共查询到20条相似文献,搜索用时 171 毫秒
1.
Let (X,T) be a topological dynamical system and be a sub-additive potential on C(X,R). Let U be an open cover of X. Then for any T-invariant measure μ, let . The topological pressure for open covers U is defined for sub-additive potentials. Then we have a variational principle:
2.
3.
Chunlin Wang 《Journal of Mathematical Analysis and Applications》2008,348(2):938-970
Suppose that α∈(0,2) and that X is an α-stable-like process on Rd. Let F be a function on Rd belonging to the class Jd,α (see Introduction) and be ∑s?tF(Xs−,Xs), t>0, a discontinuous additive functional of X. With neither F nor X being symmetric, under certain conditions, we show that the Feynman-Kac semigroup defined by
4.
Michael Solomyak 《Journal of Approximation Theory》2003,121(2):199-219
Some results on the approximation of functions from the Sobolev spaces on metric graphs by step functions are obtained. In particular, we show that the approximation numbers an of the embedding operator of the Sobolev space on a graph G of finite length |G| into the space , where μ is an arbitrary finite Borel measure on G, satisfy the inequality
5.
Dikran Dikranjan Dmitri Shakhmatov 《Journal of Mathematical Analysis and Applications》2010,363(1):42-330
For an abelian topological group G, let denote the dual group of all continuous characters endowed with the compact open topology. Given a closed subset X of an infinite compact abelian group G such that w(X)<w(G), and an open neighborhood U of 0 in T, we show that . (Here, w(G) denotes the weight of G.) A subgroup D of G determines G if the map defined by r(χ)=χ?D for , is an isomorphism between and . We prove that
6.
Suppose T is a bounded self-adjoint operator on the Hilbert space L2(X,μ) and let
7.
J.P.C. Greenlees 《Journal of Pure and Applied Algebra》2008,212(1):72-98
We construct an abelian category A(G) of sheaves over a category of closed subgroups of the r-torus G and show that it is of finite injective dimension. It can be used as a model for rational G-spectra in the sense that there is a homology theory
8.
Mahamadi Warma 《Journal of Mathematical Analysis and Applications》2007,336(2):1132-1148
Let Ω⊂RN be a bounded domain with Lipschitz boundary, with a>0 on . Let σ be the restriction to ∂Ω of the (N−1)-dimensional Hausdorff measure and let be σ-measurable in the first variable and assume that for σ-a.e. x∈∂Ω, B(x,⋅) is a proper, convex, lower semicontinuous functional. We prove in the first part that for every p∈(1,∞), the operator Ap:=div(a|∇u|p−2∇u) with nonlinear Wentzell-Robin type boundary conditions
9.
Marek Cezary Zdun 《Journal of Mathematical Analysis and Applications》2008,342(1):340-348
We prove that for every orientation-preserving homeomorphism possessing periodic points of order n there exist a homeomorphism such that Tn=id and a homeomorphism without periodic points except fixed points such that
F=Tq○G 相似文献
10.
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
11.
Lili Zhang 《Discrete Mathematics》2008,308(24):6588-6595
Let G be an infinite graph embedded in a surface such that each open face of the embedding is homeomorphic to an open disk and is bounded by finite number of edges. For each vertex x of G, we define the combinatorial curvature
12.
María Burgos Moisés Villegas-Vallecillos 《Journal of Mathematical Analysis and Applications》2009,359(1):1-117
Let T:Lip0(X)→Lip0(Y) be a surjective map between pointed Lipschitz ∗-algebras, where X and Y are compact metric spaces. On the one hand, we prove that if T satisfies the non-symmetric norm ∗-multiplicativity condition:
13.
14.
K.V. Storozhuk 《Journal of Mathematical Analysis and Applications》2007,332(2):1365-1370
If (Tt)t?0 is a bounded C0-semigroup in a Banach space X and there exists a compact subset K⊆X such that
15.
C.G.J. Roettger 《Journal of Number Theory》2005,113(1):69-83
Ledrappier introduced the following type of space of doubly indexed sequences over a finite abelian group G,
16.
17.
Given a graph G, for an integer c∈{2,…,|V(G)|}, define λc(G)=min{|X|:X⊆E(G),ω(G−X)≥c}. For a graph G and for an integer c=1,2,…,|V(G)|−1, define,
18.
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
19.
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
20.
Feng Tan 《Topology and its Applications》2011,158(3):533-541