共查询到20条相似文献,搜索用时 31 毫秒
1.
Mohammad Q. Hailat 《Journal of Combinatorial Theory, Series A》1985,40(2):342-348
Unbounded symmetrysets R Zpn are introduced which, in the presence of a Jacobi condition, are classified and can be written as R = Zpn1 + + Zpnk (inner direct sum), where ni n for all i = 1, , k. The properties of these unbounded symmetrysets are easily verified for the set R of roots of Witt Lie algebras. This paper is a step in the direction of classifying simple Lie algebras of characteristic, p, by studying their rootsystems. 相似文献
2.
Kewei Zhang 《Frontiers of Mathematics in China》2008,3(4):599-642
We study the ‘universal’ strong coercivity problem for variational integrals of degenerate p-Laplacian type by mixing finitely many homogenous systems. We establish the equivalence between universal p-coercivity and a generalized notion of p-quasiconvex extreme points. We then give sufficient conditions and counterexamples for universal coercivity. In the case
of noncoercive systems we give examples showing that the corresponding variational integral may have infinitely many non-trivial
minimizers in W
01,p
which are nowhere C
1 on their supports. We also give examples of universally p-coercive variational integrals in W
01,p
for p ⩾ with L
∞ coefficients for which uniqueminimizers under affine boundary conditions are nowhere C
1.
相似文献
3.
In this paper, the sequence spaces e0^τ(u, p) and ec^τ(u, p) of non-absolute type which are the generalization of the Maddox sequence spaces have been introduced and it is proved that the spaces e0^τ(u,p) and ec^τ(u,p) are linearly isomorphic to spaces co(p) and c(p), respectively. Furthermore, the α-, β- and γ-duals of the spaces 0^τ(u,p) and ec^τ(u,p) have been computed and their bases have been constructed and some topological properties of these spaces have been investigated. Besides this, the class of matrices (e0^τ)(u, p) : μ) has been characterized, where μ is one of the sequence spaces l∞, c and co and derives the other characterizations for the special cases of μ. In the last section, Euler Core of a complex-valued sequence has been introduced, and we prove some inclusion theorems related to this new type of core. 相似文献
4.
In this paper, function spaces V∩l
A
p
(w) are considered in the context of their multiplicative structure. The space V is determined by conditions on the values
of a function in a disk (for example, CA,Lip
Aα). We denote by l
A
p
(w) the space of power series such that their Taylor coefficients are p-summable with weight w. For an analytic function Φ
acting in a space of this type, we prove the following alternative: either Φ″(z)≡0, or the space is a Banach algebra with
respect to pointwise multiplication. For a wide class of weights w, we establish the continuity of the identity embeddingmult(V∩l
A
p
(w))↪multl
A
p
. An estimate for the lp-multiplicative norm of random polynomials is found. This estimate can be considered as an extension of the known result by
Salem-Zygmund. Bibliography: 10 titles.
Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 232, 1996, pp. 50–72.
Translated by S. Shimorin. 相似文献
5.
Ioana Ghenciu 《Quaestiones Mathematicae》2018,41(6):811-828
In this paper we study equivalent formulations of the DP? Pp (1 < p < ∞). We show that X has the DP? Pp if and only if every weakly-p-Cauchy sequence in X is a limited subset of X. We give su?cient conditions on Banach spaces X and Y so that the projective tensor product X ?π Y, the dual (X ?? Y)? of their injective tensor product, and the bidual (X ?π Y)?? of their projective tensor product, do not have the DP Pp, 1 < p < ∞. We also show that in some cases, the projective and the injective tensor products of two spaces do not have the DP? Pp, 1 < p < ∞. 相似文献
6.
Christian Borgs Jennifer T. Chayes Remco van der Hofstad Gordon Slade Joel Spencer 《Random Structures and Algorithms》2005,27(2):137-184
We study random subgraphs of an arbitrary finite connected transitive graph ?? obtained by independently deleting edges with probability 1 ? p. Let V be the number of vertices in ??, and let Ω be their degree. We define the critical threshold pc = pc (??, λ) to be the value of p for which the expected cluster size of a fixed vertex attains the value λV1/3, where λ is fixed and positive. We show that, for any such model, there is a phase transition at pc analogous to the phase transition for the random graph, provided that a quantity called the triangle diagram is sufficiently small at the threshold pc. In particular, we show that the largest cluster inside a scaling window of size |p ? pc| = Θ(Ω?1V?1/3) is of size Θ(V2/3), while, below this scaling window, it is much smaller, of order O(??2 log(V?3)), with ? = Ω(pc ? p). We also obtain an upper bound O(Ω(p ? pc)V) for the expected size of the largest cluster above the window. In addition, we define and analyze the percolation probability above the window and show that it is of order Θ(Ω(p ? pc)). Among the models for which the triangle diagram is small enough to allow us to draw these conclusions are the random graph, the n‐cube and certain Hamming cubes, as well as the spread‐out n‐dimensional torus for n > 6. © 2005 Wiley Periodicals, Inc. Random Struct. Alg., 2005 相似文献
7.
