15 June 1999, Volume 42 Issue 6

    

• Select all
  |

论文
• Select
  The Distance Formulas of Some Ideals of Nest Algebras

  Fang Yan LU

  Acta Mathematica Sinica, Chinese Series. 1999, 42(6): 0-0+0. https://doi.org/10.12386/A1999sxxb0141

  Abstract ( )   Knowledge map   Save

  Let N be a complete nest over a Hilbert space H, and e be a natural spectralmeasure on N. Then the distance from an arbitrary operator T in B(H) to RN, theLarson ideal of the nest algebra AlgN, is given by d(T,RN) where 0 for all N e N}, the semi-radical ideal of Alga, then d(T, V) = sup{IN(T): N
• Select
  Meromorphic Functions that Share Two CM and One IM Values

  Gang Di QIU

  Acta Mathematica Sinica, Chinese Series. 1999, 42(6): 0-0+0. https://doi.org/10.12386/A1999sxxb0134

  Abstract ( ) Download PDF ( )   Knowledge map   Save

  In this paper, we mainly discussed the uniqueness problem of meromorphicfunctions that share three values, which generalized and improved some results by UedaH. and Yi Hongxun etc.
• Select
  A Formula of Euler Characteristic of Two Dimensional Compact Riemann Manifolds of Nonpositive Curvature

  Ming YANG

  Acta Mathematica Sinica, Chinese Series. 1999, 42(6): 0-0+0. https://doi.org/10.12386/A1999sxxb0137

  Abstract ( ) Download PDF ( )   Knowledge map   Save

  Let M be any two dimensional compact Riemann manifolds of nonpositivecurvature. Fixing x M, there is a nonempty finite set {a1, a2,..., ad} of pointshaving type number ≥ 3. Let Kj denote the type number of aj, that is the number ofall minimal geodesics from aj to x. Then X(M) = (d + 1) where X(M)is Euler characteristic of M.
• Select
  Sample Semigroup and It's Support of Probability Measures on Compact Topological Semiroups

  Jin E LIU

  Acta Mathematica Sinica, Chinese Series. 1999, 42(6): 0-0+0. https://doi.org/10.12386/A1999sxxb0138

  Abstract ( ) Download PDF ( )   Knowledge map   Save

  In this paper, the limit properties of probability measures on compact topological semigroups is investigated. Firstly, the dependence relationship between thesimple semigroup N of measures and supp N is studied, then the necessary and sufficient conditions that H is presented, where wH is the Haar measure.
• Select
  On a Strengthened Version of the More Accurate Hardy-Hilbert's Inequality

  Bi Cheng YANG

  Acta Mathematica Sinica, Chinese Series. 1999, 42(6): 0-0+0. https://doi.org/10.12386/A1999sxxb0139

  Abstract ( ) Download PDF ( )   Knowledge map   Save

  In this paper, we prove the following inequality of the weight coefficient:co 1where constant). Then a strengthened Hardy-Hilbert's inequality is built. We give a new inequajity of the Hardy-Hilbert's type andits strnegthened form.
• Select
  The Comparability Structures over Rings and Modules

  Huan Yin CHEN

  Acta Mathematica Sinica, Chinese Series. 1999, 42(6): 0-0+0. https://doi.org/10.12386/A1999sxxb0140

  Abstract ( ) Download PDF ( )   Knowledge map   Save

  In this paper, we generalize the main results in [1] and obtain the relations between related comparability of rings and the comparable structures of modules. Moreover, we prove that comparability over modules is invariant about direct summands.We also give the equivalent relations between comparability of rings and modules.
• Select
  On Willmore Problems for Higher Dimensions

  Zhi Sheng MA

  Acta Mathematica Sinica, Chinese Series. 1999, 42(6): 0-0+0. https://doi.org/10.12386/A1999sxxb0136

  Abstract ( ) Download PDF ( )   Knowledge map   Save

  This paper consider a series of functionals with better sense of conformalinvariants of submanifold M in higher-dimensional Euclidean space. Gives estimate oflower bundles of these functionals in terms of Betti numbers of M; gives lower bundlesfor tubular hypersurfaces and lower bundles for twofold-sphere torns as well as givescorresponding submanifold which attains these lower bundles; furthermore, show theselower bundles relative to Betti numbers are not exact, this method is not appropriate.And gives some conjectures similarfto Willmore conjecture.
• Select
  An Estimate of the Regularity of a Class Bidimensional Nonseparable Refinable Functions

  Yun Zhang LI

  Acta Mathematica Sinica, Chinese Series. 1999, 42(6): 0-0+0. https://doi.org/10.12386/A1999sxxb0135

  Abstract ( ) Download PDF ( )   Knowledge map   Save

  Let M M-refinable functions are used in the construction ofwavelets corresponding to quincunx subsampling in two dimensions for image processing. In this paper, an estimate of the Sobolev exponent of M-refinable functions withexponentially decaying masks is obtained.
• Select
  On the Functional Form of Levy Modulus of Continuity for Brownian Motion in (r, p)-Capacity Sense

