecheng Chen, Guoen Hu, Xiangxing Tao

Let $k \in N$ , $Ω$ be homogeneous of degree zero, integrable on $S^{d - 1}$ and have vanishing moment of order $k$ , $a$ be a function on $R^{d}$ such that $\nabla a\in…

math.FA2020

Bilinear integral operator on Morrey-Banach spaces and its application

Huihui Zhang, Xiangxing Tao, Yandan Zhang +1

In this paper, we give the definability of bilinear singular and fractional integral operators on Morrey-Banach space, as well as their commutators and we prove the boundedness of…

math.CA2020

An endpoint estimate for the commutators of singular integral operators with rough kernels

Guoen Hu, Xiangxing Tao

Let $Ω$ be homogeneous of degree zero and have mean value zero on the unit sphere $S^{d - 1}$ , $T_{Ω}$ be the homogeneous singular integral operator with kernel $\frac{Ω ( x )}{∣ x ∣ ^{d}}$ …

math.CA2020

Weak Type Endpoint Estimates for the Commutators of Rough Singular Integral Operators

Jiacheng Lan, Xiangxing Tao, Guoen Hu

Let $Ω$ be homogeneous of degree zero and have mean value zero on the unit sphere $S^{n - 1}$ , $T_{Ω}$ be the convolution singular integral operator with kernel $\frac{Ω ( x )}{∣ x ∣ ^{n}}$ .…

math.CA2019★ 1 cited

A sparse domination for the Marcinkiewicz integral with rough kernel and applications

Xiangxing Tao, Guooen Hu

Let $Ω$ be homogeneous of degree zero, have mean value zero and integrable on the unit sphere, and $μ_{Ω}$ be the higher-dimensional Marcinkiewicz integral defined by $$μ_Ω(f)(x)= \B…

math.CA2018

Some estimates for the bilinear fractional integrals on the Morrey space

Xiao Yu, Xiangxing Tao, Huihui Zhang +1

In this paper, we are interested in the following bilinear fractional integral operator $B I_{α}$ defined by \[ B\mathcal{I}_α({f,g})(x)=\int_{% %TCIMACRO{\U{211d} }% %Begin…

math.FA2014

Estimates for multilinear commutators of generalized fractional integral operators on weighted Morrey spaces

He Sha, Tao Xiangxing

Let $L$ be the infinitesimal generator of an analytic semigroup on $L^{2} (R^{n})$ with Gaussian kernel bounds, and let $L^{- α /2}$ be the fractional integrals of $L$ for $0<α<n…