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

Showing math.CAShow all

7 papers · 1 filter

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.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…