  Jing Jun LIU

  Acta Mathematica Sinica, Chinese Series. 1999, 42(6): 0-0+0. https://doi.org/10.12386/A1999sxxb0132

  Abstract ( ) Download PDF ( )   Knowledge map   Save

  In this paper, we apply the (r,p)- capacity large deviation principle onabstract Wiener space to prove the functional form of L6vy modulus of continuity forthe Brownian motion in the classiciaJ Wiener space(Wd, H, uw) on (Rd, |. |) in (r,p)capacity sense.
• Select
  On the Cyclic Subgroups of the Ideal Class Group of Q(4k~(2n)+1)

  Hong Ji CHEN

  Acta Mathematica Sinica, Chinese Series. 1999, 42(6): 0-0+0. https://doi.org/10.12386/A1999sxxb0133

  Abstract ( ) Download PDF ( )   Knowledge map   Save

  Let d, a, k, n be the positive integers such that 4k2n + 1 = da2, k > 1, n > 2and d is square free. Further let C(K) and h(K) denote the ideal class group andclass number of the real quadratic field K = Q(W). In this paper, we prove that ifa < 0.5ho,56n, then h(K) = 0 (mod n) and C(K) has a cyclic subgroup with order n.
• Select
  Additive Mappings Preserving Zero Products

  Wu JING

  Acta Mathematica Sinica, Chinese Series. 1999, 42(6): 0-0+0. https://doi.org/10.12386/A1999sxxb0131

  Abstract ( ) Download PDF ( )   Knowledge map   Save

  A characterization of additive mappings on B(X) preserving zero productsis given.
• Select
  Schur Products and Completely Bounded Maps on AF C~*-algebras

  Pei Sheng JI,Kai ZHAO

  Acta Mathematica Sinica, Chinese Series. 1999, 42(6): 0-0+0. https://doi.org/10.12386/A1999sxxb0147

  Abstract ( ) Download PDF ( )   Knowledge map   Save

  Every bounded D-module map on AF C*-algebra B is a completely boundedmap, where D is an SV masa of B.
• Select
  Quantitative Study of Nonlinear Lipschitz Operators in C~m Space

  Li Sheng WANG,Zong Ben XU

  Acta Mathematica Sinica, Chinese Series. 1999, 42(6): 0-0+0. https://doi.org/10.12386/A1999sxxb0148

  Abstract ( ) Download PDF ( )   Knowledge map   Save

  All nonlinear Lipschitzian operators in Cm space constitute a seminormoperator space L(Cm). In this paper, many important properties of operator in L(Cm)are studied, include: the approximate distance from a invertable operator to the setof noninvertable operators, the converse of exponential contraction of operator, therelation between numerical range and spectrum of operator. The obtained resultsgeneralize many famous theorems of lineax operator.
• Select
  Algebraic Criterion for Asymptotic Stability of Neutral Equations of the Form x(t) + cx(t - T) + ax(t) + bx(t -) = 0

  Hong Shan REN(1),Zu Xiu ZHENG(

  Acta Mathematica Sinica, Chinese Series. 1999, 42(6): 0-0+0. https://doi.org/10.12386/A1999sxxb0149

  Abstract ( ) Download PDF ( )   Knowledge map   Save

  In this paper, we establish necessary and sufficient conditions for asymptoticstability of neutral equations of the form x(t) + cx(t - r) + ax(t) + bx(t - r) = 0,give an algebraic criterion for asymptotic stability of the above equations, correct amistake in [2].
• Select
  Stability for Nonautonomous Neutral Delay Difference Equations

  Zhan ZHOU,Jian She YU

  Acta Mathematica Sinica, Chinese Series. 1999, 42(6): 0-0+0. https://doi.org/10.12386/A1999sxxb0143

  Abstract ( ) Download PDF ( )   Knowledge map   Save

  onsider the nonautonomous neutral delay difference equationwhere is continuous in x for eachn N. Sufficient conditions are given to insure that the zero solution of (1.1) is stableas well as asymptotically stable.
• Select
  The Heat Kernels Construction of Symmetric Spaces of Type Ⅲ

  Qing Zhong LI(1),Guang Yuan ZH

  Acta Mathematica Sinica, Chinese Series. 1999, 42(6): 0-0+0. https://doi.org/10.12386/A1999sxxb0144

  Abstract ( ) Download PDF ( )   Knowledge map   Save

  By introducing the horo-hypercircles coordinates of the classical domain RⅢand calculating the volume element of invariants metric and making use of an integraltransformation of function in such coordinates the author constructed the heat kernelsof the Laplace-Beltrarni operators associated to their invariant metric.
• Select
  The Hausdorff Dimension of Homogeneous Moran Sets in R~d

