共查询到20条相似文献,搜索用时 15 毫秒
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This paper shows thatW
1,p
-quasiconvexity is a necessary and sufficient condition of swlsc (sw*lsc) for multiple integrals with a Caratheodory function as the variational function, bounded by
相似文献
3.
J. M. Aldaz 《Acta Mathematica Hungarica》2001,90(1-2):141-149
We show that the Lebesgue differentiation theorem does not hold in Ρ with the “product” Lebesgue measure.
This revised version was published online in June 2006 with corrections to the Cover Date. 相似文献
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在非线性凸规划中,凸共轭函数理论对建立对偶理论起着重要作用.本文试图对这一凸共轭函数概念加以推广,建立一类广义的共轭函数理论-(H,(?))共轭函数理论.在凸分析中,一个函数的凸共轭是通过一簇线性函数确定的.事实上,设 相似文献
7.
SONG Yongsheng & YAN Jia''''an Institute of Applied Mathematics Academy of Mathematics Systems Science Chinese Academy of Sciences Beijing China 《中国科学A辑(英文版)》2006,49(10)
This article gives the representations of two types of real functionals on Z∞(Ω,F) or L∞(Ω,F,P) in terms of Choquet integrals. These functionals are comonotonically subadditive and comonotonically convex, respectively. 相似文献
8.
Aut(Ω) denotes the group of all order preserving permutations of the totally ordered set Ω, and if e ≤ u ∈ Aut(Ω), then B
u
Aut(Ω) denotes the subgroup of all those permutations bounded pointwise by a power of u. It is known that if Aut(Ω) is highly transitive, then Aut(Ω) has just five normal subgroups. We show that if Aut(Ω) is highly
transitive and u has just one interval of support, then B
u
Aut(Ω) has normal subgroups, and there is a certain ideal of the lattice of subsets of (), the power set of the integers, such that the lattice of normal subgroups of every such Aut(Ω) is isomorphic to .
To Bernhard Banaschewski on the occasion of his 80th birthday. 相似文献
9.
《数学物理学报(A辑)》2010,(6)
该文计算了两个指标的Cowen-Douglas算子的换位代数及换位代数的Jacobson根;证明了某一类强不可约的两个指标的Cowen-Douglas算子的换位代数具有本质可交换性,并证明了其换位代数的K_0群同构于整数群Z. 相似文献
10.
设L=W或S,F是特征数大于2的域.本文证明了F上的有限维单李超代数L(m,n,t)的自然滤过是不变的.进而得出了L(m,n,t)与L(m′,n′,t′)同构的充要条件是m=m′,n=n′和ti=τ(t′i),i=1,2,…,m,这里τ是{1,2,…,m}的一个置换. 相似文献
11.
Bart De Bruyn 《Graphs and Combinatorics》2012,28(6):791-805
Intriguing sets of vertices have been studied for several classes of strongly regular graphs. In the present paper, we study intriguing sets for the graphs Γ n , n ≥ 2, which are defined as follows. Suppose Q(2n, 2), n?≥ 2, is a nonsingular parabolic quadric of PG(2n, 2) and Q +(2n ? 1, 2) is a nonsingular hyperbolic quadric obtained by intersecting Q(2n, 2) with a suitable nontangent hyperplane. Then the collinearity relation of Q(2n, 2) defines a strongly regular graph Γ n on the set Q(2n, 2) \ Q +(2n ? 1, 2). We describe some classes of intriguing sets of Γ n and classify all intriguing sets of Γ2 and Γ3. 相似文献
12.
戴桂生 《数学年刊A辑(中文版)》1990,(5)
设g=g_(-1)+g_0+g_1是由阶化向量空间V=V_0+V_1的线性变换所构成的李超代数。通过上诱导模,定义了外代数Λ(g_1)的g模结构,这儿g_1=V_1(?)V_0~*,并决定了它的全部子(g_0+g_1),(g_0+g_(-1))、g模。 相似文献
13.
