권호 표지

Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society

  • Bimonthly
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)

Aim & Scope

This journal endeavors to publish significant research of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of six issues (January, March, May, July, September, November).

http://bkms.kms.or.kr/submission KSCI KCI SCOPUS SCI SCIE

Volume 49 Issue 1

  1. Jung, Tack-Sun;Choi, Q-Heung 1
    https://doi.org/10.4134/BKMS.2012.49.1.001 PDF KSCI
    Let ${\Omega}$ be a bounded subset of $\mathbb{R}^n$ with smooth boundary. We investigate the solvability for a class of the system of the nonlinear elliptic equations with Dirichlet boundary condition. Using the mountain pass theorem we prove that the system has at least one nontrivial solution.
  2. Kim, Ki-Won 11
    https://doi.org/10.4134/BKMS.2012.49.1.011 PDF KSCI
    We characterize the class of inner uniform domains in terms of the quasihyperbolic metric and the quasihyperbolic geodesic. We also characterize uniform domains and inner uniform domains in terms of weak Bloch functions.
  3. Ahmad, Mobin 25
    https://doi.org/10.4134/BKMS.2012.49.1.025 PDF KSCI
    We define a quarter symmetric metric connection in a Lorentzia para-Sasakian manifold and study CR-submanifolds of a Lorentzian para-Sasakian manifold endowed with a quarter symmetric metric connection. Moreover, we also obtain integrability conditions of the distributions on CR-submanifolds.
  4. Yang, Zhen-Hang 33
    https://doi.org/10.4134/BKMS.2012.49.1.033 PDF KSCI
    In this paper, the log-convexity of another class one-parameter mean is investigated. As applications, some new upper and lower bounds of logarithmic mean, new estimations for identric mean and new inequalities for power-exponential mean and exponential-geometric mean are first given.
  5. Chen, Xinxiang;Yan, Rongmu 49
    https://doi.org/10.4134/BKMS.2012.49.1.049 PDF KSCI
    In this paper, we prove that a complex Finsler manifold is a complex locally Minkowski space if and only if it is a strictly K$\ddot{a}$hler-Berwald manifold with zero holomorphic sectional curvature.
  6. Li, Liulan;Fu, Xi 57
    https://doi.org/10.4134/BKMS.2012.49.1.057 PDF KSCI
    It is well known that one could use a fixed loxodromic or parabolic element of a non-elementary group $G{\subset}M(\bar{\mathbb{R}}^n)$ as a test map to test the discreteness of G. In this paper, we show that a test map need not be in G. We also construct an example to show that the similar result using an elliptic element as a test map does not hold.
  7. Heo, Jae-Seong;Belavkin, Viacheslav P.;Ji, Un Cig 63
    https://doi.org/10.4134/BKMS.2012.49.1.063 PDF KSCI
    Based on the Hilbert $C^*$-module structure we study the reconstruction theorem for stationary monotone quantum Markov processes from quantum dynamical semigroups. We prove that the quantum stochastic monotone process constructed from a covariant quantum dynamical semigroup is again covariant in the strong sense.
  8. Lee, Hyang-Sook;Park, Cheol-Min 75
    https://doi.org/10.4134/BKMS.2012.49.1.075 PDF KSCI
    A new algorithm is proposed for the construction of Brezing-Weng-like elliptic curves such that polynomials defining the CM discriminant are linear. Using this construction, new families of curves with variable discriminants and embedding degrees of $k{\in}\{8,16,20,24\}$, which were not covered by Freeman, Scott, and Teske [9], are presented. Our result is useful for constructing elliptic curves with larger and more flexible discriminants.
  9. Li, Songxiao 89
    https://doi.org/10.4134/BKMS.2012.49.1.089 PDF KSCI
    In this paper we obtain some new characterizations of Besov spaces on the unit ball of $\mathbb{C}^n$. These characterizations are also completely new even in the settings of the unit disk.
  10. Kubrusly, Carlos S.;Levan, Nhan 99
    https://doi.org/10.4134/BKMS.2012.49.1.099 PDF KSCI
    The concept of Hilbert space dissipative norm was introduced in [8] to obtain necessary and sufficient conditions for exponential stability of contraction semigroups. In the present paper we show that the same concept can also be used to derive further properties of contraction semigroups, as well as to characterize strongly stable semigroups that are not exponentially stable.
  11. Singha, Boorapa;Sanwong, Jintana;Sullivan, Robert Patrick 109
    https://doi.org/10.4134/BKMS.2012.49.1.109 PDF KSCI
    In 2003, Marques-Smith and Sullivan described the join ${\Omega}$ of the 'natural order' $\leq$ and the 'containment order' $\subseteq$ on P(X), the semigroup under composition of all partial transformations of a set X. And, in 2004, Pinto and Sullivan described all automorphisms of PS(q), the partial Baer-Levi semigroup consisting of all injective ${\alpha}{\in}P(X)$ such that ${\mid}X{\backslash}X{\alpha}\mid=q$, where $N_0{\leq}q{\leq}{\mid}X{\mid}$. In this paper, we describe the group of automorphisms of R(q), the largest regular subsemigroup of PS(q). In 2010, we studied some properties of $\leq$ and $\subseteq$ on PS(q). Here, we characterize the meet and join under those orders for elements of R(q) and PS(q). In addition, since $\leq$ does not equal ${\Omega}$ on I(X), the symmetric inverse semigroup on X, we formulate an algebraic version of ${\Omega}$ on arbitrary inverse semigroups and discuss some of its properties in an algebraic setting.
