共查询到19条相似文献,搜索用时 171 毫秒
1.
《高校应用数学学报(A辑)》2015,(3)
借助于k-维Brown运动在Hlder范数生成的强拓扑下的大偏差公式,得到了k-维Brown运动子列C-R型增量在Hlder范数下的泛函样本轨道性质.藉此性质,可以得到k-维Brown运动在Hlder范数下的泛函重对数定律. 相似文献
2.
《数学年刊A辑(中文版)》2015,(2)
利用Brown运动在Hlder范数下关于容度的大偏差与小偏差,得到了Brown运动增量在Hlder范数下关于(r,p)-容度的拟必然收敛速度. 相似文献
3.
利用Brown运动在Hlder范数下关于(r,p)-容度的大偏差,证明了Brown运动增量在Hlder范数下关于(r,p)-容度的泛函极限定理. 相似文献
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本文利用Brown运动在H?lder范数下的大偏差和小偏差,得到了Brown运动增量在H?lder范数下的局部泛函Chung重对数律. 相似文献
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本文利用Brown运动在H?lder范数下的大偏差,研究了Brown运动增量在H?lder范数下的局部Strassen重对数律,本文推广了Gantert和危启才文中的相应结果. 相似文献
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首先介绍了Hlder空间中相关范数、连续模的基本概念以及Meyer-KnigZeller算子的定义,然后讨论了Meyer-Knig-Zeller算子在Hlder空间中的逼近性质.利用连续模与K-泛函的等价关系,得到了在Hlder范数下Meyer-Knig-Zeller算子对[0,1]上连续函数逼近的正定理. 相似文献
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本文研究了Brown运动在H?lder范数与容度下的泛函极限问题.利用大偏差小偏差方法,获得了Brown运动增量局部泛函极限的收敛速度,推广了文[4]中的结果. 相似文献
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In this paper, we prove a sharpening of large deviation for increments of Brownian motion in (p,r)-capacity and Hölder norm case. As an application, we obtain a functional modulus of continuity for (p,r)-capacity in the stronger topology. 相似文献
13.
The Generalized Multifractional Brownian Motion 总被引:1,自引:0,他引:1
It is well known that the fractional Brownian motion (FBM) is of great interest in modeling. However, its Hölder is the same all along its path and this restricts its field of application. Therefore, it would be useful to construct a Gaussian process extending the FBM and having a Hölder that is allowed to change. A partial answer to this problem is supplied by the multifractional Brownian motion (MBM); but the Hölder of the MBM must necessarily be continuous and this may be a drawback in some situations. In this paper we construct a Gaussian process generalizing the MBM and having a Hölder that can be a very irregular function. 相似文献
14.
Let X be the solution of the stochastic differential equation where B
H
is a fractional Brownian motion with Hurst parameter H. In this paper we compute the Onsager-Machlup functional of X for the supremum norm and H?lder norms of order β with in the case and for H?lder norms of order β with when .
Received: 16 July 2001 / Revised version: 12 March 2002 / Published online: 10 September 2002 相似文献
15.
Qianshun Chang 《应用数学学报(英文版)》1990,6(2):113-125
The discrete Sobolev's inequalities inL
p norm are proved for three-dimensional spherical and cylindrical coordinates, by using discrete Hölder inequality, property of the triangle functions and complicated deduction. 相似文献
16.
Michael Brian Korey 《Journal of Fourier Analysis and Applications》1998,4(4-5):491-519
Sharp inequalities between weight bounds (from the doubling, Ap, and reverse Hölder conditions) and the BMO norm are obtained when the former are near their optimal values. In particular, the BMO norm of the logarithm of a weight is controlled by the square root of the logarithm of its A∞ bound. These estimates lead to a systematic development of asymptotically sharp higher integrability results for reverse Hölder weights and extend Coifman and Fefferman's formulation of the A∞ condition as an equivalence relation on doubling measures to the setting in which all bounds become optimal over small scales. 相似文献
17.
Qicai Wei 《数学学报(英文版)》2000,16(4):637-654
In this paper, based on large deviation formulas established in stronger topology generated by H?lder norm, we obtained the
functional limit theorems for C-R increments of k-dimensional Brownian motion in H?lder norm
Received December 19, 1999, Revised March 3, 2000, Accepted April 7, 2000 相似文献
18.
Yonghong Liu 《Journal of Mathematical Analysis and Applications》2009,356(1):21-29
We investigate the quasi sure convergence of the functional limit for increments of a Brownian motion. The rate of quasi sure convergence in the functional limit for increments of a d-dimensional Brownian motion is derived. The main tool in the proof is large deviation and small deviation for Brownian motion in terms of (r,p)-capacity. 相似文献
19.
利用Brown运动在H\"older 范数下关于$(r,p)$-容度的大偏差,证明了Brown运动增量在H\"older范数下关于$(r,p)$-容度的泛函极限定理. 相似文献