Zobrazeno 1 - 10
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pro vyhledávání: '"Mai, Weixiong"'
Autor:
Dang, Pei, Mai, Weixiong
In this paper we prove some improved Caffarelli-Kohn-Nirenberg inequalities and uncertainty principle for complex- and vector-valued functions on $\mathbb R^n$, which is a further study of the results in \cite{Dang-Deng-Qian}. In particular, we intro
Externí odkaz:
http://arxiv.org/abs/2210.03285
Autor:
Mai, Weixiong, Ou, Jianyu
In this paper we consider harmonic functions on gradient shrinking Ricci solitons with constant scalar curvature. A Liouville theorem is proved without using gradient estimate : any bounded harmonic function is constant on gradient shrinking Ricci so
Externí odkaz:
http://arxiv.org/abs/2208.07101
Given several sequences of Hermitian holomorphic line bundles $\{(L_{kp}, h_{kp})\}_{p=1}^{\infty}$, we establish the distribution of common zeros of random holomorphic sections of $L_{kp}$ with respect to singular measures. We also study the dimensi
Externí odkaz:
http://arxiv.org/abs/2208.03517
Independence analysis is an indispensable step before regression analysis to find out essential factors that influence the objects. With many applications in machine Learning, medical Learning and a variety of disciplines, statistical methods of meas
Externí odkaz:
http://arxiv.org/abs/2111.03851
Autor:
Mai, Weixiong, Ou, Jianyu
In this paper we establish the three balls theorem for functions $u$ satisfying $Du=\lambda u$ in Clifford analysis, where $D$ is the Dirac operator. As an application, we generalize Hadamard's three circles theorem to monogenic function in $\mathbb
Externí odkaz:
http://arxiv.org/abs/2110.14991
Autor:
Mai, Weixiong, Shao, Guokuan
In this paper, we study the Bergman kernel $B_\varphi(x,y)$ of generalized Bargmann-Fock spaces in the setting of Clifford algebra. The versions of $L^2$-estimate method and weighted subharmonic inequality for Clifford algebra are established. Conseq
Externí odkaz:
http://arxiv.org/abs/2109.15137
In the Clifford algebra setting the present study develops three reproducing kernel Hilbert spaces of the Paley-Wiener type, namely the Paley-Wiener spaces, the Hardy spaces on strips, and the Bergman spaces on strips. In particular, we give spectrum
Externí odkaz:
http://arxiv.org/abs/2009.11078
Autor:
Mai, Weixiong, Ou, Jianyu
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 October 2023 526(2)
Akademický článek
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Autor:
Mai, Weixiong, Ou, Jianyu
We prove rigidity theorems for shrinking gradient Ricci solitons supporting the Heisenberg-Pauli-Weyl uncertainty principle with the sharp constant in $\mathbb{R}^n$. In addtion, we partially give analogous rigidity results of the Caffarelli-Kohn-Nir
Externí odkaz:
http://arxiv.org/abs/1905.09508