Zobrazeno 1 - 10
of 200
pro vyhledávání: '"WANG Huiju"'
Autor:
Li, Wenjuan, Wang, Huiju
In this article, we study maximal functions related to hypersurfaces with vanishing Gaussian curvature in $\mathbb{R}^3$. Firstly, we characterize the $L^p\rightarrow L^q$ boundedness of local maximal operators along homogeneous hypersurfaces. Moreov
Externí odkaz:
http://arxiv.org/abs/2406.06876
Publikováno v:
Gong-kuang zidonghua, Vol 44, Iss 4, Pp 104-108 (2018)
Aiming at open-pit mine transportation problem, a mathematical model of the open-pit mine transportation problem was established which took production and transportation capacity of open-pit mine as constraint conditions and the minimum transportatio
Externí odkaz:
https://doaj.org/article/eb407033586c4d0e8af08d3fefd6a40d
On $L^{p}$-improving bounds for maximal operators associated with curves of finite type in the plane
Autor:
Li, Wenjuan, Wang, Huiju
In this paper, we study the $L^{p}$-improving property for the maximal operators along a large class of curves of finite type in the plane with dilation set $E \subset [1,2]$. The $L^{p}$-improving region depends on the order of finite type and the f
Externí odkaz:
http://arxiv.org/abs/2303.02897
For decreasing sequences $\{t_{n}\}_{n=1}^{\infty}$ converging to zero, we obtain the almost everywhere convergence results for sequences of Schr\"{o}dinger means $e^{it_{n}\Delta}f$, where $f \in H^{s}(\mathbb{R}^{N}), N\geq 2$. The convergence resu
Externí odkaz:
http://arxiv.org/abs/2207.08440
In this paper, we study maximal functions along some finite type curves and hypersurfaces. In particular, various impacts of non-isotropic dilations are considered. Firstly, we provide a generic scheme that allows us to deduce the sparse domination b
Externí odkaz:
http://arxiv.org/abs/2202.09944
Autor:
Li, Wenjuan, Wang, Huiju
In this paper, we consider convergence properties for generalized Schr\"{o}dinger operators along tangential curves in $\mathbb{R}^{n} \times \mathbb{R}$ with less smoothness comparing with Lipschitz condition. Firstly, we obtain sharp convergence ra
Externí odkaz:
http://arxiv.org/abs/2111.09186
We consider pointwise convergence of nonelliptic Schr\"{o}dinger means $e^{it_{n}\square}f(x)$ for $f \in H^{s}(\mathbb{R}^{2})$ and decreasing sequences $\{t_{n}\}_{n=1}^{\infty}$ converging to zero, where \[{e^{it_{n}\square }}f\left( x \right): =
Externí odkaz:
http://arxiv.org/abs/2011.10160
We consider pointwise convergence of Schr\"{o}dinger means $e^{it_{n}\Delta}f(x)$ for $f \in H^{s}(\mathbb{R}^{2})$ and decreasing sequences $\{t_{n}\}_{n=1}^{\infty}$ converging to zero. The main theorem improves the previous results of [Sj\"{o}lin,
Externí odkaz:
http://arxiv.org/abs/2010.08701
The goal of this note is to establish non-tangential convergence results for Schr\"{o}dinger operators along restricted curves. We consider the relationship between the dimension of this kind of approach region and the regularity for the initial data
Externí odkaz:
http://arxiv.org/abs/2008.03093
Autor:
Li, Wenjuan, Wang, Huiju
The goal of this article is to establish $L^{p} \rightarrow L^{q}$ estimates for maximal functions associated with nonisotropic dilations $\delta_t(x)=(t^{a_1}x_1,t^{a_2}x_2,t^{a_3}x_3)$ of hypersurfaces $(x_{1}, x_{2},\Phi(x_1,x_2))$ in $\mathbb{R}^
Externí odkaz:
http://arxiv.org/abs/2006.14379