2. 您的位置
3. 首页
4. 期刊论文
5. Hausdorff dimension of quasi-cirles of polygonal mappings and its applications

Hausdorff dimension of quasi-cirles of polygonal mappings and its applications

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：wenzhen881219

【摘 要】

：

We show that the Hausdorff dimension of quasi-circles of polygonal mappings is one.Furthermore,we apply this result to the theory of extremal quasiconformal map

【作 者】

：

HUO ShengJin TANG ShuAn WU She 

【机 构】

：

LMAMandSchoolofMathematicalSciences,SchoolofMathematicsandComputerScience

【出 处】

：

中国科学：数学英文版

【发表日期】

：

2013年5期

【关键词】

：

HAUSDORFF维数 极值拟共形映射 多边形 应用 收敛 Π Hausdorff dimension  Teichmiiller space  quasi-c 

【基金项目】

：

supported by National Natural Science Foundation of China(Grant Nos.10831004 and 11171080)

下载到本地 , 更方便阅读

下载此文 赞助VIP

声明 : 本文档内容版权归属内容提供方 , 如果您对本文有版权争议 , 可与客服联系进行内容授权或下架

论文部分内容阅读

We show that the Hausdorff dimension of quasi-circles of polygonal mappings is one.Furthermore,we apply this result to the theory of extremal quasiconformal mappings.Let [μ] be a point in the universal Teichmller space such that the Hausdorff dimension o

其他文献

On higher analogues of Courant algebroids

In this paper, we study the algebraic properties of the higher analogues of Courant algebroid structures on the direct sum bundle TM ⊕∧nT*M for an m-dimension

期刊

代数性质类似物POISSON结构作者代数结构辛结构莱布尼茨大肠杆菌higher analogues of Courant algebroids

Determination of the rational limits for multivariate functions

The purpose of this paper is to solve the problem of determining the limits of multivariate rational functions.It is essential to decide whether or not limxˉ→

期刊

计算机代数系统测定有理函数多项式通用程序算法LIM临界点rational function limit infinitesimal elem

Well-posedness for the stochastic 2D primitive equations with L~vy noise

The two-dimensional primitive equations with Lévy noise are studied in this paper.We prove the existence and uniqueness of the solutions in a fixed probabi

期刊

原始方程噪声适定性2D随机先验估计概率空间弱收敛primitive equation Levy noise existence and un

Reconstruction of a defect in an open waveguide——Dedicated to Professor Shi Zhong-Ci on the Occasion

The paper is concerned with the reconstruction of a defect in the core of a two-dimensional open waveguide from the scattering data.Since only a fnite numbers o

期刊

缺陷波导重构生日散射有限数逆问题低频率inverse problem Helmholtz equation open waveguide

Haarlet analysis of Lipschitz regularity in metric measure spaces

In this note we shall give a characterization of Lipschitz spaces on spaces of homogeneous type via Haar coefficients.

期刊

LIPSCHITZ空间测度空间度量齐型空间Lipschitz spaces Haar basis spaces of homogeneous type

A class of nonconforming quadrilateral finite elements for incompressible flow

This paper focuses on the low-order nonconforming rectangular and quadrilateral finite elements approximation of incompressible flow.Beyond the previous researc

期刊

不可压缩流有限元近似四边形非协调L2范数误差估计有限元逼近研究成果incompressible flow finite element met

Multiplicity of positive solutions to weighted nonlinear elliptic system involving critical exponent

This paper deals with the existence and multiplicity of nontrivial solutions to a weighted nonlinear elliptic system with nonlinear homogeneous boundary conditi

期刊

椭圆系统非线性临界指数加权多重正解齐次边界条件解的存在性Nehari manifold Caffarelli-Kohn-Nirenberg i

Explicit constants for Hardy＇s inequality with power weight on n-dimensional product spaces

In this paper, Hardy operator H on n-dimensional product spaces G = (0, ∞)n and its adjoint operator H* are investigated. We use novel methods to obtain two ma

期刊

HARDY不等式N维空间产品重量功率常数运营商算子n-dimensional Hardy operator Hausdorff-Young i

Stability of planar diffusion wave for nonlinear evolution equation

It is known that the one-dimensional nonlinear heat equation ut = f(u)x1x1,f'(u) 0,u(±∞,t) = u±,u+ = u_ has a unique self-similar solution u(x1/

期刊

STABILITYPLANARDIFFUSIONWAVENONLINEARevolutionEQUATIONstabilityplanar di

Convergence of Riemannian sums of inverse wavelet transforms

We study the approximation of the inverse wavelet transform using Riemannian sums.We show that when the Fourier transforms of wavelet functions satisfy some mod

期刊

小波变换黎曼傅立叶变换小波函数采样密度无穷大运营商wavelet frames wavelet transforms Riemannian sum