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调和空间
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  harmonic space
     The regularity for the map defined by the balayage of hyper-harmonic function in a harmonic space X is discussed.
     讨论调和空间〈X,U〉上映照的正则可容性。
短句来源
     When W is the positive, hyperharmonic function sheaf U on a C. C. Harmonic space(Y, U), Γ is shown to be a C.
     当广义权Γ是从一个调和空间(X、U)的益集到U+的映射时.它是一个强正则的C.
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  harmonic spaces
     Continuous Function on FO-set on Harmonic Spaces
     调和空间FO-集上的连续函数
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     The Regular Capacity on Harmonic Spaces
     调和空间的正则容量
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     The Regular Capacity of the Balayage of Positive Hyperharmonic Functions on Harmonic Spaces
     调和空间上非负超调和函数扫除的正则可容性
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  “调和空间”译为未确定词的双语例句
     This paper discusses a class of propagation of singularities for semilinear pseudodifferential operator equations of
     本文讨论了主型拟微分算子方程在调和空间中的奇性传播,得到了二阶主型拟微分算子方程解的奇性沿着次特征带有大约3_8阶传播现象.
短句来源
     This note gives some counterexamples for the generalized pre-capacity and capacity to show that (a) a generalized pre-capacity in a CC-Harmonic space may be neither a generalized capacity nor a CC-capacity and (b) a capacity may have not the right continuity with respect to compect sets.
     本文通过两个关于广义拟容量与容量的反例说明:(a)在CC调和空间的一个广义拟容量可以既非广义容量,也非CC容量; (b)一个容量关于紧集未必是右连续的.
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  相似匹配句对
     The Regular Capacity on Harmonic Spaces
     调和空间的正则容量
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     SPACE
     空间
短句来源
     Harmonic Hardy Spaces and Mired-norm Spaces
     调和H~p空间和混合范数空间
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     B-closed Spaces
     B闭空间
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     HARMONIC DIVIDER
     调和
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  harmonic space
Decomposition of a harmonic space and some applications
      
The harmonic space associated with a "reasonable" standard process
      
We also find an analogue of Hesselink formula (see [He]) giving the multiplicity of every simple finite dimensional module in the graded component of the harmonic space in the symmetric algebra.
      
In particular, if the spaceE equipped with the measures satisfies the conditions of a harmonic space, such a Markov process and associated multiplicative functional exist.
      
There is an infinite sequence of conditions {Hk} that the curvature tensor of a harmonic space must satisfy.
      
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  harmonic spaces
On the existence of a green function for harmonic spaces
      
A simplicial characterization of elliptic harmonic spaces
      
Harmonic spaces associated with parabolic and elliptic differential operators
      
A co-fine domination principle for harmonic spaces
      
A converse of the Riesz decomposition theorem for harmonic spaces
      
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The regular capacity is introduced in harmonic spaces, A capacity γ on a local compact space y with values in u+(x) is called regular if any compact subset K of Y possesses γ(K)=infr(U)/V, where U runs through the setof neighbourhoods of K. The regular capacity associated with a capacity Is given by the behaviours of the convex cone of hyperharmonic functions onX, and the regular capacity for the maPA→RuA defined on the set of subsets of a harmonic space X is also discussed in this Paper.

文中在公理化位势论中引入广义正则容量概念,并利用超调和函数凸锥的性质,从一个容量构造关联的正则容量,同时考虑调和空间(X,u)上与超调和函数扫除关联的映照:A→R_M~A的可容性问题,给出了这个映照正则可容的若干充分条件.

Let X be a C, C. harmonic space. A subset X of X is called an FO-set if Rfk=f on K and (R(?)k= on X K for any real continuous function f>0 defined on K (denoted by f ∈ C++(K)), where Rfk is the reduced function of f on K. In this paper, the relations between FO-set and polar set were discussed and the following theorem in B-harmonic space X was proved: For any compact FO-set K4 f ∈ C++(K) and any neighborhood U of Kf there is a peteatial P such that p is continuous on K and harmonic on X\U and p=f on K; moreover,...

Let X be a C, C. harmonic space. A subset X of X is called an FO-set if Rfk=f on K and (R(?)k= on X K for any real continuous function f>0 defined on K (denoted by f ∈ C++(K)), where Rfk is the reduced function of f on K. In this paper, the relations between FO-set and polar set were discussed and the following theorem in B-harmonic space X was proved: For any compact FO-set K4 f ∈ C++(K) and any neighborhood U of Kf there is a peteatial P such that p is continuous on K and harmonic on X\U and p=f on K; moreover, if K is of type Gδ, then P is continuous on X. The results can be considered as a generalization of J. Ramasamy's theorems (Proc, Amcr, Math, Soc,, 1985; 93(2))

调和空间中引入FO-型例外集,探讨它与极集的关系,在一般的B-?和空间X上证明下述主要结果:任何一个紧的FO-集K上的正实值连续函数必可延拓成X上的位势p,使得p在K上连续且在K的任一事先指定的邻域之外调和;若K还是G_δ型集,则p在X连续,并把J.Ramasamy有关的定理都?了推广和改进。

This paper discusses a class of propagation of singularities for semilinear pseudodifferential operator equations of

本文讨论了主型拟微分算子方程在调和空间中的奇性传播,得到了二阶主型拟微分算子方程解的奇性沿着次特征带有大约3_8阶传播现象.

 
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