Haskell P. Rosenthal 《Israel Journal of Mathematics》1970,8(3):273-303
Let 2<p<∞. The Banach space spanned by a sequence of independent random variables inL
p
, each of mean zero, is shown to be isomorphic tol
2,l
p
,l
2⊕l
p
, or a new spaceX
p
, and the linear topological properties ofX
p
are investigated. It is proved thatX
p
is isomorphic to a complemented subspace ofL
p
and another uncomplemented subspace ofL
p
, whence there exists an uncomplemented subspace ofl
p
isomorphic tol
p
. It is also proved thatX
p
is not isomorphic to the previously knownℒ
p
spaces.
The work for this research was partially supported by the National Science Foundation GP-12997. 相似文献
8.
Let {Xi, i1} be a sequence of i.i.d. random vectors inRd, and letνp, 0<p<1, be a positive, integer valued random variable, independent ofXis. Theν-stable distributions are the weak limits of properly normalized random sums ∑νpi=1 Xiasνp
∞ andpνp
ν. We study the properties ofν-stable laws through their representation via stable laws. In particular, we estimate their tail probabilities and provide conditions for finiteness of their moments. 相似文献
9.
本文研究了环Fpm+uFpm+u2Fpm上长度为ps的循环码分类.通过建立环Fpm+uFpm+u2Fpm到环Fpm+uFpm的同态,给出了环Fpm+uFpm+u2Fpm上长度为ps的循环码的新分类方法.应用这种方法,得到了环Fpm+uFpm+u2Fpm长度为ps的循环码的码词数. 相似文献
10.
《复变函数与椭圆型方程》2012,57(12):837-843
Let W be a nonnegative summable function whose logarithm is also summable with respect to the Lebesgue measure on the unit circle. For 0?<?p?<?∞ , Hp (W) denotes a weighted Hardy space on the unit circle. When W?≡?1, H p(W) is the usual Hardy space Hp . We are interested in Hp ( W)+ the set of all nonnegative functions in Hp ( W). If p?≥?1/2, Hp + consists of constant functions. However Hp ( W)+ contains a nonconstant nonnegative function for some weight W. In this paper, if p?≥?1/2 we determine W and describe Hp ( W)+ when the linear span of Hp ( W)+ is of finite dimension. Moreover we show that the linear span of Hp (W)+ is of infinite dimension for arbitrary weight W when 0?<?p?<?1/2. 相似文献
11.
The purpose of this paper is twofold. First, we generalize the results of Pless and Qian and those of Pless, Solé, and Qian for cyclic
4-codes to cyclic
pm-codes. Second, we establish connections between this new development and the results on cyclic
pm-codes obtained by Calderbank and Sloane. We produce generators for the cyclic
pm-codes which are analogs to those for cyclic
4-codes. We show that these may be used to produce a single generator for such codes. In particular, this proves that the ringRn=
pm[x]/(xn− 1) is principal, a result that had been previously announced with an incorrect proof. Generators for dual codes of cyclic
pm-codes are produced from the generators of the corresponding cyclic
pm-codes. In addition, we also obtain generators for the cyclicpm-ary codes induced from the idempotent generators for cyclicp-ary codes. 相似文献
12.
Claude Marion 《代数通讯》2013,41(3):853-925
Let p 1, p 2, p 3 be primes. This is the second article in a series of three on the (p 1, p 2, p 3)-generation of the finite projective special unitary and linear groups PSU3(p n ), PSL3(p n ), where we say a noncyclic group is (p 1, p 2, p 3)-generated if it is a homomorphic image of the triangle group T p 1, p 2, p 3 . This paper is concerned with the case where p 1 = 2 and p 2 = p 3. We determine for any prime p 2 the prime powers p n such that PSU3(p n ) (respectively, PSL3(p n )) is a quotient of T = T 2, p 2, p 2 . We also derive the limit of the probability that a randomly chosen homomorphism in Hom(T, PSU3(p n )) (respectively, Hom(T, PSL3(p n ))) is surjective as p n tends to infinity. 相似文献
13.
