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排序方式: 共有1099条查询结果,搜索用时 15 毫秒
31.
This paper is devoted to the high-dimensional and multilinear Hausdorff operators on the Heisenberg group H n. The sharp bounds for the strong type(p, p)(1 ≤ p ≤∞) estimates of n-dimensional Hausdorff operators on H n are obtained. The sharp bounds for strong(p, p) estimates are further extended to multilinear cases. As an application, we derive the sharp constant for the multilinear Hardy operator on H n. The weak type(p, p)(1 ≤ p ≤∞) estimates are also obtained. 相似文献
32.
Sibe Marde
i 《Topology and its Applications》1988,30(3):291-306
The well-known factorization theorems for covering dimension dim and compact Hausdorff spaces are here established for the cohomological dimension dim
using a new characterization of dim
In particular, it is proved that every mapping f: X → Y from a compact Hausdorff space X with
to a compact metric space Y admits a factorization f = hg, where g: X → Z, h: Z → Y and Z is a metric compactum with
. These results are applied to the well-known open problem whether
. It is shown that the problem has a positive answer for compact Hausdorff spaces X if and only if it has a positive answer for metric compacta X. 相似文献
33.
Hitting probabilities and the Hausdorff dimension of the inverse images of a class of anisotropic random fields
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Let X = {X(t):t ∈ R~N} be an anisotropic random field with values in R~d.Under certain conditions on X,we establish upper and lower bounds on the hitting probabilities of X in terms of respectively Hausdorff measure and Bessel-Riesz capacity.We also obtain the Hausdorff dimension of its inverse image,and the Hausdorff and packing dimensions of its level sets.These results are applicable to non-linear solutions of stochastic heat equations driven by a white in time and spatially homogeneous Gaussian noise and anisotropic Guassian random fields. 相似文献
34.
K. Sadarangani 《Acta Mathematica Hungarica》2002,95(4):253-259
We introduce a weak property () in Aerms of the De Blasi measure of weak noncompactness and prove that this property characterizes the reflexivity. 相似文献
35.
For a translation invariant Gibbs measure on the configuration space X of a lattice finite spin system, we consider the set X
of generic points. Using a Breiman type convergence theorem on the set X
of generic points of an arbitrary translation invariant probability measure on X, we evaluate the Hausdorff dimension of the set X
with respect to any metric out of a wide class of scale metrics on X (including Billingsley metrics generated by Gibbs measures). 相似文献
36.
L'. Holá S. Levi J. Pelant 《Proceedings of the American Mathematical Society》1999,127(7):2193-2197
Let be a Hausdorff topological space and the hyperspace of all closed nonempty subsets of . We show that the Fell topology on is normal if and only if the space is Lindelöf and locally compact. For the Fell topology normality, paracompactness and Lindelöfness are equivalent.
37.
给出了由随机压缩算子生成的统计递归集的Hausdorf测度上、下界的估计.也就是说,在一些条件下,找出了K(ω)∩∞n=1∪i∈Nn(ω)f(ω)n,i(E)的α-维Hausdorf测度的上、下界,其中{fn,i,1≤i,n<∞}是一族随机压缩算子,{Nn(ω),n≥1}是一族可数的随机指标集. 相似文献
38.
有阻尼Sine-Gordon方程的全局吸引子的维数 总被引:4,自引:0,他引:4
本文通过引入新范数,得到有阻尼Sine-Gordon方程的Dirichlet问题的全局吸引子的维数的一个估计.结果表明:当“阻尼”与“扩散”同时增大或正弦项系数减小时,吸引子的维数减小.特别地,得到了零维吸引子存在的参数条件. 相似文献
39.
1.IntroductionInthegeometryoffractals,Hausdorffmeasurealiddimensionplayaveryimportantrole.Olltheotherhand,therecelltilltroductionofpackingmeasureshasledtoagreaterunderstandillgofthegeometrictheoryoffractals,aspackingmeasuresbehaveillawnythatis'dual'toHausdoofmeasure8inmanyrespectsl2].Forexample,denotingHausdorffdimellsionandpackingdimensionbydimandDimrespectively,wehavedim(ExF)2dimE dimF,whileDim(ExF)5DimE DimF.Itiswell-kllowenthatifECRm,FCR",thenH(ExFW1T2)2b'H((E,W1)H(FW2)forsome… 相似文献
40.
We show that a discrete, quasiconformal group preserving
n
has the property that its exponent of convergence and the Hausdorff dimension of its limit set detect the existence of a non-empty regular set on the sphere at infinity to
n
. This generalizes a result due separately to Sullivan and Tukia, in which it is further assumed that the group act isometrically on
n
, i.e. is a Kleinian group. From this generalization we are able to extract geometric information about infinite-index subgroups within certain of these groups. 相似文献