共查询到20条相似文献,搜索用时 15 毫秒
1.
Let X be a metric space andμa finite Borel measure on X. Let pμq,t and pμq,t be the packing premeasure and the packing measure on X, respectively, defined by the gauge (μB(x,r))q(2r)t, where q, t∈R. For any compact set E of finite packing premeasure the authors prove: (1) if q≤0 then pμq,t(E)=pμq,t(E);(2)if q>0 andμis doubling on E then pμq,t(E) and pμq,t(E) are both zero or neither. 相似文献
2.
陈传钟 《数学物理学报(B辑英文版)》2007,27(1):219-224
This article discusses the perturbation of a non-symmetric Dirichlet form,(ε, D(ε)), by a signed smooth measure μ, whereμ=μ1 -μ2 with μ1 and μ2 being smooth measures. It gives a sufficient condition for the perturbed form (εμ, D(εμ)) (for some αo ≥ 0) to be a coercive closed form. 相似文献
3.
Let be a domain with a Jordan boundary ∂G, consisting of l smooth curves Γj, such that {zj}Γj-1∩Γj≠, j=1,…,l, where Γ0Γl. Denote by αjπ, 0<αj2, the angles at zj's between the curves Γj-1 and Γj, exterior with respect to G. Let Φ be a conformal mapping of the exterior of onto the exterior of the unit disk, normed by Φ′(∞)>0. We assume that there is a neighborhood U of , such that , wherez≠zj if αj1. Set gGsup{|g(z)|:zG}. Then we prove Theorem. Let and 0βr. If a function f is analytic in G and f(r)βG<+∞, then for each nlr there is an algebraic polynomial Pn of degree <n, such that 相似文献
4.
Let G be a simple graph with n vertices, m edges. Let Δ and δ be the maximum and minimum degree of G, respectively. If each edge of G belongs to t triangles (t≥1), then we present a new upper bound for the Laplacian spectral radius of G as follows: Moreover, we give an example to illustrate that our result is, in some cases, the best. 相似文献
5.
Fordyce A. Davidson Bryan P. Rynne 《Journal of Mathematical Analysis and Applications》2004,300(2):491-504
Let TR be a time-scale, with a=infT, b=supT. We consider the nonlinear boundary value problem (2) (4)
u(a)=u(b)=0,