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1.
B. I. Peleshenko 《Ukrainian Mathematical Journal》2005,57(11):1741-1762
We prove theorems on interpolation of quasilinear operators of weak type (ϕ0, ψ0, ϕ0, ψ1) in Lorentz spaces. The operators under study are analogs of the Calderón operator and the Benett operator for concave and
convex functions ϕ0(t), ψ0(t), ϕ1(t), and ψ1(t).
__________
Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 57, No. 11, pp. 1490–1507, November, 2005. 相似文献
2.
Novikov superalgebras are related to quadratic conformal superalgebras which correspond to the Hamiltonian pairs and play
a fundamental role in completely integrable systems. In this note we show that the Novikov superalgebras with A
0 = A
1
A
1 and dim A
1 = 2 are of type N and give a class of Novikov superalgebras of type S with A
0 = A
1
A
1. 相似文献
3.
Behrooz Mirzaii 《Mathematische Annalen》2008,340(1):159-184
The homology of GL
n
(R) and SL
n
(R) is studied, where R is a commutative ‘ring with many units’. Our main theorem states that the natural map H
4(GL3(R), k) → H
4(GL4(R), k) is injective, where k is a field with char(k) ≠ 2, 3. For an algebraically closed field F, we prove a better result, namely, is injective. We will prove a similar result replacing GL by SL. This is used to investigate the indecomposable part of the
K-group K
4(R). 相似文献
4.
In this paper we investigate a certain linear combination K([(x)\vec])=K(a;b,c,d;e,f,g)K(\vec{x})=K(a;b,c,d;e,f,g) of two Saalschutzian hypergeometric series of type 4
F
3(1). We first show that K([(x)\vec])K(\vec{x}) is invariant under the action of a certain matrix group G
K
, isomorphic to the symmetric group S
6, acting on the affine hyperplane V={(a,b,c,d,e,f,g)∈ℂ7:e+f+g−a−b−c−d=1}. We further develop an algebra of three-term relations for K(a;b,c,d;e,f,g). We show that, for any three elements μ
1,μ
2,μ
3 of a certain matrix group M
K
, isomorphic to the Coxeter group W(D
6) (of order 23040) and containing the above group G
K
, there is a relation among K(m1[(x)\vec])K(\mu_{1}\vec{x}), K(m2[(x)\vec])K(\mu_{2}\vec{x}), and K(m3[(x)\vec])K(\mu_{3}\vec{x}), provided that no two of the μ
j
’s are in the same right coset of G
K
in M
K
. The coefficients in these three-term relations are seen to be rational combinations of gamma and sine functions in a,b,c,d,e,f,g. 相似文献
5.
6.
We examine some designs and binary codes constructed from the primitive permutation representations of the groups PSL
2(8) and PSL
2(9). For PSL
2(8) of degree 36, we construct a design and its code with the automorphism groups PSL
2(8) and S
9, respectively. For PSL
2(8) of degree 36 and PSL
2(9) of degree 15, we construct some designs and its codes invariant under the groups S
9 and A
8, respectively. The weight distribution and the dual of these codes are determined. By considering the action of automorphism
groups on some of these codes, we obtain the structure of the stabilizer for every codeword and construct some designs such
that S
9 or A
8 act primitively on them.
相似文献
7.
Michael Schlosser 《The Ramanujan Journal》2008,17(3):305-319
By multidimensional matrix inversion, combined with an A
r
extension of Jackson’s 8
φ
7 summation formula by Milne, a new multivariable 8
φ
7 summation is derived. By a polynomial argument this 8
φ
7 summation is transformed to another multivariable 8
φ
7 summation which, by taking a suitable limit, is reduced to a new multivariable extension of the nonterminating 6
φ
5 summation. The latter is then extended, by analytic continuation, to a new multivariable extension of Bailey’s very-well-poised
6
ψ
6 summation formula.
Partly supported by FWF Austrian Science Fund grants P17563-N13, and S9607 (the second is part of the Austrian National Research
Network “Analytic Combinatorics and Probabilistic Number Theory”). 相似文献
8.
B. Roy 《Acta Mathematica Hungarica》2010,127(3):291-300
Characterizations of some properties of generalized R
0 and R
1 topological spaces by using closure operator defined on a generalized topological space will be given. It is also shown that
many results done in this area in some previous papers can be considered as special cases of our results. 相似文献
9.
Given 1≤ p,q < ∞, let BLpLq be the class of all Banach lattices X such that X is isometrically lattice isomorphic to a band in some Lp(Lq)-Banach lattice. We show that the range of a positive contractive projection on any BLpLq-Banach lattice is itself in BLpLq. It is a consequence of this theorem and previous results that BLpLq is first-order axiomatizable in the language of Banach lattices. By studying the pavings of arbitrary BLpLq-Banach lattices by finite dimensional sublattices that are themselves in this class, we give an explicit set of axioms for
BLpLq. We also consider the class of all sublattices of Lp(Lq)-Banach lattices; for this class (when p/q is not an integer) we give a set of axioms that are similar to Krivine’s well-known axioms for the subspaces of Lp-Banach spaces (when p/2 is not an integer). We also extend this result to the limiting case q = ∞. 相似文献
10.
