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1.
准凸映照齐次展开式的精细估计 总被引:1,自引:0,他引:1
本文给出C~n中单位多圆柱上和复Banach空间中单位球上的准凸映照(含A型准凸映照和B型准凸映照)f齐次展开式的精细估计,其中x=0是f(x)-x的k 1阶零点.同时,还讨论了复Banach空间单位球上准凸映照的构造,它为准凸映照齐次展开式的精细估计提供极值映照. 相似文献
2.
利用复的Hilbert空间中的Riesz基{xj}及其对偶Riesz基{yj},引入新的算子Φ({xj},{yj},{gj})(z),来构造出复的Hilbert空间中的单位球β上的一些双全纯凸映照或双全纯星形映照,利用复的Hilbert 空间中的框架理论,得到此算子的一些性质,给出由复平面C中的单位圆△上的单叶凸函数或单叶星形函数,来构造复的Hilbert 空间X中的单位球β上的双全纯凸映照或双全纯星形映照的一些具体例子,同时也引入一些双全纯凸映照或双全纯星形映照的子类. 相似文献
3.
本文将Cn中的Roper-Suffridge算子推广到任意复Banach空间中,并证明这种算子在任意复Banach空间中的某些区域上具有保持ε星形性,由此可以构造出任意复Banach空间,复Hilbert空间和Cn中的一些区域上的许多双全纯星形映照、双全纯凸映照、双全纯ε星形映照,同时,得到它们的增长定理等,将龚升与刘太顺,Roper与suffridge,Graham,Kohr等学者在Cn中的一些结果推广到任意复Banach空间或复Hilbert空间中. 相似文献
4.
本文利用复射影空间到欧氏空间的第一标准嵌入,对于复射影空间的子流形建立了一种广义的Gauss映照,并给出了这种广义的Gau8s映照是调和映照和相对仿射映照的条件。 相似文献
5.
本文定义了ε星形映照族,用统一的观点来处理复Banach空间、Cn及C中的各种区域上的凸映照族与星形映照族,研究它们之间是如何过渡的,并讨论了其判别准则及Roper-Suffridge算子. 相似文献
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7.
首先建立了C~n中单位多圆柱上一类近于凸映照子族精确的偏差定理,同时在复Banach空间单位球上也建立了该类映照精确的偏差定理的下界估计.其次在复Banach空间单位球上建立了准星形映照精确的偏差定理.所得结果将单复变中近于凸函数和星形函数的偏差定理推广至高维情形,并且对龚升提出的一个公开问题给出肯定的回答. 相似文献
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9.
设F(x)=p(x)eir(x)为单位圆周到约当凸曲线Γ上的保向同胚映照.本文证明:若ess inf|F’(x)|>0且对于一切的φ∈R有|F(φ+x)+F(φ-x)-2F(φ)|≤M|x|α,这里α>1,M为正常数,则ω=P[F](z)为单位圆到凸区域Ω=int(Γ)上为调和拟共形映照. 相似文献
10.
有界凸圆型域上的准凸映照 总被引:7,自引:1,他引:6
本文研究星形映照的一类子族——有界凸圆型城上的准凸映照,并讨论了它与星形映照及凸映照的关系,建立其与凸映照同形的增长定理和掩盖定理. 相似文献
11.
C.E. Chidume 《Journal of Mathematical Analysis and Applications》2003,282(2):756-765
Let E be a real uniformly smooth Banach space. Let A:D(A)=E→2E be an accretive operator that satisfies the range condition and A−1(0)≠∅. Let {λn} and {θn} be two real sequences satisfying appropriate conditions, and for z∈E arbitrary, let the sequence {xn} be generated from arbitrary x0∈E by xn+1=xn−λn(un+θn(xn−z)), un∈Axn, n?0. Assume that {un} is bounded. It is proved that {xn} converges strongly to some x∗∈A−1(0). Furthermore, if K is a nonempty closed convex subset of E and T:K→K is a bounded continuous pseudocontractive map with F(T):={Tx=x}≠∅, it is proved that for arbitrary z∈K, the sequence {xn} generated from x0∈K by xn+1=xn−λn((I−T)xn+θn(xn−z)), n?0, where {λn} and {θn} are real sequences satisfying appropriate conditions, converges strongly to a fixed point of T. 相似文献
12.
