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Bulletin of the Korean Mathematical Society
Journal Basic Information
pISSN :
1015-8634
eISSN :
2234-3016
Journal DOI :
10.4134/BKMS
Frequency :
Others
Publisher:
The Korean Mathematical Society
Editor in Chief :
Yongnam Lee
Volume & Issues
Volume 52, Issue 6 - Nov 2015
Volume 52, Issue 5 - Sep 2015
Volume 52, Issue 4 - Jul 2015
Volume 52, Issue 3 - May 2015
Volume 52, Issue 2 - Mar 2015
Volume 52, Issue 1 - Jan 2015
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1
RESULTS ON MEROMORPHIC FUNCTIONS SHARING THREE VALUES WITH THEIR DIFFERENCE OPERATORS
LI, XIAO-MIN ; YI, HONG-XUN ; KANG, CONG-YUN ;
Bulletin of the Korean Mathematical Society, volume 52, issue 5, 2015, Pages 1401~1422
DOI : 10.4134/BKMS.2015.52.5.1401
Abstract
Under the restriction of finite order, we prove two uniqueness theorems of nonconstant meromorphic functions sharing three values with their difference operators, which are counterparts of Theorem 2.1 in [6] for a finite-order meromorphic function and its shift operator.
2
CLIQUE-TRANSVERSAL SETS IN LINE GRAPHS OF CUBIC GRAPHS AND TRIANGLE-FREE GRAPHS
KANG, LIYING ; SHAN, ERFANG ;
Bulletin of the Korean Mathematical Society, volume 52, issue 5, 2015, Pages 1423~1431
DOI : 10.4134/BKMS.2015.52.5.1423
Abstract
A clique-transversal set D of a graph G is a set of vertices of G such that D meets all cliques of G. The clique-transversal number is the minimum cardinality of a clique-transversal set in G. For every cubic graph with at most two bridges, we first show that it has a perfect matching which contains exactly one edge of each triangle of it; by the result, we determine the exact value of the clique-transversal number of line graph of it. Also, we present a sharp upper bound on the clique-transversal number of line graph of a cubic graph. Furthermore, we prove that the clique-transversal number of line graph of a triangle-free graph is at most the chromatic number of complement of the triangle-free graph.
3
CIRCLE-FOLIATED MINIMAL SURFACES IN 4-DIMENSIONAL SPACE FORMS
PARK, SUNG-HO ;
Bulletin of the Korean Mathematical Society, volume 52, issue 5, 2015, Pages 1433~1443
DOI : 10.4134/BKMS.2015.52.5.1433
Abstract
Catenoid and Riemann`s minimal surface are foliated by circles, that is, they are union of circles. In
, there is no other nonplanar example of circle-foliated minimal surfaces. In
, the graph
of w
4
SPECTRAL APPROXIMATIONS OF ATTRACTORS FOR CONVECTIVE CAHN-HILLIARD EQUATION IN TWO DIMENSIONS
ZHAO, XIAOPENG ;
Bulletin of the Korean Mathematical Society, volume 52, issue 5, 2015, Pages 1445~1465
DOI : 10.4134/BKMS.2015.52.5.1445
Abstract
In this paper, the long time behavior of the convective Cahn-Hilliard equation in two dimensions is considered, semidiscrete and completely discrete spectral approximations are constructed, error estimates of optimal order that hold uniformly on the unbounded time interval
<
are obtained.
