共查询到19条相似文献,搜索用时 703 毫秒
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本文在H lder范数生成的强拓扑下, 通过建立大偏差公式, 得到了k维布朗运动C-R型增量在H lder范数下的泛函极限定理. 相似文献
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关于反向Holder不等式的一个注记蔡国培(新加坡国立大学数学系)1引言众所周知,如果不给函数附加条件,反向H5lder不等式一般不成立.为给出一个充分条件,把函数类限制于非负回函数.下述反向H5lder不等式取自干Nehari(见[11的P.415?.. 相似文献
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本文我们讨论如下的非线性退缩抛物型方程:设为上述方程的弱解.在一些结构性条件下,我们得到△u的H lder连续性. 相似文献
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对文献[1-3]中的结果:ut= div(|▽u|p-2▽u)在ΩT=Ω×(0,T)上弱解的空间梯度是H?lder连续的做一个补充.在这个注记里,讨论了条件p>max{1,2N/N+2}是怎样由u的性质所决定的.属于LNloc(ΩT)空间解的梯度是H?lder连续的条件仅仅是p>1. 相似文献
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在局部存在唯一性的基础上,本文证明了当ω0 ∈L(2,1) 及u0 ∈Cr 时二维Euler方程解的整体存在唯一性.这里L(2,1) 是Lorentz空间, Cr 是H氹lder空间 相似文献
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本文讨论了一般的正则泛函:F(u;Ω)=∫Ωf(x,u,Du)dx的局部W-极小的C1,α正则性.获得了处理W-极小u的H?lder连续的指数估计. 相似文献
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本文研究了混合范数空间H(p,q,a)中解析函数f的Taylor系数,对0<p≤2,0<q<∞,a>0和2≤p<∞,0<q<∞,a>0两种情形,分别给出了f属于H(p,q,a)的必要条件和充分条件。用上述结果我们还得到了几个关于混合范数空间的乘子定理,这些结果也推广了Hardy和Littlewood关于H^p空间的相应结论。 相似文献
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本文借助于H(o)lder范数在函数空间中诱导出的强拓扑下的大偏差公式,得到了Wiener过程在H(o)lder范数下的泛函重对数定律. 相似文献
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Yafang Gong 《分析论及其应用》2006,22(4)
Based on Bernstein's Theorem, Kalandia's Lemma describes the error estimate and the smoothness of the remainder under the second part of Holder norm when a Holder function is approximated by its best polynomial approximation. In this paper, Kalandia's Lemma is generalized to the cases that the best polynomial is replaced by one of its four kinds of Chebyshev polynomial expansions, the error estimates of the remainder are given out under Holder norm or the weighted Holder norms. 相似文献
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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
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Ricardo Abreu-Blaya Juan Bory-Reyes Fred Brackx Hennie De Schepper Frank Sommen 《数学学报(英文版)》2012,28(11):2289-2300
A Hilbert transform for H?lder continuous circulant (2 × 2) matrix functions, on the d-summable (or fractal) boundary Γ of a Jordan domain Ω in ?2n , has recently been introduced within the framework of Hermitean Clifford analysis. The main goal of the present paper is to estimate the H?lder norm of this Hermitean Hilbert transform. The expression for the upper bound of this norm is given in terms of the H?lder exponents, the diameter of Γ and a specific d-sum (d > d) of the Whitney decomposition of Ω. The result is shown to include the case of a more standard Hilbert transform for domains with left Ahlfors-David regular boundary. 相似文献
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WEI QICAI 《数学年刊B辑(英文版)》2001,22(2)
The author establishes a large deviation for k-dimensional Brownian motion B in stronger topology, by which the functional modulus of continuity for B in H lder norm can be obtained. 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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Yafang Gong 《分析论及其应用》2006,22(4):329-338
Based on Bernstein's Theorem, Kalandia's Lemma describes the error estimate and the smoothness of the remainder under the second part of Hoelder norm when a HSlder function is approximated by its best polynomial approximation. In this paper, Kalandia's Lemma is generalized to the cases that the best polynomial is replaced by one of its four kinds of Chebyshev polynomial expansions, the error estimates of the remainder are given out under Hoeder norm or the weighted HSlder norms. 相似文献
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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