共查询到20条相似文献,搜索用时 15 毫秒
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杨新建 《数学物理学报(A辑)》2003,23(5):545-553
设X(t)=X(0)+∫^t_0α(X(s))dB(s)+∫^t_0β( X(s))ds为一d(d≥3)维非退化扩散过程。令X(E)={X(t): t∈E}, GRX(E)={(t,X(t)): t∈E},该文证明了:对几乎所有ω:E B([0,∞)),有dimX(E,ω)=dimGRX(E,ω)=2dimE,这里dimF表示F的Hausdorff维数。 相似文献
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邓春源 《数学物理学报(A辑)》2009,29(6):1477-1486
设P, Q为Hilbert空间H上的幂等算子, 关于算子$P$的广义幂等算子类ω(P)定义为ω(P)={A∈B}(H): A2=αA+βP, AP=PA=A,P2=P,∨α, β∈C}. 对任意A ∈ω(P), B∈ω(Q)使得A2=αA +βP, B2=mB+nQ,βn≠ 0, 得到了如下的结论: 值域R(PQ)是闭的充要条件是值域R(AB)是闭的; 如果P-Q是可逆的, 则A-B是可逆的. 相似文献
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作者研究了相对宽度Kn(W2α(T), MW2β(T), L2(T)), T=[0,2π], 确定了使等式Kn(W2α(T), MW2β(T), L2(T))=dn(W2α(T), L2(T))成立的最小M值, 得到了相对宽度Kn(W2α(T), W2α(T), Lq(T))的渐近阶, 其中α≥β>0, 1≤q≤∞, Kn(., ., Lq(T)) 和 dn(., Lq(T))分别表示Kolmogorov意义下Lq(T)尺度下的相对宽度和宽度, MWpα(T), 1≤ p≤∞, 表示有如下卷积表达式的2π 周期函数类, f(t)=c+(Bα* g)(t),c∈ R, Bα*g 表示 Bα 和g 的卷积, g∈Lp(T) 满足∫02πg(τ)dτ=0 和||g||p≤M, Bα∈ L1(T) 有如下Fourier展开: Bα(t)=1/2π∑' k∈ Z(ik)-αeikt,∑'表示去掉 k=0的项. 相似文献
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陈洁 《数学物理学报(A辑)》2003,23(2):129-134
该文用拓扑度理论证明了一阶微分方程周期边值问题关于下解与上解之间解的存在性的两个定理,这里下解α(t)与上解β(t)可以不满足关系α(0)≤α(2π),β(0)≥β(2π) 相似文献
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本文在周期Triebel-Lizorkin空间F_(p,q)~s(T;X)上研究二阶有限时滞退化微分方程(Mu')'(t)+αu'(t)=Au(t)Gu'_t+Fu_t+f(t)(t∈T:=[0,2π]),u(0)=u(2π),(Mu')(0)=(Mu')(2π)的适定性.利用Triebel-Lizorkin空间上算子值傅里叶乘子定理,给出上述方程是F_(p,q~-)~s适定的充要条件. 相似文献
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研究了多重C~*-动力系统在Hilbert C~*-模上表示的膨胀.设(A,α)是一个多重C~*-动力系统,(π,T,E)是(A,α)的行压缩协变表示,证明了存在(π,T,E)的等距膨胀(ρ,V,F). 相似文献
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Kobayashi’s and Teichmuller’s Metrics and Bers Complex Manifold Structure on Circle Diffeomorphisms
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Yun Ping JIANG 《数学学报(英文版)》2020,36(3):245-272
Given a modulus of continuity ω,we consider the Teichmuller space TC1+ω as the space of all orientation-preserving circle diffeomorphisms whose derivatives are ω-continuous functions modulo the space of Mobius transformations preserving the unit disk.We study several distortion properties for diffeomorphisms and quasisymmetric homeomorphisms.Using these distortion properties,we give the Bers complex manifold structure on the Teichm(u| ")ller space TC^1+H as the union of over all0 <α≤1,which turns out to be the largest space in the Teichmuller space of C1 orientation-preserving circle diffeomorphisms on which we can assign such a structure.Furthermore,we prove that with the Bers complex manifold structure on TC^1+H ,Kobayashi’s metric and Teichmuller’s metric coincide. 相似文献
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张丽莉 《数学物理学报(A辑)》2009,29(5):1426-1433
该文使用锥不动点定理研究了四阶周期边值问题u(4)-m4u+F(t, u(τ(t)))=0, 0 < t < 2π, u(i)(0)=u(i)(2π),~ i=0,1, 2, 3, 这里 F: [0,2π ]×R+→R+ 和τ: [0, 2π]→[0, 2π] 是连续的, 0-7. 相似文献
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Guanggui Ding 《中国科学A辑(英文版)》2003,46(3):333-338
In this paper, we first derive the representation theorem of onto isometric mappings in the unit spheres of l
p
(Г) (@#@(p >) 1,p ≠ 2 type spaces, and then we conclude that such mappings can be extended to the whole space as real linear isometries
by using the previous result of the author. 相似文献
