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强拟凸域
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  strictly pseudoconvex domain
     On the base of the α-Hlder estimate of the extended B_Df and the 1/2-Hlder estimate of the extended R~w_(D)f,the the authors obtained the 1/2-Hlder estimate of the extended solution of the -equation on a strictly pseudoconvex domain D with C~2-boundary.
     在得到拓广后的BDf的αH lder估计(0<α<1)和Rw Df的1 /2 -H lder估计的基础上,本文给出了强拟凸域D上-方程解的拓广式的1 /2- H lder估计.
短句来源
     On the Hlder Estimate of Solution of the -equation on a Strictly Pseudoconvex Domain
     关于强拟凸域上-方程解的Hlder估计
短句来源
     By meams of the extended Bochner-Martinelli kernel and Leray map constructed by Henkin and Leiterer,the authors studied the extended Koppelman-Leray formula and extended integral representation of solution of the -equation on a strictly pseudoconvex domain D with C~2 -boundary in C~n.
     利用拓广的Bochner Martinelli核和Henkin&Leiterer构造的关于D的Leray映射,研究了Cn中具有C2 光滑边界的强拟凸域D上拓广的Koppelman -Leray公式及 方程解的拓广的积分表示.
短句来源
     In this paper,we study compactness of Hankel operator Hf on strictly pseudoconvex domain Dfor f∈L∞(D)and get the compactness characterization under condition:Dis defined by r,r∈L∞(D),dr≠0 at the borndary.
     对于强拟凸域D,f∈L∞(D),我们得到了Hankel算子Hf的紧性刻画。
短句来源
     In [1],an extensional formula of Leray-Norguet with weight factors of differential forms and weighted continuous solutions of the -equation on a strictly pseudoconvex domain with piecewise C(1) smooth boundaries in C n were obtained.
     文[1]得到Cn空间中具有逐块C(1)光滑边界的强拟凸域上(0,q)形式的带权因子的Leray-Norguet公式的拓广式及-方程带权因子的连续解。
短句来源
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  strongly pseudoconvex domain
     Let Ω be a strongly pseudoconvex domain in Cn. Hankel operator Hf(f∈L2(Ω)) is defined on Bergman space A2(Ω), In this paper, we obtain several equvalentquantities of ‖ Hf ‖ ess, (the essential norm of Hf).
     在文中,对于Cn中有界强拟凸域Ω,得到了Bergman空间A2(Ω)上的Hankel算子Hf(f∈L2(Ω,dυ)的本性范数‖Hf‖ess(在L2(Ω,dυ)上)的等价刻划.
短句来源
     Let D be a bounded strongly pseudoconvex domain with smooth boundary in Cn and φ : D - D be a holomorphic self-map of D, the authors study the composition operators Cφ between Bergman spaces on a bounded strongly pseudoconvex domain D in Cn, and introduce the η-Carleson measure and use it to give the characterization of the bounded or compact composition operator C
     设D是Cn中具有光滑边界的有界强拟凸域,φ:D-D是D的全纯自映射. 本文研究D上Bergman空间的复合算子Cφ,通过η-Carleson测度给出Cφ:LηPa(D)-Lηpa(D)(0
短句来源
     This paper uses the characteristic spaces theory of polynomials to study the classification of homogeneous principal Hardy submodules over homogeneous strongly pseudoconvex domains. The main result is over a homogeneous strongly pseudoconvex domain with smooth boundary, two homogeneous principal Hardy submodules are similar if and only if the difference between their corresponding homogeneous polyomials is only a constant factor.
     利用多项式的特征空间理论,研究了齐次强拟凸域上的齐次主Hardy子模的分类,得到了以下主要结果:在一个具有光滑边界的齐次强拟凸域上,两个齐次主Hardy子模相似当且仅当相应的齐次多项式只相差一个常数因子.
短句来源
     Let Ω be a bounded strongly pseudoconvex domain in C\+ n,A\+p(Ω) be the Bergman space, Cφ:A p(Ω)→A p(Ω) be a compsition operator.
     研究了Cn中有界强拟凸域Ω上Bergman空间Ap(Ω)上的复合算子的有界性、紧性.
短句来源
  “强拟凸域”译为未确定词的双语例句
     Prove that the direct sum of Z and K_1-group of a Toeplitz algebra is always isomorphic to the topological K_1-group of the boundary of the relative domain.
     证明了在强拟凸域上,它的拓扑边界上的连续函数代数的K1 群同构于边界上的Toeplitz代数的K1 群与Z的直和.
短句来源
     In this paper,from the six-term exact sequence,it is proved that the direct sum of Z and K1 -group of a Toeplitz algebra is always isomorphic to the topological K1 -group of the boundary of the relative domain.
     本文通过六项正合列计算出,在强拟凸域上,它的拓扑边界上连续函数代数的K_(1-)群同构于区域上Toeplitz代数的K_1-群与Z的直和。
短句来源
     The Hlder and L p estimates for the solution of  b equation of (p,q) forms on strictly pseudoconvex domains on Stein manifolds are obtained.
     本文得到了Stein流形强拟凸域上(p,q)型b—方程解的Hlder和Lp估计
短句来源
     The Holder and Ls estimates of the solutions of equation don't involve boundary integrals on complex manifolds are obtained,from which one can derive the results of Stein manifolds and Cn.
     得到了复流形强拟凸域上方程不含边界积分的解Holder和Ls估计,从它可以得到Stein流形和Cn中的结果.
短句来源
     COMPOSITION OPERATORS BETWEEN THE BERGMAN SPACES ON THE BOUNDED STRONGLY PSEUDOCONVEX DOMAINS OF Cn
     c~n中有界强拟凸域上Bergman空间的复合算子
短句来源
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  strictly pseudoconvex domain
A topological property of the boundary of an analytic subset of a strictly pseudoconvex domain in C2
      
