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拟凸域     
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  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
     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
     Due to the result of Mok and Yau ,we know that any bounded pseudoconvex domain Ω in Cn has a unique complete Einstein-Kahler metric .
     从Mok和Yau的结果[1]可知,C~n中任一有界拟凸域Ω都存在唯一的完备的Einstein-Kahler度量,设此度量为
短句来源
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  pseudoconvex domains
     The Comparison Theorem for the Bergman and Kobayashi Metrics on a Class of Pseudoconvex Domains
     一类拟凸域的Bergman度量与Kobayashi度量的比较定理
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 method of Nils Overlid which he used in strictly pseudoconvex domains are consulted,in this paper,and not only for imhomogeneous Cauahy-Riemann equations on some cases that for boundedopen sets with C ̄1-boundary,bounded open sets with piecewise C ̄1-boundary,and pseudoconvex domainswith C ̄1-boundary are discussed,but also their linear integral operator solution and elementary estimatedare corresponding given.
     借鉴NilsOvrelid应用于严格拟凸域的方法,不仅对具有C ̄1——边界的有界开集以及C ̄1——边界的拟凸域上的非齐次Cauchy-Riemann方程进行了讨论,而且给出了它们相应的线性积分算子解和基本估计。
短句来源
     The pseudoconvex domains E=E(m,n,k) is representative domain. In this note, it is proved which derived same Aut (E) from any invariant Khler metric of the domain E .
     证明了从拟凸域E( m ,n,k)= {(z,w) ∈Cn+ m :|z|2 + | w|2k > 1,z∈Cn,w ∈Cm ,k> 0}的任一不变Khler 度量都可以导出相同的Aut( E).
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
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  “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 Bergman kernal functions on Cartan-Hartogs domains are obtained in explicit formulas by Yin Weiping, so we can easily prove that Y_I is a bounded pseudo-convex domain.
     hler-Einstein度量.殷慰萍已求出Cartan-Hartogs域Y_I的Bergman核函数,从而易知域Y_I是有界拟凸域,存在唯一完备的K(?)
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
     A Leray-Norguet Formula with Locally Holomorphic Kernel on Piecewise Smooth Pscudoconvex Domain in ̄m
     l~n中逐块光滑拟凸域上具有局部全纯核的Leray-Norguet公式
短句来源
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  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.
      
The boundary behavior of the higher-order Carathéodory metrics, the singular Carathéodory metric, and the Azukawa metric near anh-extendable boundary point of a bounded smooth pseudoconvex domain in ?n are studied.
      
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.
      
更多          
  pseudoconvex domains
Hardy spaces of analytic functions are studied both on strongly pseudoconvex domains in ?n and on domains of finite type in ?2.
      
An example of two pseudoconvex domains that are not separated by a levi-flat hypersurface
      
Strictly pseudoconvex domains and algebraic varieties
      
In the paper, we consider applications of strictly pseudoconvex domains to the problems of algebraicity and rationality.
      
Theorems analogous to the Hodge index theorem and the Lefschetz theorem about (1, 1)-classes are obtained for strictly pseudoconvex domains.
      
更多          


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。

The method of Nils Overlid which he used in strictly pseudoconvex domains are consulted,in this paper,and not only for imhomogeneous Cauahy-Riemann equations on some cases that for boundedopen sets with C ̄1-boundary,bounded open sets with piecewise C ̄1-boundary,and pseudoconvex domainswith C ̄1-boundary are discussed,but also their linear integral operator solution and elementary estimatedare corresponding given.

借鉴NilsOvrelid应用于严格拟凸域的方法,不仅对具有C ̄1——边界的有界开集以及C ̄1——边界的拟凸域上的非齐次Cauchy-Riemann方程进行了讨论,而且给出了它们相应的线性积分算子解和基本估计。

In this paper,we have studied a family of domains-Liph-extension domain.We have re-searched lhe relationship between it and uniform quasiconvex domain and obtained the neces-sary and sufficient condition for a domain which is uniform quasiconvex.

本文研究了一类区域-Liph-扩张域,得到了它和一致拟凸域之间的关系和证明了一致拟凸域的一个充要条件。

 
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