Claude Marion 《代数通讯》2013,41(3):926-954
Let p1, p2, p3 be primes. This is the final paper in a series of three on the (p1, p2, p3)-generation of the finite projective special unitary and linear groups PSU 3(pn), PSL 3(pn), where we say a noncyclic group is (p1, p2, p3)-generated if it is a homomorphic image of the triangle group Tp1, p2, p3 . This article is concerned with the case where p1 = 2 and p2 ≠ p3. We determine for any primes p2 ≠ p3 the prime powers pn such that PSU 3(pn) (respectively, PSL 3(pn)) is a quotient of T = T2, p2, p3 . We also derive the limit of the probability that a randomly chosen homomorphism in Hom(T, PSU 3(pn)) (respectively, Hom(T, PSL 3(pn))) is surjective as pn tends to infinity. 相似文献
14.
С. А. Пичугов 《Analysis Mathematica》1991,17(1):21-33
LetA and be two arbitrary sets in the real spaceL
p, 1p<. Sufficient conditions are obtained for their strict separability by a hyperplane, in terms of the distance between the setsd(A,B)
p=inf{x-yp,xA,yB} and their diametersd(A)
p, d(B)p, whered(A)
p=sup{x-yp; x,yA}. In particular, it is proved that if in an infinite-demensional spaceL
p we haved
r(A,B)p>2–r+1(dr(A)p+dr(B)p), r=min{p, p(p–1)–1}, then there is a hyperplane which separatesA andB. On the other hand, the conditiond
r(A,B)p=2–r+1(dr(A)p+dr(B)p) does not guarantee strict separability. Earlier these results where obtained by V. L. Dol'nikov for the case of Euclidean spaces. 相似文献
15.
Paul F. X. Müller 《Israel Journal of Mathematics》1988,63(2):212-222
LetX
D
p
be the span of the Haar function {h
j: J ε D} inL
p (1 <p < ∞) endowed withL
p norm. Then for any finite setD, the spacesX
D
p
andl
*D
p
areK
p-isomorphic whereK
p depends onp only. 相似文献
16.
Liu Xianfang 《数学学报(英文版)》1996,12(3):234-243
This paper mainly deals with minimal algebraic surfaces of general type withK
2=2p
g–1. We prove that forp
g7 all these surfaces are birational to a double cover of some rational surfaces, and all but a finite classes of them have a unique fibration of genus 2; then we study their structures by determining their branch loci and singular fibres. We study similarly for surfaces withp
g=5, 6. Lastly we show that whenp
g13 all these surfaces are simply-connected. 相似文献
17.
Ken-iti Sato 《Annals of the Institute of Statistical Mathematics》1987,39(1):407-415
Summary For a unimodal distribution relations of its modea with its absolute momentβ
p
and central absolute momentγ
p
of orderp are considered. The best constantA
p
andB
p
are given for the inequalities |a|≦A
p
β
p
1/p
(p>0) and |a−m|≦B
p
γ
p
1/p
(p≧1) wherem is the mean. the results follow from discussion of more general moments. 相似文献
18.
A survey of orthogonal arrays of strength two 总被引:1,自引:0,他引:1
ASURVEYOFORTHOGONALARRAYSOFSTRENGTHTWOLIUZHANGWEN(刘璋温)(InstituteofAppliedMathematics.theChineseAcademyofScietices.Beijing1000... 相似文献
19.
Codes over p-adic numbers and over integers modulo pd of block length pm invariant under the full affine group AGLm(Fp) are described. 相似文献
20.
Yong‐Cheol Kim 《Mathematische Nachrichten》2009,282(9):1278-1304
For a prime number p, let Q p be the p ‐adic field and let Q p d denote a vector space over Q p which consists of all d ‐tuples of Q p . Then we study the p ‐adic version of the Calderón–Zygmund decomposition, Carleson measures on the vector space Q p d +1 and the space BMO ( Q p d ) of functions of bounded mean oscillation on Q p d . In particular, it turns out that the operator norms of various oncoming operators are independent of the dimension d and the prime number p, which is one of the big differences from that of the Euclidean case. Interestingly, the independence of the dimension d and p makes it possible to develop Harmonic Analysis on the infinite dimensional p ‐adic vector space as the importance had already been pointed out in the Euclidean case (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献