5
GENERALIZED LUCAS NUMBERS OF THE FORM 5kx
^{2}
AND 7kx
^{2}
KARAATLI, OLCAY ; KESKIN, REFIK ;
Bulletin of the Korean Mathematical Society, volume 52, issue 5, 2015, Pages 1467~1480
DOI : 10.4134/BKMS.2015.52.5.1467
Abstract
Generalized Fibonacci and Lucas sequences (
) and (
) are defined by the recurrence relations $U_{n+1}
6
SUPERCYCLICITY OF JOINT ISOMETRIES
ANSARI, MOHAMMAD ; HEDAYATIAN, KARIM ; KHANI-ROBATI, BAHRAM ; MORADI, ABBAS ;
Bulletin of the Korean Mathematical Society, volume 52, issue 5, 2015, Pages 1481~1487
DOI : 10.4134/BKMS.2015.52.5.1481
Abstract
Let H be a separable complex Hilbert space. A commuting tuple $T
7
ON SIMULTANEOUS LOCAL DIMENSION FUNCTIONS OF SUBSETS OF ℝ
^{d}
OLSEN, LARS ;
Bulletin of the Korean Mathematical Society, volume 52, issue 5, 2015, Pages 1489~1493
DOI : 10.4134/BKMS.2015.52.5.1489
Abstract
For a subset
and
, the local Hausdorff dimension function of E at x and the local packing dimension function of E at x are defined by $$dim_{H,loc}(x,E)
8
NUMERICAL METHODS FOR RECONSTRUCTION OF THE SOURCE TERM OF HEAT EQUATIONS FROM THE FINAL OVERDETERMINATION
DENG, YOUJUN ; FANG, XIAOPING ; LI, JING ;
Bulletin of the Korean Mathematical Society, volume 52, issue 5, 2015, Pages 1495~1515
DOI : 10.4134/BKMS.2015.52.5.1495
Abstract
This paper deals with the numerical methods for the reconstruction of the source term in a linear parabolic equation from final overdetermination. We assume that the source term has the form f(x)h(t) and h(t) is given, which guarantees the uniqueness of the inverse problem of determining the source term f(x) from final overdetermination. We present the regularization methods for reconstruction of the source term in the whole real line and with Neumann boundary conditions. Moreover, we show the connection of the solutions between the problem with Neumann boundary conditions and the problem with no boundary conditions (on the whole real line) by using the extension method. Numerical experiments are done for the inverse problem with the boundary conditions.
9
MULTIPLE SOLUTIONS TO DISCRETE BOUNDARY VALUE PROBLEMS FOR THE p-LAPLACIAN WITH POTENTIAL TERMS ON FINITE GRAPHS
CHUNG, SOON-YEONG ; PARK, JEA-HYUN ;
Bulletin of the Korean Mathematical Society, volume 52, issue 5, 2015, Pages 1517~1533
DOI : 10.4134/BKMS.2015.52.5.1517
Abstract
In this paper, we prove the existence of at least three nontrivial solutions to nonlinear discrete boundary value problems $$\{^{-{\Delta}_{p,{\omega}}u(x)+V(x){\mid}u(x){\mid}^{q-2}u(x)
10
SOME RESULTS ON CONCIRCULAR VECTOR FIELDS AND THEIR APPLICATIONS TO RICCI SOLITONS
CHEN, BANG-YEN ;
Bulletin of the Korean Mathematical Society, volume 52, issue 5, 2015, Pages 1535~1547
DOI : 10.4134/BKMS.2015.52.5.1535
Abstract
A vector field on a Riemannian manifold (M, g) is called concircular if it satisfies ${\nabla}X^v
11
ON SOME GENERALIZATIONS OF CLOSED SUBMODULES
DURGUN, YILMAZ ;
Bulletin of the Korean Mathematical Society, volume 52, issue 5, 2015, Pages 1549~1557
DOI : 10.4134/BKMS.2015.52.5.1549
Abstract
Characterizations of closed subgroups in abelian groups have been generalized to modules in essentially dierent ways; they are in general inequivalent. Here we consider the relations between these generalizations over commutative rings, and we characterize the commutative rings over which they coincide. These are exactly the commutative noetherian distributive rings. We also give a characterization of c-injective modules over commutative noetherian distributive rings. For a noetherian distributive ring R, we prove that, (1) direct product of simple R-modules is c-injective; (2) an R-module D is c-injective if and only if it is isomorphic to a direct summand of a direct product of simple R-modules and injective R-modules.
12
ON RELATIVE CLASS NUMBER AND CONTINUED FRACTIONS
CHAKRABORTY, DEBOPAM ; SAIKIA, ANUPAM ;
Bulletin of the Korean Mathematical Society, volume 52, issue 5, 2015, Pages 1559~1568
DOI : 10.4134/BKMS.2015.52.5.1559
Abstract
The relative class number
of a real quadratic field $K
13
HELICOIDAL SURFACES OF THE THIRD FUNDAMENTAL FORM IN MINKOWSKI 3-SPACE
CHOI, MIEKYUNG ; YOON, DAE WON ;
Bulletin of the Korean Mathematical Society, volume 52, issue 5, 2015, Pages 1569~1578
DOI : 10.4134/BKMS.2015.52.5.1569
Abstract
We study helicoidal surfaces with the non-degenerate third fundamental form in Minkowski 3-space. In particular, we mainly focus on the study of helicoidal surfaces with light-like axis in Minkowski 3-space. As a result, we classify helicoidal surfaces satisfying an equation in terms of the position vector field and the Laplace operator with respect to the third fundamental form on the surface.
