共查询到14条相似文献,搜索用时 46 毫秒
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以拟Cauchy型积分公式及超正则函数的Plemelj公式为基础,进一步研究了拟Cauchy型积分的Holder连续性:即对两点都在边界上;一点在边界上,另一点在区域内(区域外);两点都在区域内(两点都在区域外)这三种情形分别进行了研究. 相似文献
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得到了l~p-值Wiener过程(1≤p∞)子列C-R型增量,在H?lder范数下的泛函样本轨道性质,推广了l~p-值Wiener过程的泛函重对数定律. 相似文献
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We prove that if (,D) is a positivity preserving form on L
2
(E;m), and if (u
n)n is a sequence in D() converging m-almost everywhere to u L
2
(E;m), then (u,u) lim infn (u
n
,u
n
). 相似文献
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令A={a_1,a_2,…}(a_1≤a_2≤…)是一个无限非负整数序列.设k≥2是固定的正整数,对n∈N,令R_k(A,n)表示方程a_i_1+…+a_i_k=n解的个数.令R_k~((1))(A,n)及R_k~((2))(A,n)分别表示上述方程带限制条件i_1…i_k及i_1≤…≤i_k时解的个数.最近,陈永高和本文作者证明了如下结果:设d是一个正整数,若对充分大的所有n皆有R_k(A,n)≥d,则R_k(A,n)≥d+2[k/2]!d~(1/2)+([k/2]!)~2对无穷多个n成立.本文获得了R_k~((1))(A,n)及R_k~((2))(A,n)的相关结果. 相似文献
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T. Uemura 《Journal of Theoretical Probability》2004,17(3):541-555
We derive some path properties of symmetric stable-like processes constructed via Dirichlet form theory and then sufficient conditions in order that the generators of the forms contain a nice functions space, are given. 相似文献
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We show that a symmetric stable-type form becomes a Dirichlet form in the wide sense under a quite mild assumption and give a necessary and sufficiently condition that the domain contains the family of all uniformly Lipschitz continuous functions with compact support. Moreover we give some path properties of the corresponding Markov processes (we call the processes symmetric stable-like processes) in one dimension such as exceptionality of points and recurrence of the processes. We then note that the recurrence of the processes depend on the behavior of the index functions at the infinity. 相似文献
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Tim Netzer 《Journal of Geometric Analysis》2010,20(3):751-770
We consider a closed set S?? n and a linear operator that preserves nonnegative polynomials, in the following sense: if f≥0 on S, then Φ(f)≥0 on S as well. We show that each such operator is given by integration with respect to a measure taking nonnegative functions as its values. This can be seen as a generalization of Haviland’s Theorem, which concerns linear functionals on ?[X 1,…,X n ]. For compact sets S we use the result to show that any nonnegativity preserving operator is a pointwise limit of very simple nonnegativity preservers with finite dimensional range.
相似文献
$\Phi \colon \mathbb{R}[X_1,\ldots,X_n]\rightarrow \mathbb{R}[X_1,\ldots,X_n]$
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Ching-Sung Chou 《随机分析与应用》2013,31(4):901-912
Abstract This article derives some properties of variants of squared Bessel processes known as CIR processes in the finance literature. We derive the transition probability density function of a square-root process and compute the resolvent density of CIR processes. As a consequence, we derive the density of CIR processes sampled at an independent exponential time. Moreover, we derive explicit expressions of the Laplace transforms (LTs) of first hitting times by martingale methods. 相似文献
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In the present paper, we study a modification of the Phillips operators, which reproduces constant and the exponential functions. We obtain the moments using the concept of moment-generating function for the Phillips operators. Here we discuss a uniform convergence estimate for this modified forms. Also some direct estimates, which also involve the asymptotic-type result are established. 相似文献
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Ying Zhao 《应用数学学报(英文版)》2007,23(3):389-394
First, this paper discusses and sums up some properties of a pair of functions p(x), q(x) that makes (y + 1)p(x) + yq(x) into a bent function. Then it discusses the properties of bent functions. Also, the upper and lower bounds of the number of bent functions on GF(2)2k are discussed. 相似文献