E. Allevi A. Gnudi I. V. Konnov S. Schaible 《Mathematical Methods of Operations Research》2007,65(2):293-303
New concepts of relative monotonicity were introduced in Konnov (Oper Res Lett 28:21–26, 2001a) which extend the usual ones.
These concepts enable us to establish new existence and uniqueness results for variational inequality problems over product
sets. This paper presents first-order characterizations of new (generalized) monotonicity concepts. Specialized results are
obtained for the affine case.
相似文献
13.
José F. Alves Ví tor Araú jo Benoî t Saussol 《Proceedings of the American Mathematical Society》2003,131(4):1303-1309
We give sufficient conditions for the uniform hyperbolicity of certain nonuniformly hyperbolic dynamical systems. In particular, we show that local diffeomorphisms that are nonuniformly expanding on sets of total probability (probability one with respect to every invariant probability measure) are necessarily uniformly expanding. We also present a version of this result for diffeomorphisms with nonuniformly hyperbolic sets.
14.
Peter Wong 《Topology and its Applications》2001,110(3):185-209
In this paper, we introduce a Nielsen type number
for any selfmap f of a partially ordered set
of spaces. This Nielsen theory relates to various existing Nielsen type fixed point theories for different settings such as maps of pairs of spaces, maps of triads, fibre preserving maps, equivariant maps and iterates of maps, by exploring their underlying poset structures. 相似文献
15.
P. H. Sach D. S. Kim L. A. Tuan G. M. Lee 《Journal of Optimization Theory and Applications》2008,136(1):105-123
In this paper, we introduce new dual problems of generalized vector variational inequality problems with set-valued maps and
we discuss a link between the solution sets of the primal and dual problems. The notion of solutions in each of these problems
is introduced via the concepts of efficiency, weak efficiency or Benson proper efficiency in vector optimization. We provide
also examples showing that some earlier duality results for vector variational inequality may not be true.
This work was supported by the Brain Korea 21 Project in 2006. 相似文献
16.
We consider quasisymmetric reparametrizations of the parameter space of the quadratic family. We prove that the set of quadratic maps which are either regular or Collet-Eckmann with polynomial recurrence of the critical orbit has full Lebesgue measure, for any such reparametrization. 相似文献
17.
Using Hilbert’s criterion, we consider the stress-energy tensor associated to the bienergy functional. We show that it derives
from a variational problem on metrics and exhibit the peculiarity of dimension four. First, we use this tensor to construct
new examples of biharmonic maps, then classify maps with vanishing or parallel stress-energy tensor and Riemannian immersions
whose stress-energy tensor is proportional to the metric, thus obtaining a weaker but high-dimensional version of the Hopf
Theorem on compact constant mean curvature immersions. We also relate the stress-energy tensor of the inclusion of a submanifold
in Euclidean space with the harmonic stress-energy tensor of its Gauss map.
S. Montaldo was supported by PRIN-2005 (Italy): Riemannian Metrics and Differentiable Manifolds. C. Oniciuc was supported
by a CNR-NATO (Italy) fellowship and by the Grant CEEX, ET, 5871/2006 (Romania). 相似文献
18.
David Kalaj 《Journal of Mathematical Analysis and Applications》2010,362(1):58-63
It is proved that every proper quasiregular C2 mapping w between two plane Jordan domains Ω∈C1,α and G∈C2,α, 0<α?1, satisfying the differential inequality |Δw|?M2|∇w|+N is Lipschitz continuous. This extends the main result of the author and M. Mateljevi? (Kalaj and Mateljevi?, 2006 [7]). 相似文献
19.
Jouni PARKKONEN Vesa RUUSKA 《数学学报(英文版)》2007,23(1):89-94
A conjecture of Ehrenpreis states that any two compact Riemann surfaces of genus at least two have finite degree unbranched holomorphic covers that are arbitrarily close to each other in moduli space. Here we prove a weaker result where certain branched covers associated with arithmetic Riemann surfaces are allowed, and investigate the connection of our result with the original conjecture. 相似文献