共查询到20条相似文献,搜索用时 31 毫秒
1.
Let ƒ be a transcendental meromorphic function, a a nonzero finite complex number, and n ⩾ 2 a positive integer. Then ƒ + a(ƒ′)
n
assumes every complex value infinitely often. This answers a question of Ye for n = 2. A related normality criterion is also given.
This work was supported by the National Natural Science Foundation of China (Grant No. 10771076), the Natural Science Foundation
of Guangdong Province, China (Grant No. 07006700) and by the German-Israeli Foundation for Scientific Research and Development
(Grant No. G-809-234.6/2003) 相似文献
2.
Ji-pu Ma Tseng Yaun Rong Functional Analysis Research Center Harbin Normal University Harbin China 《中国科学A辑(英文版)》2007,50(9):1233-1239
Let E, F be two Banach spaces, and B(E, F), Φ(E, F), SΦ(E, F) and R(E,F) be the bounded linear, Fredholm, semi-Frdholm and finite rank operators from E into F, respectively. In this paper, using the continuity characteristics of generalized inverses of operators under small perturbations, we prove the following result Let ∑ be any one of the following sets {T ∈ Φ(E, F) IndexT =const, and dim N(T) = const.}, {T ∈ SΦ(E, F) either dim N(T) = const. < ∞ or codim R(T) = const.< ∞} and {T ∈ R(E, F) RankT =const.<∞}. Then ∑ is a smooth submanifold of B(E, F) with the tangent space TA∑ = {B ∈ B(E,F) BN(A) (∪) R(A)} for any A ∈ ∑. The result is available for the further application to Thom's famous results on the transversility and the study of the infinite dimensional geometry. 相似文献
3.
T. S. Kopaliani 《Ukrainian Mathematical Journal》2008,60(12):2006-2014
We point out that if the Hardy–Littlewood maximal operator is bounded on the space L
p(t)(ℝ), 1 < a ≤ p(t) ≤ b < ∞, t ∈ ℝ, then the well-known characterization of the spaces L
p
(ℝ), 1 < p < ∞, by the Littlewood–Paley theory extends to the space L
p(t)(ℝ). We show that, for n > 1 , the Littlewood–Paley operator is bounded on L
p(t) (ℝ
n
), 1 < a ≤ p(t) ≤ b < ∞, t ∈ ℝ
n
, if and only if p(t) = const.
Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, No. 12, pp. 1709–1715, December, 2008. 相似文献
4.
Alfonso Carriazo Luis M. Fernández María Belén Hans-Uber 《Acta Mathematica Hungarica》2005,107(4):267-285
Summary We study some special types of slant submanifolds of S-manifolds related to the second fundamental form of the immersion: totally f-geodesic and f-umbilical, pseudo-umbilical and austere submanifolds. We also give several examples of such submanifolds. 相似文献
5.
We describe four different types of N=(4, 4) twisted supermultiplets in the two-dimensional N=(2, 2) superspace ℝ(1,1|2,2). All these multiplets are represented by a pair of chiral and twisted chiral superfields and differ in the transformation
properties under an extra hidden N=(2, 2) supersymmetry. The sigma-model N=(2, 2) superfield Lagrangians for each type of
the N=(4, 4) twisted supermultiplet are real functions subjected to some differential constraints implied by the hidden supersymmetry.
We prove that the general sigma-model action including all types of N=(4, 4) twisted multiplets and invariant under the N=(4,
4) supersymmetry reduces to a sum of sigma-model actions for separate types. An interaction between the multiplets of different
sorts is possible only through the appropriate mass terms and only for those multiplets that belong to the same “self-dual”
pair.
__________
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 145, No. 1, pp. 66–86, October, 2005. 相似文献
6.
Andrea Bandini 《Czechoslovak Mathematical Journal》2008,58(2):429-445
We explicitly perform some steps of a 3-descent algorithm for the curves y
2 = x
3 + a, a a nonzero integer. In general this will enable us to bound the order of the 3-Selmer group of such curves. 相似文献
7.
8.
We derive fast recursions to compute the probability that k or more consecutive customer losses take place during a busy period of a queue, the so called k-CCL probability, for regular and oscillating M
X
/G/1/n systems. 相似文献
9.
The purpose of this paper is to use semiclassical analysis to unify and generalize L
p estimates on high energy eigenfunctions and spectral clusters. In our approach these estimates do not depend on ellipticity
and order, and apply to operators which are selfadjoint only at the principal level. They are estimates on weakly approximate
solutions to semiclassical pseudodifferential equations.