  Cheng Qin QU,Wei Yi SU,Yong XU

  Acta Mathematica Sinica, Chinese Series. 1999, 42(6): 0-0+0. https://doi.org/10.12386/A1999sxxb0145

  Abstract ( ) Download PDF ( )   Knowledge map   Save

  In this paper, a formula is given for the Hausdorff dimension of HomogeneousMoran set in Rd by using the potential techniques. This answers the problem of [1].
• Select
  Universal Unfolding of Equivariant Bifurcation Problems with Multiparameter

  Yang Cheng LI(1),Jian Cheng ZO

  Acta Mathematica Sinica, Chinese Series. 1999, 42(6): 0-0+0. https://doi.org/10.12386/A1999sxxb0146

  Abstract ( ) Download PDF ( )   Knowledge map   Save

  Universal unfolding theorem of bifurcation problems with one parameterwere given in [1,2]. In this paper universal unfolding theorem of equivariant bifurcation problems with multiparameter was given. The theorem is the generalization ofcorresponding results in [1, 2].
• Select
  Yamabe Invariants and Prescribing Scalar Curvature on Noncompact Riemannian Manifolds

  Sen Lin XU,Jia Qiang MEI

  Acta Mathematica Sinica, Chinese Series. 1999, 42(6): 0-0+0. https://doi.org/10.12386/A1999sxxb0142

  Abstract ( ) Download PDF ( )   Knowledge map   Save

  We obtain certain conditions about Yamabe invariants which assure noncompact memannian manifolds to be conformally deformed to achieve constant scalarcurvature.
• Select
  Uniqueness of Limit Cycle in Oregonator

  Tian Shou ZHOU,Zi Fan ZHANG,Zu

  Acta Mathematica Sinica, Chinese Series. 1999, 42(6): 961-964. https://doi.org/10.12386/A1999sxxb0150

  Abstract ( )   Knowledge map   Save

  The uniqueness of limit cycle in Oregonator is proved in this paper.
• Select
  The Ergodic Properties and the Structure of Strange Attractor in Lauwerier Map

  Yong Luo CAO

  Acta Mathematica Sinica, Chinese Series. 1999, 42(6): 965-968. https://doi.org/10.12386/A1999sxxb0151

  Abstract ( ) Download PDF ( )   Knowledge map   Save

  in this paper, the Lauwerier map Fa,b(x,y) = (bx(1 - 2y) + y, ay(1 - 2y))is considered. We prove that for Parameter a in a set with positive measure, thecorresponding map possesses a nontrivial topologically trajnsitive attractor A, this A isthe closure of the unstable set of some fixed point. Periodic points are dense in A andall of them are hyperbolic. Moreover any two periodic points in A are heteroclinicajlyrelated (transversal intersection of stable and unstable sets). We also construct theSinal-Bowen-Ruelle measure supported on attrastor and study it properties.
• Select
  A Strong Type inequality about the Maximal Operator M_w on L~p(R~n, udx)and Its Application to the Riesz Potential

  Cheng LUO

  Acta Mathematica Sinica, Chinese Series. 1999, 42(6): 969-974. https://doi.org/10.12386/A1999sxxb0152

  Abstract ( ) Download PDF ( )   Knowledge map   Save

  In this paper, similar to Ap, we introduce the family of the power functionsAp(w) with a power function w, and discuss some elemental properties. Furthermore,we prove that Ap(w) is the necessary and sufficient condition for the strong typeinequality Asan application, we obtain a corresponding estimation for the Riesz potential Irf onLp(Rn, udx).
• Select
  Harmonic Hardy Spaces and Mired-norm Spaces

  Zhang Jian HU

  Acta Mathematica Sinica, Chinese Series. 1999, 42(6): 975-984. https://doi.org/10.12386/A1999sxxb0153

  Abstract ( ) Download PDF ( )   Knowledge map   Save

  Let D be a bounded domain with C boundary. In this paper, weestablish some continuous embedding theorems between harmonic Hardy spaces andmixed-norm spaces on D.
• Select
  Periodic Solutions of the MHD Equations

  Shu Hong HE

  Acta Mathematica Sinica, Chinese Series. 1999, 42(6): 985-996. https://doi.org/10.12386/A1999sxxb0154

  Abstract ( ) Download PDF ( )   Knowledge map   Save

  In this paper, we prove the existence and uniqueness of periodic solutions ofthe MHD equations under some assumptions on the external force.
• Select
  Estimates for Sums invoicing the Smallest Prime Factor of an Integer

  Yi Ran ZHANG

  Acta Mathematica Sinica, Chinese Series. 1999, 42(6): 997-999. https://doi.org/10.12386/A1999sxxb0155

  Abstract ( ) Download PDF ( )   Knowledge map   Save

  For the natural number n > 1, let p(n) denote the smallest prime factor ofn, (n) denote the total number of the prime faCtors of n, w(n) denote the number ofthe different prime factors of n. This paper produces the estimates for the followingsums, such as which improves the results of zhang Weipeng.