An example of a strictly pseudoconvex domain homeomorphic to the ball with a complex disk attached from the outside
      
The paper is devoted to the study of necessary and sufficient topological conditions for an embedded real surface to lie in a strictly pseudoconvex domain on a complex surface.
      
Closed finitely generated ideals in algebras of holomorphic functions and smooth to the boundary in strictly pseudoconvex domain
      
LetR be a Reinhardt domain andD a bounded simply connected strictly pseudoconvex domain withC∞ boundary.
      
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  strongly pseudoconvex domain
Let D ? ?n be a domain with smooth boundary ?D, let E??D be a subset of positive Lebesgue measure mes(E) >amp;gt; 0, and let F ? G be a nonpluripolar compact set in a strongly pseudoconvex domain D ? ?m.
      
Suppose that D ? ?n is a domain with smooth boundary ?D, E ? ?D is a boundary subset of positive Lebesgue measure mes(E) >amp;gt; 0, and F ? G is a nonpluripolar compact set in a strongly pseudoconvex domain G ? ?m.
      
Suppose that D ? ?n is a domain with smooth boundary ?D, E ? ?D is a boundary subset of positive Lebesgue measure mes(E) >amp;gt; 0, and F ? G is a nonpluripolar compact set in a strongly pseudoconvex domain G ? ?m.
      
Given an unbounded strongly pseudoconvex domain Ω and a continuous real valued function h defined on bΩ, we study the existence of a (maximal) plurisubharmonic function Φ on Ω such that Φ|bΩ =?h.
      
Let D be a bounded strongly pseudoconvex domain with smooth boundary in Cn and let f∈L2(D).
      


In this paper,we study compactness of Hankel operator Hf on strictly pseudoconvex domain Dfor f∈L∞(D)and get the compactness characterization under condition:Dis defined by r,r∈L∞(D),dr≠0 at the borndary.

对于强拟凸域D,f∈L∞(D),我们得到了Hankel算子Hf的紧性刻画。

In this paper the Bergman kernal function with four types symmetric classic domains RL is discussed, and that the Bergman kernal function has properties A, B0, C is also proved. it is shown that the RL is a bounded strictly pseudoconvex domain with smooth boundary only if the RL can be biholomorphically equivalent to boundary strictly pseudoconvex domain with smooth boundary.

阐述四类对称典型域的Bergman核函数,并论证该核函数满足性质A、B0、C,以此证明了四类对称典型域是Cn中具光滑边界的有界强拟凸域的充要条件是四类对称典型域双全纯等价于Cn中一具光滑边界的有界强拟凸域

This paper discuss the eigenvalue problem of the complex Monge-Ampere equation on strong pseudoconvex domains, and prove the existence and uniqueness of the eigenvalue problem. The relation between the eigenvalue and the first eigenvalue of the complex Laplace operator on the complex domain is presented. In the last, We study the existence and bifurcation of the solution for a class of complex Monge-Ampere equations by using the existence of the eigenvalue and the eigenfunction.

讨论了复空间中强拟凸域上的复Monge-Ampere方程的特征值问题,证明了特征值问题解的存在唯一性,并给出了这个特征值与一类复空间中复Laplace算子的第一特征值的关系,最后利用特征值及特征函数的存在性讨论了一类复Monge-Ampere方程的解的存在性及其分歧.

 
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