Consideration of the analytic continuation of the Eisenstein series of weight 3/2 for the group 0(4) leads to a new proof of Mordell's formula connecting the values X()=
m=1
F(m)eim, Im > 0, and (–1/). The behavior of the function () for 0(4) is examined by the same method.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 64, pp. 69–79, 1976. 相似文献
14.
We prove that the singular numbers of the Cauchy transform
onL
2(D) are asymptotically
, whiles
n
(C
|
L
a
2
(D))1/n (whereL
a
2
(D) is the subspace of analytic functions inL
2(D)). Also, the singular numbers of the logarithmic potential
onL
2(D) are asympoticallys
n
(L)1/n, whiles
n(L
|L
a
2
(D))1/n
2. Our methods yield the asymptotic behavior of the singular numbers of the Cauchy Transform fromL
L
2
() intoL
2() where and are rotation-invariant measures on
.The author was partly supported by a grant from the national Science Foundation. 相似文献
15.
Jia Gao 《高校应用数学学报(英文版)》2007,22(2)
Let Lp(Ω, Hn) indicate the Lp-space of the maps for Heisenberg group target. In this paper some new properties are obtained for the space Lp(Ω, Hn). 相似文献
16.
This paper presents an algorithm for computing a linear recurrence system R(n, m) of order m for n equations on MIMD parallel system. This algorithm is not only easy to be programmed on a parallel computer system, but also reduces the data-waiting time due to compute-ahead strategy. The paper analyses how to achieve maximal load balancing when the algorithm is implemented on MIMD parallel system. By the end of the paper, an analysis on the speedup and parallel efficiency are given. The results indicate that the new parallel elimination algorithm has great improvement compared with the old ones. 相似文献
17.
In(1),(2),we have introduced the approximation problem of almost isometry 相似文献
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对偶理论是非线性规划理论的一个重要组成部分,目前较成熟和完善的仅是凸规划的对偶理论.对于非凸规划对偶问题的研究仅有少量的工作完成,其结果也不令人满意.文献[1]就凸共轭函数进行了推广,建立了(H,(?))共轭函数理论,这一理论为凸对偶向非凸对偶迈进提供了基础.本文应用这一(H,(?))共轭函数理论,提出并建立了非线性规划的(H,(?))对偶理论.应用表明,在特殊簇 H 及(?)下,迄今为止几乎所有非线性规划的对偶理论都是这一对偶框架下的特殊形式,因此可以说,它是对偶理论的一个突破. 相似文献
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R. Triggiani 《Applied Mathematics and Optimization》1988,18(1):241-277
Consider the wave equation defined on a smooth bounded domain R
n
with boundary = 0 1. The control action is exercised in the Dirichlet boundary conditions only on 1 and is of classL
2(0,T: L
2(1)); instead, homogeneous boundary conditions of Dirichlet (or Neumann) type are imposed on the complementary part 0. The main result of the paper is a theorem which, under general conditions on the triplet {, 0, 1} with 0 , guarantees exact controllability on the spaceL
2() ×H
–1() of maximal regularity forT greater than a computable timeT
0>0, which depends on the triplet. This theorem generalizes prior results by Lasiecka and the author [L-T.3] (obtained via uniform stabilization) and by Lions [L.5], [L.6] (obtained by a direct approach, different from the one followed here). The key technical issue is a lower bound on theL
2(1)-norm of the normal derivative of the solution to the corresponding homogeneous problem, which extends to a larger class of triplets {, 0, 1} prior results by Lasiecka and the author [L-T.3] and by Ho [H.1].This research was partially supported by the National Science Foundation under Grant NSF-DMS-8301668 and by the Air Force Office of Scientific Research under Grant AFOSR-84-0365. This paper was presented at the IFIP WG7.2 Conference on Boundary Control and Boundary Variations held at the Départment de Mathématiques, Universite de Nice, 10–13 June 1986; at the International Conference on Control of Distributed Parameter Systems held at Vorau (Austria), 6–12 July 1986; and at the Second Workshop on Control of Systems Governed by Partial Differential Equations held at Val David, Quebec, 5–9 October 1986. 相似文献
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