14
BARRELLEDNESS OF SOME SPACES OF VECTOR MEASURES AND BOUNDED LINEAR OPERATORS
FERRANDO, JUAN CARLOS ;
Bulletin of the Korean Mathematical Society, volume 52, issue 5, 2015, Pages 1579~1586
DOI : 10.4134/BKMS.2015.52.5.1579
Abstract
In this paper we investigate the barrellednes of some spaces of X-valued measures, X being a barrelled normed space, and provide examples of non barrelled spaces of bounded linear operators from a Banach space X into a barrelled normed space Y, equipped with the uniform convergence topology.
15
ON HOPF ALGEBRAS IN ENTROPIC JÓNSSON-TARSKI VARIETIES
ROMANOWSKA, ANNA B. ; SMITH, JONATHAN D.H. ;
Bulletin of the Korean Mathematical Society, volume 52, issue 5, 2015, Pages 1587~1606
DOI : 10.4134/BKMS.2015.52.5.1587
Abstract
Comonoid, bi-algebra, and Hopf algebra structures are studied within the universal-algebraic context of entropic varieties. Attention focuses on the behavior of setlike and primitive elements. It is shown that entropic
-Tarski varieties provide a natural universal-algebraic setting for primitive elements and group quantum couples (generalizations of the group quantum double). Here, the set of primitive elements of a Hopf algebra forms a Lie algebra, and the tensor algebra on any algebra is a bi-algebra. If the tensor algebra is a Hopf algebra, then the underlying
-Tarski monoid of the generating algebra is cancellative. The problem of determining when the
-Tarski monoid forms a group is open.
16
REAL COVERING OF THE GENERALIZED HANKEL-CLIFFORD TRANSFORM OF FOX KERNEL TYPE OF A CLASS OF BOEHMIANS
AGARWAL, PRAVEEN ; AL-OMARI, S.K.Q. ; CHOI, JUNESANG ;
Bulletin of the Korean Mathematical Society, volume 52, issue 5, 2015, Pages 1607~1619
DOI : 10.4134/BKMS.2015.52.5.1607
Abstract
We investigate some generalization of a class of Hankel-Clifford transformations having Fox H-function as part of its kernel on a class of Boehmians. The generalized transform is a one-to-one and onto mapping compatible with the classical transform. The inverse Hankel-Clifford transforms are also considered in the sense of Boehmians.
17
ON THE LIE DERIVATIVE OF REAL HYPERSURFACES IN ℂP
^{2}
AND ℂH
^{2}
WITH RESPECT TO THE GENERALIZED TANAKA-WEBSTER CONNECTION
PANAGIOTIDOU, KONSTANTINA ; PEREZ, JUAN DE DIOS ;
Bulletin of the Korean Mathematical Society, volume 52, issue 5, 2015, Pages 1621~1630
DOI : 10.4134/BKMS.2015.52.5.1621
Abstract
In this paper the notion of Lie derivative of a tensor field T of type (1,1) of real hypersurfaces in complex space forms with respect to the generalized Tanaka-Webster connection is introduced and is called generalized Tanaka-Webster Lie derivative. Furthermore, three dimensional real hypersurfaces in non-flat complex space forms whose generalized Tanaka-Webster Lie derivative of 1) shape operator, 2) structure Jacobi operator coincides with the covariant derivative of them with respect to any vector field X orthogonal to
are studied.
18
OPTIMAL INEQUALITIES FOR THE CASORATI CURVATURES OF SUBMANIFOLDS OF GENERALIZED SPACE FORMS ENDOWED WITH SEMI-SYMMETRIC METRIC CONNECTIONS
LEE, CHUL WOO ; LEE, JAE WON ; VILCU, GABRIEL-EDUARD ; YOON, DAE WON ;
Bulletin of the Korean Mathematical Society, volume 52, issue 5, 2015, Pages 1631~1647
DOI : 10.4134/BKMS.2015.52.5.1631
Abstract
In this paper, we prove two optimal inequalities involving the intrinsic scalar curvature and extrinsic Casorati curvature of submanifolds of generalized space forms endowed with a semi-symmetric metric connection. Moreover, we also characterize those submanifolds for which the equality cases hold.
19
REDUCING SUBSPACES FOR A CLASS OF TOEPLITZ OPERATORS ON THE BERGMAN SPACE OF THE BIDISK
ALBASEER, MOHAMMED ; LU, YUFENG ; SHI, YANYUE ;
Bulletin of the Korean Mathematical Society, volume 52, issue 5, 2015, Pages 1649~1660
DOI : 10.4134/BKMS.2015.52.5.1649
Abstract
In this paper, we completely characterize the nontrivial reducing subspaces of the Toeplitz operator
on the Bergman space
, where N and M are positive integers.