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Taishun Liu 《Journal of Mathematical Analysis and Applications》2004,295(2):404-417
In this paper, we consider a normalized biholomorphic mapping f(x) defined on the unit ball in a complex Banach space, where the origin 0 is a zero of order k+1 of f(x)−x. The precise growth and covering theorem for f(x) is obtained when f(x) is a starlike mapping or a starlike mapping of order α. Especially, the precise growth and covering theorem for f(x) is also established when f(x) is a quasi-convex mapping. Moreover, the precise distortion theorem for f(x) is given when f(x) is a convex mapping. Our result includes many known results. 相似文献
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令Gp 为p级数域.在文献[9]中, G.Gát 和 K.Nagy 已经证明p级数域的重排特征系统的(C,1)极大算子是强 (q, q)型(1
αn f 几乎处处收敛于f. 相似文献
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In this paper, we obtain a version of subordination lemma for hyperbolic disk relative to hyperbolic geometry on the unit disk D. This subordination lemma yields the distortion theorem for Bloch mappings f ∈ H(B^n) satisfying ||f||0 = 1 and det f'(0) = α ∈ (0, 1], where||f||0 = sup{(1 - |z|^2 )n+1/2n det(f'(z))[1/n : z ∈ B^n}. Here we establish the distortion theorem from a unified perspective and generalize some known results. This distortion theorem enables us to obtain a lower bound for the radius of the largest univalent ball in the image of f centered at f(0). When a = 1, the lower bound reduces to that of Bloch constant found by Liu. When n = 1, our distortion theorem coincides with that of Bonk, Minda and Yanagihara. 相似文献
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尹建华 《数学物理学报(A辑)》2009,29(5):1376-1389
设K r +1是一个r +1个顶点的完全图. 一个可图序列π =(d1, d2,…, dn)称为是蕴含K r+1 -可图的, 如果π有一个实现包含
K r +1作为子图. 该文进一步研究了蕴含K r+1 -可图序列的一些新的条件, 证明了这些条件包含文献[14,10,11]中的一些主要结果和当n≥5r/2 +1时,σ(K r+1, n)之值(此值在文献[2]中被猜测, 在文献[6,7,8,3]中被证实). 此外, 确定了所有满足n≥5, d5≥4 且不蕴含K5 -可图序列π=(d1, d2,…, dn)的集合. 相似文献
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本文将定量最优A_p权理论推广到联系于ω-Calderón-Zygmund算子的q-变差情形.这些结果利用了Lerner最新给出的稀疏控制方法来控制q-变差,和Hyt?nen等关于q-变差的最优加权成果相比,本文涉及的ω仅需满足Dini条件,并且其截断是非光滑的. 相似文献
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与星象函数有关的拟共形近于凸调和映射 总被引:1,自引:0,他引:1
讨论了一类解析部分为星象函数的拟共形近于凸调和映射的基本性质,得到了此类映射的系数不等式、积分表达式、增长定理、面积定理与部分和的近于凸半径. 相似文献
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Suppose A is a unital C*-algebra and r 1.In this paper,we define a unital C*-algebra C_(cb)*(A,r) and a completely bounded unital homomorphism α_r:A → C_(cb)*(A,r)with the property that C_(cb)*(A,r)=C*(α_r(A))and,for every unital C*-algebra B and every unital completely bounded homomorphism φ:A→ B,there is a(unique)unital *-homomorphism π:C_(cb)*(A,r)→B such thatφ=πoα_r.We prove that,if A is generated by a normal set {t_λ:λ∈Λ},then C_(cb)*(A,r)is generated by the set {α_r(t_λ):λ∈Λ}.By proving an equation of the norms of elements in a dense subset of C_(cb)*(A,r)we obtain that,if Β is a unital C*-algebra that can be embedded into A,then C_(cb)*(B,r)can be naturally embedded into C(cb)*(A,r).We give characterizations of C_(cb)*(A,r)for some special situations and we conclude that C_(cb)*(A,r)will be "nice" when dim(A)≤ 2 and "quite complicated" when dim(A)≥ 3.We give a characterization of the relation between K-groups of A and K-groups of C_(cb)*(A,r).We also define and study some analogous of C_(cb)*(A,r). 相似文献