  12. Hbaib, Mohamed 127
    https://doi.org/10.4134/BKMS.2012.49.1.127 PDF KSCI
    It is well known that if the ${\beta}$-expansion of any nonnegative integer is finite, then ${\beta}$ is a Pisot or Salem number. We prove here that $\mathbb{F}_q((x^{-1}))$, the ${\beta}$-expansion of the polynomial part of ${\beta}$ is finite if and only if ${\beta}$ is a Pisot series. Consequently we give an other proof of Scheiche theorem about finiteness property in $\mathbb{F}_q((x^{-1}))$. Finally we show that if the base ${\beta}$ is a Pisot series, then there is a bound of the length of the fractional part of ${\beta}$-expansion of any polynomial P in $\mathbb{F}_q[x]$.
  13. Han, Sung-Hyu;Lee, Hei-Sook;Lee, Yoon-Jin 135
    https://doi.org/10.4134/BKMS.2012.49.1.135 PDF KSCI
    We present two kinds of construction methods for self-dual codes over $\mathbb{F}_2+u\mathbb{F}_2$. Specially, the second construction (respectively, the first one) preserves the types of codes, that is, the constructed codes from Type II (respectively, Type IV) is also Type II (respectively, Type IV). Every Type II (respectively, Type IV) code over $\mathbb{F}_2+u\mathbb{F}_2$ of free rank larger than three (respectively, one) can be obtained via the second construction (respectively, the first one). Using these constructions, we update the information on self-dual codes over $\mathbb{F}_2+u\mathbb{F}_2$ of length 9 and 10, in terms of the highest minimum (Hamming, Lee, or Euclidean) weight and the number of inequivalent codes with the highest minimum weight.
  14. Chen, Hong-Yu;Tan, Xiang;Wu, Jian-Liang 145
    https://doi.org/10.4134/BKMS.2012.49.1.145 PDF KSCI
    Let G be a planar graph with maximum degree $\Delta$. The linear 2-arboricity $la_2$(G) of G is the least integer k such that G can be partitioned into k edge-disjoint forests, whose component trees are paths of length at most 2. In this paper, we prove that (1) $la_2(G){\leq}{\lceil}\frac{\Delta}{2}\rceil+8$ if G has no adjacent 3-cycles; (2) $la_2(G){\leq}{\lceil}\frac{\Delta}{2}\rceil+10$ if G has no adjacent 4-cycles; (3) $la_2(G){\leq}{\lceil}\frac{\Delta}{2}\rceil+6$ if any 3-cycle is not adjacent to a 4-cycle of G.
  15. Kim, Do-Hyeong 155
    https://doi.org/10.4134/BKMS.2012.49.1.155 PDF KSCI
    Let E be an elliptic curve over $\mathbb{Q}$. Using Iwasawa theory, we give what seems to be the first general upper bound for the order of vanishing of the p-adic L-function at s = 0, and the $\mathbb{Z}_p$-corank of the Tate-Shafarevich group for all sufficiently large good ordinary primes p.
  16. Park, Dae-Kil;Son, Jin-Woo 165
    https://doi.org/10.4134/BKMS.2012.49.1.165 PDF KSCI
    In this paper, we construct a p-adic analogue of multiple Riemann zeta values and express their values at non-positive integers. In particular, we obtain a new congruence of the higher order Frobenius-Euler numbers and the Kummer congruences for the Bernoulli numbers as a corollary.
  17. Kong, Jae-Hoon;Jeong, Seung-Pil;Kim, Gwang-Il 175
    https://doi.org/10.4134/BKMS.2012.49.1.175 PDF KSCI
    Representing planar Pythagorean hodograph (PH) curves by the complex roots of their hodographs, we standardize Farouki's double cubic method to become the undetermined junction point (UJP) method, and then prove the generic existence of solutions for general $C^1$ Hermite interpolation problems. We also extend the UJP method to solve $C^2$ Hermite interpolation problems with multiple PH cubics, and also prove the generic existence of solutions which consist of triple PH cubics with $C^1$ junction points. Further generalizing the UJP method, we go on to solve $C^2$ Hermite interpolation problems using two PH quintics with a $C^1$ junction point, and we also show the possibility of applying the modi e UJP method to $G^2[C^1]$ Hermite interpolation.
  18. Lu, Feng 197
    https://doi.org/10.4134/BKMS.2012.49.1.197 PDF KSCI
    In this paper, we study the problem of normal families and deduce some results, which improve and generalize several related theorems obtained by Pang [7], Fang and Xu [3], L$\ddot{u}$, Xu, and Yi [6]. Mean-while, some examples are given to show the sharpness of our results.
  19. Lee, Eun-Kyung;Park, Mi-Hee 205
    https://doi.org/10.4134/BKMS.2012.49.1.205 PDF KSCI
    Let R be a graded Noetherian domain and A a graded Krull overring of R. We show that if h-dim $R\leq2$, then A is a graded Noetherian domain with h-dim $A\leq2$. This is a generalization of the well-know theorem that a Krull overring of a Noetherian domain with dimension $\leq2$ is also a Noetherian domain with dimension $\leq2$.
  20. Lee, Kwang-Woo 213
    https://doi.org/10.4134/BKMS.2012.49.1.213 PDF KSCI
    We determine which K3 surface with Picard number 19 is a K3 cover of an Enriques surface.