共查询到20条相似文献,搜索用时 31 毫秒
1.
Bogdan Batko 《Journal of Mathematical Analysis and Applications》2008,339(1):303-311
Let map an abelian semigroup (S,+) into a Banach space (X‖⋅‖). We deal with stability of the following alternative functional equation
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Let be a sequence of i.i.d. random variables taking values in a real separable Hilbert space (H,‖⋅‖) with covariance operator Σ, and set Sn=X1+?+Xn, n?1. Let . We prove that, for any 1<r<3/2 and a>−d/2,
3.
Jiang Ye 《Journal of Mathematical Analysis and Applications》2007,327(1):695-714
Let be a sequence of i.i.d. random variables with EX=0 and EX2=σ2<∞. Set , Mn=maxk?n|Sk|, n?1. Let r>1, then we obtain
4.
Yuexu Zhao 《Journal of Mathematical Analysis and Applications》2008,339(1):553-565
Let X1,X2,… be a strictly stationary sequence of ρ-mixing random variables with mean zeros and positive, finite variances, set Sn=X1+?+Xn. Suppose that , , where q>2δ+2. We prove that, if for any 0<δ?1, then
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Let X be a real finite-dimensional normed space with unit sphere SX and let L(X) be the space of linear operators from X into itself. It is proved that X is an inner product space if and only if for A,C∈L(X)
6.
Dianliang Deng 《Journal of Mathematical Analysis and Applications》2011,376(1):136-153
Let X,X1,X2,… be a sequence of nondegenerate i.i.d. random variables with zero means. Set Sn=X1+?+Xn and . In the present paper we examine the precise asymptotic behavior for the general deviation probabilities of self-normalized sums, Sn/Wn. For positive functions g(x), ?(x), α(x) and κ(x), we obtain the precise asymptotics for the following deviation probabilities of self-normalized sums:
7.
Let X be a finite simply connected CW complex of dimension n. The loop space homology H∗(ΩX;Q) is the universal enveloping algebra of a graded Lie algebra LX isomorphic with π∗−1(X)⊗Q. Let QX⊂LX be a minimal generating subspace, and set .Theorem: If dimLX=∞ and , then
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9.
Ohad Giladi 《Journal of Functional Analysis》2011,260(1):164-194
It is shown that if (X,‖⋅X‖) is a Banach space with Rademacher cotype q then for every integer n there exists an even integer such that for every we have
(1) 相似文献
10.
Jung-Rye Lee 《Journal of Mathematical Analysis and Applications》2008,339(1):372-383
Let X and Y be Banach spaces and f:X→Y an odd mapping. We solve the following generalized additive functional equation
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Xiongping Dai 《Journal of Mathematical Analysis and Applications》2011,379(2):827-3629
Let S={Si}i∈I be an arbitrary family of complex n-by-n matrices, where 1?n<∞. Let denote the joint spectral radius of S, defined as
12.
Let X1,X2,…,Xq be a system of real smooth vector fields satisfying Hörmander's rank condition in a bounded domain Ω of Rn. Let be a symmetric, uniformly positive definite matrix of real functions defined in a domain U⊂R×Ω. For operators of kind
13.
I. Mundet i Riera 《Advances in Mathematics》2009,222(4):1117-1196
Given compact symplectic manifold X with a compatible almost complex structure and a Hamiltonian action of S1 with moment map , and a real number K?0, we compactify the moduli space of twisted holomorphic maps to X with energy ?K. This moduli space parameterizes equivalence classes of tuples (C,P,A,?), where C is a smooth compact complex curve of fixed genus g, P is a principal S1 bundle over C, A is a connection on P and ? is a section of PS1×X satisfying
14.
Piotr Niemiec 《Topology and its Applications》2007,154(3):655-664
The aim of this paper is to answer the following question: let (X,?) and (Y,d) be metric spaces, let A,B⊂Y be continuous images of the space X and let be a fixed continuous surjection. When is the inequality
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A. Jiménez-Vargas 《Journal of Mathematical Analysis and Applications》2008,337(2):984-993
Given a real number α∈(0,1) and a metric space (X,d), let Lipα(X) be the algebra of all scalar-valued bounded functions f on X such that
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For a simplicial complex X and a field K, let .It is shown that if X,Y are complexes on the same vertex set, then for k?0
19.
Let (X,d,μ) be a metric measure space. For ∅≠R⊆(0,∞) consider the Hardy-Littlewood maximal operator
20.
Fernanda Botelho James E. Jamison 《Journal of Mathematical Analysis and Applications》2011,381(2):821-832
For a Banach space E and a compact metric space (X,d), a function F:X→E is a Lipschitz function if there exists k>0 such that