Automorphism Group of Toeplitz Algebras on Certain Pseudoconvex Domains

in this paper, we characterize the automorphism groups of Toeplitz algebras oncertain strongly pseudoconvex domains of Cn, and obtain a generalized BDF theorem for aspecial kind of essential normal operator tupies.     

Peak Points for Pseudoconvex Domains: A Survey

This paper surveys results concerning peak points for pseudoconvex domains. It includes results of Laszlo that have not been published elsewhere.      

拟凸域上沿某些方向的边界 Schwarz 引理*

本文直接利用全纯映照的性质研究边界Schwarz引理,建立了拟凸域上沿某些满足正定条件的方向的边界Schwarz引理. 文章推广了强拟凸域情形的主要结果,但是证明的方法是不一样的.     

一类拟凸域的不变Khler度量与曲率

本文对Ｃｍ＋ｎ中的一类有界拟凸域给出了不变Ｋｈｌｅｒ度量及其曲率以及不变调和函数的显表达式     

相容连续Domain上的序同态

首先给出相客定向极小集的概念,讨论它的性质及与相客连续Domain的关系;其次蛤出相客连续Domain基的概念,得到它的等价刻画.最后,引入了相客连续Domain上的序同态,同时研究了它的性质,并得出相应的扩张定理.     

无穷维复空间的拟凸Riemann区域(英)

本文利用多极集的测度研究了凸空间上的Riemann区域的拟凸性。     

On a Negative Result Concerning Interpolation with Change of Measures for Lorentz Spaces

In this note we show that the Stein-Weiss theorem on interpolation with change of measures cannot be extended to Lorentz spaces

     

The Integral Representations and Their Applications on the Analytic Varieties of Bounded Domains in Stein Manifolds

In this paper,we first obtain a unified integral representation on the analytic varieties of the general bounded domain in Stein manifolds (the two types bounde...     

Convexity of the Solution Set of a Pseudoconvex Inequality in Riemannian Manifolds

Some equivalent conditions for convexity of the solution set of a pseudoconvex inequality are presented. These conditions turn out to be very useful in characterizing the solution sets of optimization problems of pseudoconvex functions defined on Riemannian manifold.     

关于一类Hermite-Fejér插值算子的平均收敛

本文给出基于{xk}_(k=0)~(n+1)的Hermite-Fejér插值算子平均收敛的一些新结论,这里x0=1,xn+1=-1,xk（k=1,2,…,n）是n阶Jacobi多项式的零点.     

On Uniformly Perfect Boundaries of Stable Domains in Iteration of Meromorphic Functions

Let f:C be a function which is either transcendental meromorphicor rational with degree at least 2. We discuss the uniform perfectnessof the attracting or parabolic cycle of stable domains of f(z),and include a proof that the Julia set of a meromorphic functionof finite type is uniformly perfect. 2000 Mathematics SubjectClassification 37F10, 37F50, 30D05.     

On Global Solvability of Nonlinear Kirchhoff Model in Infinitely Increasing Moving Domains

The purpose of this article is to study the existence and uniqueness of global solution for the nonlinear hyperbolic-parabolic equation of Kirchhoff-Carrier type: $$ u_{tt} + \mu u_t - M\left (\int _{\Omega _t}|\nabla u|^2dx\right )\Delta u = 0\quad \hbox {in}\ \Omega _t\quad \hbox {and}\quad u|_{\Gamma _t} = \dot \gamma $$ where $ \Omega _t = \{x\in {\shadR}^2 | \ x = y\gamma (t), \ y\in \Omega \} $ with boundary o t , w is a positive constant and n ( t ) is a positive function such that lim t M X n ( t ) = + X . The real function M is such that $ M(r) \geq m_0 \gt 0 \forall r\in [0,\infty [ $ .     

关于I.Joo的一个插值过程

研究I.Joo引入的在区间[0,＋∞）上定义的一个插值过程R_n（f,x）.逼近可微函数f（x）的阶以及同时逼近问题.     

典型域上R—W多项式及内函数的存在性

该文给出了多复变四类典型域（m，n）,（n）,(2k),（3）及(n)上的R－W型多项式,并证明了这些区域上内函数的存在性．     

一类Hermite-Fejér插值算子的平均收敛(Ⅱ)

设X0=1,xn+1=-1,{xk}kn=1是n阶Jacobi多项式的零点,本文给出基于{xk)k=1 n+1 的Hermite-Fejer插值算子平均收敛的一些充要条件.     

On the Hartogs-Phenomenon and Extension of Analytic Hypersurfaces in Non-separated Riemann Domains

In the present paper, we answer two questions raised by Jarnicki and Pflug: First, we show by a counterexample that the Hartogs-Bochner theorem is no longer true for non-separated Riemann domains. Secondly, we generalize a structure theorem of Dloussky, which examines the extension of singularity sets contained in analytic hypersurfaces, to non-separated Riemann domains. Moreover, our method yields a new proof of Dloussky's original result.     

On Interpolation Sequences of One Class of Functions Analytic in the Unit Disk

We establish a criterion for the existence of a solution of the interpolation problem f( _n ) = b _n in the class of functions f analytic in the unit disk and satisfying the relation

On Interpolation Sequences of One Class of Functions, Analytic in the Half-Plane

A new criterion of solvability of the interpolation problem f( _n )=b_n in the class of functions f, analytic in the right half-plane and such that there exists c ₁(0;+) such that |f(z)|c ₁exp((c₁|z|)) for all z , where is a positive increasing continuous differentiable function on [0;+), for which (t)+ as t+ and there exists c ₂(0;+) such that

On Boundary-Value Problems for the Laplacian in Bounded Domains with Micro Inhomogeneous Structure of the Boundaries

We consider boundary-value problems with rapidly alternating types of boundary conditions. We present the classification of homogenized （limit） problems depending on the ratio of small parameters, which characterize the diameter of parts of the boundary with different types of boundary conditions. Also we study the respective spectral problem of this type.