Submitted: May 11, 2006. Accepted: September 19, 2006. 相似文献
10.
A. L. Kuz’mina 《Russian Mathematics (Iz VUZ)》2008,52(7):8-14
We study Besicovitch-type spaces of generalized almost periodic functions. The main result is a theorem on representation of linear continuous functionals that is similar to the classical result of F. Riesz. 相似文献
11.
We investigate GI
X
/M(n)//N systems with stochastic customer acceptance policy, function of the customer batch size and the number of customers in the
system at its arrival. We address the time-dependent and long-run analysis of the number of customers in the system at prearrivals
and postarrivals of batches and seen by customers at their arrival to the system, as well as customer blocking probabilities.
These results are then used to derive the continuous-time long-run distribution of the number of customers in the system.
Our analysis combines Markov chain embedding with uniformization and uses stochastic ordering as a way to bound the errors
of the computed performance measures.
相似文献
12.
If (N,t) ({\cal N},\tau) is a finite von Neumann algebra and if (M,n) ({\cal M},\nu) is an infinite von Neumann algebra, then Lp(M,n) L_{p}({\cal M},\nu) does not Banach embed in Lp(N,t) L_{p}({\cal N},\tau) for all p ? (0,1) p\in (0,1) . We also characterize subspaces of $ L_{p}({\cal N},\tau),\ 0< p <1 $ L_{p}({\cal N},\tau),\ 0< p <1 containing a copy of lp. 相似文献
13.
14.
Jia Gao 《高校应用数学学报(英文版)》2007,22(2):174-180
Let L^p(Ω, H^n) indicate the L^P-space of the maps for Heisenberg group target. In this paper some new properties are obtained for the space L^p(Ω, H^n) 相似文献
15.
Ling-yun Gao 《应用数学学报(英文版)》2008,24(2):211-220
Using value distribution theory and techniques in several complex variables,we investigate the problem of existence of m components-admissible solutions of a class of systems of higher-order partial differential equations in several complex variables and estimate the number of admissible components of solutions.Some related results will also be obtained. 相似文献
16.
R. A. Lasuriya 《Ukrainian Mathematical Journal》2005,57(4):600-609
We establish estimates for the rate of convergence of a group of deviations on a sphere in the space L(S
m
), m ≥ 3.
__________
Translated from Ukrains'kyi Matematychnyi Zhurnal, Vol. 57, No. 4, pp. 496–504, April, 2005. 相似文献
17.
Muhammad Ahsan Banyamin Gerhard Pfister Stefan Steidel 《Central European Journal of Mathematics》2012,10(1):271-276
In this article we describe our experiences with a parallel Singular implementation of the signature of a surface singularity
defined by z
N
+ g(x; y) = 0. 相似文献
18.
The Hilbert and Riesz transforms can be characterized up to scalar as the translation invariant operators that satisfy additionally
certain relative invariance of conformal transformation groups. In this article, we initiate a systematic study of translation
invariant operators from group theoretic viewpoints, and formalize a geometric condition that characterizes specific multiplier
operators uniquely up to scalar by means of relative invariance of affine subgroups. After providing some interesting examples
of multiplier operators having “large symmetry”, we classify which of these examples can be extended to continuous operators
on L
p
(R
n
) (1 < p < ∞).
T. Kobayashi was partially supported by Grant-in-Aid for Scientific Research 18340037, Japan Society for the Promotion of
Science. A. Nilsson was partially supported by Japan Society for the Promotion of Science. 相似文献
19.
Jie Wang 《中国科学A辑(英文版)》2007,50(11):1642-1650
We obtain the Harnack estimate of the solution to Hk-flow in Euclidean space Rn 1,for k > 0.By using this estimate,we get some corollaries about the translation soliton. 相似文献
20.
José E. Galé Pedro J. Miana Detlef Müller 《Integral Equations and Operator Theory》2007,57(3):327-337
We consider some extensions of well-boundedness and Cm-scalarity by using fractional calculus, and prove some theorems accordingly. These results are applied to the usual Laplacian
on Rn and sub-Laplacians on nilpotent Lie groups.
The research of first and second authors has been partly supported by the Project MTM2004-03036 of the M.C.YT.-DGI/F.E.D.E.R.,
Spain, and the Project E-12/25, D. G. Aragón, Spain. Part of the research of second author was developed in the Christian-Albrechts
Universit?t in Kiel, while he was enjoying a HARP-postdoctoral position in the European Harmonic Analysis Network, HARP, IHP
2002-06. 相似文献