2 citations · 7 across the 17 of their papers we have counts for
17 papers
An endpoint estimate for the maximal Calderón commutator with rough kernel
Guoen Hu, Xudong Lai, Xiangxing Tao +1
In this paper, the authors consider the endpoint estimates for the maximal Calderón commutator defined by $$T_{Ω,\,a}^*f(x)=\sup_{ε>0}\Big|\int_{|x-y|>ε}\frac{Ω(x-y)}{|x-y|^{d+1}}…
A bilinear sparse domination for the maximal singular integral operators with rough kernels
Xiangxing Tao, Guoen Hu
Let be homogeneous of degree zero, integrable on and have mean value zero, be the homogeneous singular integral operator with kernel and $T…
On the boundedness of non-standard rough singular integral operators
Guoen Hu, Xiangxing Tao, Zhidan Wang +1
Let be homogeneous of degree zero, have vanishing moment of order one on the unit sphere (). In this paper, our object of investigation is the follow…
boundedness for the Calderón commutator with rough kernel
Jiecheng Chen, Guoen Hu, Xiangxing Tao
Let , be homogeneous of degree zero, integrable on and have vanishing moment of order , be a function on such that $\nabla a\in…
An endpoint estimate for the commutators of singular integral operators with rough kernels
Guoen Hu, Xiangxing Tao
Let be homogeneous of degree zero and have mean value zero on the unit sphere , be the homogeneous singular integral operator with kernel …
Weak Type Endpoint Estimates for the Commutators of Rough Singular Integral Operators
Jiacheng Lan, Xiangxing Tao, Guoen Hu
Let be homogeneous of degree zero and have mean value zero on the unit sphere , be the convolution singular integral operator with kernel .…
A sparse domination for the Marcinkiewicz integral with rough kernel and applications
Xiangxing Tao, Guooen Hu
Let be homogeneous of degree zero, have mean value zero and integrable on the unit sphere, and be the higher-dimensional Marcinkiewicz integral defined by $$μ_Ω(f)(x)= \B…
On the composition for rough singular integral operators
Guoen Hu, Xudong Lai, Qingying Xue
In this paper, we investigate the behavior of the bounds of the composition for rough singular integral operators on the weighted space. More precisely, we obtain the quantitative…
Weighted weak type endpoint estimates for the composition of Calderon-Zygmund operators
Guoen Hu
Let , be two Calderón-Zygmund operators and be the commutator of with symbol . In this paper, the author prove that, the…
The composition of singular integral operators with nonsmooth kernels
Guoen Hu, Yandan Zhang
Let , be two singular integral operators with nonsmooth kernels introduced by Duong and McIntosh. In this paper, by establishing certain bi-sublinear sparse domination,…
Weighted estimates for the Calderón commutator
Jiecheng Chen, Guoen Hu
In this paper, the authors establish some weighted estimates for the Calderón commutator defined by \begin{eqnarray*} &&\mathcal{C}_{m+1,\,A}(a_1,\dots,a_{m};f)(x) &&\quad={\rm p.\…
Weighted complete continuity for the commutator of Marcinkiewicz integral
Guoen Hu
Let be homogeneous of degree zero, have mean value zero and integrable on the unit sphere, and be the higher-dimensional Marcinkiewicz integral associated with…
Weighted vector-valued bounds for a class of multilinear singular integral operators
Jiecheng Chen, Guoen Hu
In this paper, we investigate the weighted vector-valued bounds for a class of multilinear singular integral operators, and its commutators, from $L^{p_1}(l^{q_1};\,\mathbb{R}^n,w_…
Weighted vector-valued bounds for the singular integral operators with nonsmooth kernels
Guoen Hu
Let be a singular integral operator with non-smooth kernel which were introduced by Duong and McIntosh. In this paper, we prove that this operator and its corresponding grand m…
Weighted vector-valued estimates for a non-standard Calderón-Zygmund operator
Guoen Hu
In this paper, the author considers the weighted vector-valued estimate for the operator defined by $$T_Af(x)={\rm p.\,v.}\int_{\mathbb{R}^n}\frac{Ω(x-y)}{|x-y|^{n+1}}\big(A(x)-A(y…
Weighted bounds for the Marcinkiewicz integral
Guoen Hu, Meng Qu
Let be homogeneous of degree zero, have mean value zero and integrable on the unit sphere, and be the higher-dimensional Marcinkiewicz integral associated with…
Weighted norm inequalities for multilinear singular integral operators and applications
Guoen Hu, Chin-Cheng Lin
In this paper, weighted norm inequalities with weights are established for the multilinear singular integral operators whose kernels satisfy -Hörmander regularity con…