S. V. Lapin 《Journal of Mathematical Sciences》2008,152(3):372-403
This paper is devoted to the introduction of a D
∞-differential analog of the notion of an E
∞-(co)algebra and to the construction of generalized Steenrod operations in terms of multiplicative spectral sequences. In
this paper, we investigate basic homotopy properties of D
∞-differential E
∞-(co)algebras and construct a spectral sequence of a D
∞-differential E
∞-(co)algebra.
__________
Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 43, Topology
and Its Applications, 2006. 相似文献
11.
12.
A. M. Shapiro 《Theoretical and Mathematical Physics》2010,165(2):1421-1434
We establish explicit isomorphisms between three realizations of the quantum twisted affine algebra U
q
(A
2
(2): the Drinfeld current realization, the Chevalley realization, and the so-called RLL realization proposed by Reshetikhin, Takhtajan,
and Faddeev. 相似文献
13.
Louis Hugo Brewis 《manuscripta mathematica》2008,126(3):293-313
Let k be an algebraically closed field of characteristic p and let
G \hookrightarrow Autk(k[[ t ]] ){G \hookrightarrow {\rm Aut}_k(k\left[\kern-0.15em\left[ t \right]\kern-0.15em\right] )} be a faithful action on a local power series ring over k. Let R be a discrete valuation ring of characteristic 0 with residue field k. One asks, whether it is possible to find a faithful action
G \hookrightarrow AutR(R[[ t ]] ){G \hookrightarrow {\rm Aut}_R(R\left[\kern-0.15em\left[ t \right]\kern-0.15em\right] )} which reduces to the given action, i.e., a lift to characteristic 0. We show that liftable actions exists in the case that G = D
4 and p = 2. In fact we introduce a family, the supersimple D
4-actions, which can always be lifted to characteristic 0. 相似文献
14.
M. R. Salarian 《Ukrainian Mathematical Journal》2011,62(11):1835-1837
For the groups M
11 and L
3(3), we show that their commuting graphs are unique. 相似文献
15.
N. V. Parfinovych 《Ukrainian Mathematical Journal》2005,57(10):1652-1662
We determine the exact order of relative widths of classes W
1
r
of periodic functions in the space L
1 as n → ∞ under restrictions on higher derivatives of approximating functions.
__________
Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 57, No. 10, pp. 1409–1417, October, 2005. 相似文献
16.
Paul Corazza 《Archive for Mathematical Logic》2007,46(2):61-72
We describe a fairly general procedure for preserving I3 embeddings j: V
λ → V
λ via λ-stage reverse Easton iterated forcings. We use this method to prove that, assuming the consistency of an I3 embedding, V = HOD is consistent with the theory ZFC + WA where WA is an axiom schema in the language {∈, j} asserting a strong but not inconsistent form of “there is an elementary embedding V → V”. This improves upon an earlier result in which consistency was established assuming an I1 embedding.
相似文献
17.
The main purpose of this paper is to use the strong stability method to approximate the characteristics of the M
2/G
2/1 queue with preemptive priority by those of the classical M/G/1 queue. The latter is simpler and more exploitable in practice. After perturbing the arrival intensity of the priority requests,
we derive the stability conditions and next obtain the stability inequalities with an exact computation of constants. From
those theoretical results, we elaborate an algorithm allowing us to verify the approximation conditions and to provide the
made numerical error. In order to have an idea about the efficiency of this approach, we consider a concrete example whose
results are compared with those obtained by simulation. 相似文献
18.
We construct examples of exponentially asymptotically cylindrical (EAC) Riemannian 7-manifolds with holonomy group equal to
G
2. To our knowledge, these are the first such examples. We also obtain EAC coassociative calibrated submanifolds. Finally,
we apply our results to show that one of the compact G
2-manifolds constructed by Joyce by desingularisation of a flat orbifold T
7/Γ can be deformed to give one of the compact G
2-manifolds obtainable as a generalized connected sum of two EAC SU(3)-manifolds via the method of Kovalev (J Reine Angew Math 565:125–160, 2003). 相似文献
19.
Hong Ya GAO Shu Qing ZHOU 《数学学报(英文版)》2007,23(12):2241-2246
We obtain a new inequality for weakly (K1,K2)-quasiregular mappings by using the McShane extension method. This inequality can be used to derive the self-improving regularity of (K1, K2)-Quasiregular Mappings. 相似文献
20.
Let be a C4-design of order n and index , on the vertex set V, |V|=n. If V1Vm=V is a partition of the vertex set, such that the intersections of the with Vi form a P3-design of order |Vi| and the same index , for each 1im, then 2m log3(2n+1). The minimum bound is best possible for every . The maximum bound is best possible for =2, and hence also for every even .Supported by MIUR, Italy and CNR-GNSAGAAlso affiliated with the Department of Computer Science, University of Veszprém, Hungary; supported in part by the Hungarian Scientific Research Fund, grant OTKA T-32969AMS classification: 05B05 相似文献