20
RULED SURFACES AND GAUSS MAP
KIM, DONG-SOO ;
Bulletin of the Korean Mathematical Society, volume 52, issue 5, 2015, Pages 1661~1668
DOI : 10.4134/BKMS.2015.52.5.1661
Abstract
We study the Gauss map G of ruled surfaces in the 3-dimensional Euclidean space
with respect to the so called Cheng-Yau operator
acting on the functions defined on the surfaces. As a result, we establish the classification theorem that the only ruled surfaces with Gauss map G satisfying ${\Box}G
21
SEMI-CONVERGENCE OF THE PARAMETERIZED INEXACT UZAWA METHOD FOR SINGULAR SADDLE POINT PROBLEMS
YUN, JAE HEON ;
Bulletin of the Korean Mathematical Society, volume 52, issue 5, 2015, Pages 1669~1681
DOI : 10.4134/BKMS.2015.52.5.1669
Abstract
In this paper, we provide semi-convergence results of the parameterized inexact Uzawa method with singular preconditioners for solving singular saddle point problems. We also provide numerical experiments to examine the effectiveness of the parameterized inexact Uzawa method with singular preconditioners.
22
ON 4-EQUIVALENCED ASSOCIATION SCHEMES
PARK, JEONG RYE ;
Bulletin of the Korean Mathematical Society, volume 52, issue 5, 2015, Pages 1683~1709
DOI : 10.4134/BKMS.2015.52.5.1683
Abstract
Let (
, S) be an association scheme where
is a non-empty finite set and S is a partition of
. For a positive integer k we say that (
, S) is k-equivalenced if each non-diagonal element of S has valency k. In this paper we focus on 4-equivalenced association schemes, and prove that they are transitive.
23
A NOTE OF WEIGHTED COMPOSITION OPERATORS ON BLOCH-TYPE SPACES
LI, SONGXIAO ; ZHOU, JIZHEN ;
Bulletin of the Korean Mathematical Society, volume 52, issue 5, 2015, Pages 1711~1719
DOI : 10.4134/BKMS.2015.52.5.1711
Abstract
We obtain a new criterion for the boundedness and compactness of the weighted composition operators
from
(0 <
< 1) to
in terms of the sequence
. An estimate for the essential norm of
is also given.
24
COSET OF A HYPERCOMPLEX NUMBER SYSTEM IN CLIFFORD ANALYSIS
KIM, JI EUN ; SHON, KWANG HO ;
Bulletin of the Korean Mathematical Society, volume 52, issue 5, 2015, Pages 1721~1728
DOI : 10.4134/BKMS.2015.52.5.1721
Abstract
We give certain properties of elements in a coset group with hypercomplex numbers and research a monogenic function and a Clifford regular function with values in a coset group by defining differential operators. We give properties of those functions and a power of elements in a coset group with hypercomplex numbers.
25
NORM CONVERGENT PARTIAL SUMS OF TAYLOR SERIES
YANG, JONGHO ;
Bulletin of the Korean Mathematical Society, volume 52, issue 5, 2015, Pages 1729~1735
DOI : 10.4134/BKMS.2015.52.5.1729
Abstract
It is known that the partial sum of the Taylor series of an holomorphic function of one complex variable converges in norm on
for 1 < p <
. In this paper, we consider various type of partial sums of a holomorphic function of several variables which also converge in norm on
for 1 < p <
. For the partial sums in several variable cases, some variables could be chosen slowly (fastly) relative to other variables. We prove that in any cases the partial sum converges to the original function, regardlessly how slowly (fastly) some variables are taken.
26
ON CANTOR SETS AND PACKING MEASURES
WEI, CHUN ; WEN, SHENG-YOU ;
Bulletin of the Korean Mathematical Society, volume 52, issue 5, 2015, Pages 1737~1751
DOI : 10.4134/BKMS.2015.52.5.1737
Abstract
For every doubling gauge g, we prove that there is a Cantor set of positive finite
-measure,
-measure, and
-premeasure. Also, we show that every compact metric space of infinite
-premeasure has a compact countable subset of infinite
-premeasure. In addition, we obtain a class of uniform Cantor sets and prove that, for every set E in this class, there exists a countable set F, with $\bar{F}
27
A REMARK ON UNIQUE CONTINUATION FOR THE CAUCHY-RIEMANN OPERATOR
SEO, IHYEOK ;
Bulletin of the Korean Mathematical Society, volume 52, issue 5, 2015, Pages 1753~1757
DOI : 10.4134/BKMS.2015.52.5.1753
Abstract
In this note we obtain a unique continuation result for the differential inequality
, where $\bar{\partial}