共查询到20条相似文献,搜索用时 15 毫秒
1.
S Narang 《Proceedings Mathematical Sciences》1979,88(2):115-123
A limitation theorem concerning absolute Nörlund summability was proved recently. In the present paper limitation theorems concerning |N, p, q| summability are proved and corresponding theorems for |E, δ|, |C, α|, |C, α, β|, \(\left| {\bar N,p_n } \right|\) , |N, p n α| methods are deduced as special cases. 相似文献
2.
To the maps on the Heisenberg group target, we prove a Poincar type inequality. Applying this Poincar type inequality, we obtain the corresponding versions of Sobolev and Rellich embedding theorems. 相似文献
3.
Endre Csáki Miklós Csörgő Antónia Földes Pál Révész 《Periodica Mathematica Hungarica》2013,67(1):71-94
We study the path behaviour of the anisotropic random walk on the two-dimensional lattice ?2. Strong approximation of its components with independent Wiener processes is proved. We also give some asymptotic results for the local time in the periodic case. 相似文献
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A formula is pointed out that explains why an analytic function often enjoys the same smoothness properties as its modulus. This is extended to quasiregular mappings and, mutatis mutandis, to mappings of finite distortion.Mathematics Subject Classification (1991): 30C65, 30D50, 30D55Supported in part by Grant 02-01-00267 from the Russian Foundation for Fundamental Research, DGICYT Grant BFM2002-04072-C02-01, CIRIT Grant 2001-SGR-00172, by the Ramón y Cajal program (Spain) and by the European Communitys Human Potential Program under contract HPRN-CT-2000-00116 (Analysis and Operators). 相似文献
6.
We prove that a sequence (f i ) i=1 ∞ of translates of a fixed f ∈ L p (?) cannot be an unconditional basis of L p (?) for any 1 ≤ p < ∞. In contrast to this, for every 2 < p < ∞, d ∈ ? and unbounded sequence (λ n ) n∈? ? ? d we establish the existence of a function f ∈ L p (? d ) and sequence (g n *) n∈? ? L p *(? d ) such that \({({T_{{\lambda _n}}}f,g_n^*)_{n \in {\Bbb N}}}\) forms an unconditional Schauder frame for L p (? d ). In particular, there exists a Schauder frame of integer translates for L p (?) if (and only if) 2 < p < ∞. 相似文献
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In this paper we introduce some Tauberian conditions for the (A)(C, α) summability method. These results extend and generalize some of the classical Tauberian theorems for the Abel summability method. 相似文献
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In this paper we establish the local H?lder continuity of the spatial gradient of weak solutions to the parabolic p(x, t)-Laplacian system $$\begin{array}{lll}\partial_{t}u - {\rm div} \left( a(x, t)|Du|^{p(x, t)-2}Du \right) = 0.\end{array}$$ More precisely, we prove that $$\begin{array}{lll}Du \in C_{\rm loc}^{0;\alpha,\alpha/2} \quad {\rm for\; some} \; \alpha \in (0, 1],\end{array}$$ provided p(·) and a(·) are H?lder-continuous. 相似文献
11.
We present dimension-free reverse Hölder inequalities for strong \(A^*_p\) weights, \(1\le p < \infty \). We also provide a proof for the full range of local integrability of \(A_1^*\) weights. The common ingredient is a multidimensional version of Riesz’s “rising sun” lemma. Our results are valid for any nonnegative Radon measure with no atoms. For \(p=\infty \), we also provide a reverse Hölder inequality for certain product measures. As a corollary we derive mixed \(A_p^*-A_\infty ^*\) weighted estimates. 相似文献
12.
Let
be a unit sphere of the d–dimensional Euclidean space ℝ
d
and let
(0 < p ≤ 1) denote the real Hardy space on
For 0 < p ≤ 1 and
let
E
j
(f,H
p
) (j = 0, 1, ...) be the best approximation of f by spherical polynomials of degree less than or
equal to j, in the space
Given a distribution f on
its Cesàro mean of order δ > –1 is
denoted by
For 0 < p ≤ 1, it is known that
is the critical index for the uniform
summability of
in the metric H
p
. In this paper, the following result is proved:
Theorem
Let
0<p<1 and
Then for
where
A
N
(f)≈B
N
(f) means that there’s a positive constant C, independent of N and f, such that
In the case
d = 2, this result was proved by Belinskii in 1996.
The authors are partially supported by NNSF of China under the grant # 10071007 相似文献
13.
Wen-Bin Zhang 《Mathematische Zeitschrift》2005,251(2):359-391
Halász’s general mean-value theorem for multiplicative functions on ℕ is classical in probabilistic number theory. We extend this theorem to functions f, defined on a set of generalized integers associated with a set of generalized primes in Beurling’s sense, which satisfies Halász’s conditions, in particular,Assume that the distribution function N(x) of satisfieswith γ>γ0, where ρ1<ρ2<···<ρm are constants with ρm≥1 and A1,···,Am are real constants with Am>0. Also, assume that the Chebyshev function ψ(x) of satisfieswith M>M0. Then the asymptoticimplieswhere τ is a positive constant with τ≥1 and L(u) is a slowly oscillating function with |L(u)|=1. 相似文献
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(p,r,d)-superimposed codes简称为(p,r,d)-SC码,利用两个已知的(p,r,d)-SC码定义了它们的行卡氏积,并计算了这个新(p,r,d)-SC码的参数和它的汉明距离. 相似文献
16.
A Jordan–Hölder theorem is established for derived module categories of piecewise hereditary algebras, in particular for representations of quivers and for hereditary abelian categories of a geometric nature. The resulting composition series of derived categories are shown to be independent of the choice of bounded or unbounded derived module categories, and also of the choice of finitely generated or arbitrary modules. 相似文献
17.
De Hua QIU 《数学研究与评论》2012,32(1)
In this paper we present some results for the general strong laws of large numbers of ~(ρ)-mixing random variables by a maximal inequality of Utev and Peligrad.These results extend and improve the rela... 相似文献
18.
Vasilii V. Kurta 《Archiv der Mathematik》2013,100(2):167-178
We establish a Liouville comparison principle for entire weak sub- and super-solutions of the equation (*) w t ?Δ p (w) = |w| q-1 w in the half-space ${\mathbb {S}= \mathbb {R}^1_+\times \mathbb {R}^n}$ , where n ≥ 1, q > 0, and ${ \Delta_p(w) := {\rm div}_x \left(|\nabla_x w|^{p-2}\nabla_x w \right)}$ , 1 < p ≤ 2. In our study we impose neither restrictions on the behaviour of entire weak sub- and super-solutions of (*) on the hyper-plane t = 0, nor any growth conditions on their behaviour and on that of any of their partial derivatives at infinity. We prove that if ${1< q \leq p-1+\frac {p}{n}}$ and u and v are, respectively, an entire weak super-solution and an entire weak sub-solution of (*) in ${\mathbb {S}}$ which belong, only locally in ${\mathbb {S}}$ , to the corresponding Sobolev space and are such that u ≥ v, then u ≡ v. The result is sharp. As direct corollaries we obtain known Fujita-type and Liouville-type theorems. 相似文献
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20.
Tanaka Formulae for (α, d, β)-Superprocesses 总被引:1,自引:0,他引:1
We establish Tanaka like formulae for the local time of (, d, )-superprocess in the dimensions where the local time exists. The result generalizes the result of Adler, Lewin who proved existence of Tanaka formulae for a class of super-processes with finite variance. The fact that we abandon the finite variance assumption, requires using an L
1+
convergence argument (with 0<<1) rather than L
2 convergence, for the derivation of the Tanaka formulae. 相似文献