Zobrazeno 1 - 10
of 159
pro vyhledávání: '"Lai, Xudong"'
In this paper, the authors consider the endpoint estimates for the maximal Calder\'on commutator defined by $$T_{\Omega,\,a}^*f(x)=\sup_{\epsilon>0}\Big|\int_{|x-y|>\epsilon}\frac{\Omega(x-y)}{|x-y|^{d+1}} \big(a(x)-a(y)\big)f(y)dy\Big|,$$ where $\Om
Externí odkaz:
http://arxiv.org/abs/2403.15758
In this paper, we obtain the desired noncommutative maximal inequalities of the truncated Calder\'on-Zygmund operators of non-convolution type acting on operator-valued $L_p$-functions for all $1
Externí odkaz:
http://arxiv.org/abs/2212.13150
Autor:
Liang, Zhuanxin1 (AUTHOR) gisleung@whu.edu.cn, Lai, Xudong1 (AUTHOR) laixudong@whu.edu.cn
Publikováno v:
Remote Sensing. Sep2024, Vol. 16 Issue 18, p3386. 18p.
In this paper, we initiate the study of the Fourier restriction phenomena on quantum Euclidean spaces, and establish the analogues of the Tomas-Stein restriction theorem and the two-dimensional full restriction theorem.
Comment: 20 pages
Comment: 20 pages
Externí odkaz:
http://arxiv.org/abs/2209.01570
Autor:
Lai, Xudong
In this paper, we establish the full $L_p$ boundedness of noncommutative Bochner-Riesz means on two-dimensional quantum tori, which completely resolves an open problem raised in \cite{CXY13} in the sense of the $L_p$ convergence for two dimensions. T
Externí odkaz:
http://arxiv.org/abs/2103.05813
In this paper, we study the boundedness theory for maximal Calder\'on-Zygmund operators acting on noncommutative $L_p$-spaces. Our first result is a criterion for the weak type $(1,1)$ estimate of noncommutative maximal Calder\'on-Zygmund operators;
Externí odkaz:
http://arxiv.org/abs/2009.03827
Autor:
Lai, Xudong
This paper is devoted to the study of noncommutative maximal operators with rough kernels. More precisely, we prove the weak type $(1,1)$ boundedness for noncommutative maximal operators with rough kernels. The proof of weak type (1,1) estimate is ba
Externí odkaz:
http://arxiv.org/abs/1912.09063
Publikováno v:
In Advances in Mathematics 1 October 2023 430
Autor:
Lai, Xudong
Publikováno v:
Can. J. Math.-J. Can. Math. 72 (2020) 1386-1422
In this paper, we investigate the weighted multilinear boundedness properties of the maximal higher order Calder\'on commutator for the dimensions larger than two. We establish all weighted multilinear estimates on the product of the $L^p(\mathbb{R}^
Externí odkaz:
http://arxiv.org/abs/1908.11594
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 bounds of the composite operator for two singular integral op
Externí odkaz:
http://arxiv.org/abs/1811.02878