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1.
The concepts of branching chain in random environmnet and canonical branch-ing chain in random environment are introduced. Moreover the existence of these chains is proved. Finally the exact formulas of mathematical expectation and variance of branching chain in random environment are also given.  相似文献
2.
1 IntroductionIn [2] tl1e authors considered a type of coustrained maximim capacity path problem whichcan be described briefly as: kuowing the costs for expallding one unit of capacity along differentedge8 of a l1etwork aud the availabIe budget, how to iucrease the caparities of the edges so thattlle capasity between any pair of nodes in the lletwork can be raised unifornily to the maximumextent? As the total cost is a summation of the expansion costs on all edges, this problem i8related to mi…  相似文献
3.
In this paper, the author studies the Laplace operator on the quaternionic Heisenberg group, construct a fundamental solution for it and use this solution to prove the Lp-boundedness and the weak (1-1) boundedness of certain singular convolution operators on the quaternionic Heisenberg group.  相似文献
4.
HIGHER RADIAL DERIVATIVE OF BLOCH TYPE FUNCTIONS   总被引:2,自引:0,他引:2  
In this paper, The integral characterizations of α-Bloch (little α-Bloch) are given in terms of higher radial derivative, and their characterizations of Carleson type measure are obtained.  相似文献
5.
ON DIRICHLET TYPE SPACES AND α-BLOCH SPACES IN THE UNIT BALL OF C^n   总被引:2,自引:0,他引:2  
In this paper, the authors study the inclusion relations between Dirichlet type spaces DΥ and α-Bloch spaces βα by means of higher radial derivative. The strictness and the best possibility of the inclusion relations are shown with constructive methods. Furthermore, they sharpen one of the results when Υ-n, which proves that a conjecture in [7] is true.  相似文献
6.
从p—m链到随机环境中的马氏链   总被引:1,自引:0,他引:1  
第一节引进了p一m链的概念,并用之构造了与它相应的随机环境中的马氏链和绕积马氏链、第二节引进了一系列与随机环境中的马氏链相关的概率特性函数,并得到了这些函数之间的一系列关系.这些结果是经典马氏链的相应结果的一般化,它们在随机环境中的马氏链的极限理论的研究中是很有用的。  相似文献
7.
This paper proposes a new image restoration technique, in which the resulting regularized image approximates the optimal solution steadily. The affect of the regular-ization operator and parameter on the lower band and upper band energy of the residue of the regularized image is theoretically analyzed by employing wavelet transform. This paper shows that regularization operator should generally be lowstop and highpass. So this paper chooses a lowstop and highpass operator as regularization operator, and construct an optimization model which minimizes the mean squares residue of regularized solution to determine regularization parameter. Although the model is random, on the condition of this paper, it can be solved and yields regularization parameter and regularized solu-tion. Otherwise, the technique has a mechanism to predict noise energy. So, without noisei nformation, it can also work and yield good restoration results.  相似文献
8.
Let F = {f} be a family of entire functions and f(k) the k-th derivative of f. The author studies the relation of the nomality of F and that of {f(k) o f : f∈F} or {f o f(k):f∈F}.  相似文献
9.
THE ASYMPTOTIC PROPERTIES OF WEIGHTED MARKOV OPERATORS   总被引:1,自引:0,他引:1  
IInttodllct1OllLet(X,E,u)be a a-inite me。ure svace.L‘={f:人*(x)I。(d。)<co}.D={j。L‘:f>0川f【=1};any function f E D is called a density,and。j(A)=jA f(x)。(dx)(A E Z)isthe Prob——hi,measurt。Sociattd WZth/./。*‘,…0=人/(t)…dt);j“()=ti(厂 j(t》;and f-(x)=max(0,一/(x)).By the support of a function g E L‘we simply mean the set ofall。such that g(x)一 0,that is,suppo=《x:g(x)f 0}.Notice that suppg Is unique up to azero measure s戌.A s虹 M C LI Is said to be wea…  相似文献
10.
In this paper the authors study a class of non-linear singular partial differential equation in complex domain Ct x Cxn. Under certain assumptions, they prove the existence and uniqueness of holomorphic solution near origin of Ct x Cxn.  相似文献
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