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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 :
Volume & Issues
Volume 45, Issue 4 - Nov 2008
Volume 45, Issue 3 - Aug 2008
Volume 45, Issue 2 - May 2008
Volume 45, Issue 1 - Feb 2008
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1
WEIGHTED ENDPOINT INEQUALITIES FOR MULTILINEAR MARCINKIEWICZ INTEGRAL OPERATOR
Wenxin, Yu ; Liu, Lanzhe ;
Bulletin of the Korean Mathematical Society, volume 45, issue 1, 2008, Pages 1~10
DOI : 10.4134/BKMS.2008.45.1.001
Abstract
We prove a sharp inequality for some multilinear operator related to Marcinkiewicz integral operator. As application, we obtain the weighted norm inequality and L log L type estimate for the multilinear operator.
2
ON SUPER EDGE-MAGIC LABELING OF SOME GRAPHS
Park, Ji-Yeon ; Choi, Jin-Hyuk ; Bae, Jae-Hyeong ;
Bulletin of the Korean Mathematical Society, volume 45, issue 1, 2008, Pages 11~21
DOI : 10.4134/BKMS.2008.45.1.011
Abstract
A graph G = (V, E) is called super edge-magic if there exists a one-to-one map
from V
E onto {1,2,3,...,|V|+|E|} such that
(V)={1,2,...,|V|} and
is constant for every edge xy. In this paper, we investigate whether some families of graphs are super edge-magic or not.
3
EXISTENCE OF NONOSCILLATORY SOLUTIONS OF HIGHER-ORDER DIFFERENCE EQUATIONS WITH POSITIVE AND NEGATIVE COEFFICIENTS
Li, Qiaoluan ; Liang, Haiyan ; Dong, Wenlei ; Zhang, Zhenguo ;
Bulletin of the Korean Mathematical Society, volume 45, issue 1, 2008, Pages 23~31
DOI : 10.4134/BKMS.2008.45.1.023
Abstract
In this paper, we investigate nonoscillatory solutions of a class of higher order neutral nonlinear difference equations with positive and negative coefficients
. Some sufficient conditions for the existence of nonoscillatory solutions are obtained.
4
TANGENTIAL REPRESENTATIONS AT ISOLATED FIXED POINTS OF ODD-DIMENSIONAL G-MANIFOLDS
Komiya, Katsuhiro ;
Bulletin of the Korean Mathematical Society, volume 45, issue 1, 2008, Pages 33~37
DOI : 10.4134/BKMS.2008.45.1.033
Abstract
Let G be a compact abelian Lie group, and M an odd-dimensional closed smooth G-manifold. If the fixed point set
and dim
, then G has a subgroup H with
, the cyclic group of order 2. The tangential representation
(M) of G at
is also regarded as a representation of H by restricted action. We show that the number of fixed points is even, and that the tangential representations at fixed points are pairwise isomorphic as representations of H.
5
SOME RESULTS ON PRECONVEXITY SPACES
Min, Won-Keun ;
Bulletin of the Korean Mathematical Society, volume 45, issue 1, 2008, Pages 39~44
DOI : 10.4134/BKMS.2008.45.1.039
Abstract
In this paper, we introduce the concepts of pre convexity neighborhoods, c-concave functions. We study some properties for c-convex functions, and characterize c-convex functions and c-concave functions by using the preconvexity neighborhoods.
6
OUTER AUTOMORPHISM GROUPS OF CERTAIN POLYGONAL PRODUCTS OF GROUPS
Kim, Goan-Su ;
Bulletin of the Korean Mathematical Society, volume 45, issue 1, 2008, Pages 45~52
DOI : 10.4134/BKMS.2008.45.1.045
Abstract
We show that certain polygonal products of any four groups, amalgamating central subgroups with trivial intersections, have Property E. Using this result, we derive that outer automorphism groups of polygonal products of four polycyclic-by-finite groups, amalgamating central subgroups with trivial intersections, are residually finite.
7
BINDING NUMBER CONDITIONS FOR (a, b, k)-CRITICAL GRAPHS
Zhou, Sizhong ;
Bulletin of the Korean Mathematical Society, volume 45, issue 1, 2008, Pages 53~57
DOI : 10.4134/BKMS.2008.45.1.053
Abstract
Let G be a graph, and let a, b, k be integers with
. Then graph G is called an (a, b, k)-critical graph if after deleting any k vertices of G the remaining graph of G has an [a, b]-factor. In this paper, the relationship between binding number bind(G) and (a, b, k)-critical graph is discussed, and a binding number condition for a graph to be (a, b, k)-critical is given.
8
X-LIFTING MODULES OVER RIGHT PERFECT RINGS
Chang, Chae-Hoon ;
Bulletin of the Korean Mathematical Society, volume 45, issue 1, 2008, Pages 59~66
DOI : 10.4134/BKMS.2008.45.1.059
Abstract
Keskin and Harmanci defined the family B(M,X) =
. And Orhan and Keskin generalized projective modules via the class B(M, X). In this note we introduce X-local summands and X-hollow modules via the class B(M, X). Let R be a right perfect ring and let M be an X-lifting module. We prove that if every co-closed submodule of any projective module P contains Rad(P), then M has an indecomposable decomposition. This result is a generalization of Kuratomi and Chang's result [9, Theorem 3.4]. Let X be an R-module. We also prove that for an X-hollow module H such that every non-zero direct summand K of H with
(H, X), if
has the internal exchange property, then H has a local endomorphism ring.
9
FIXED POINTS AND HOMOTOPY RESULTS FOR ĆIRIĆ-TYPE MULTIVALUED OPERATORS ON A SET WITH TWO METRICS
Lazar, Tania ; O'Regan, Donal ; Petrusel, Adrian ;
Bulletin of the Korean Mathematical Society, volume 45, issue 1, 2008, Pages 67~73
DOI : 10.4134/BKMS.2008.45.1.067
Abstract
The purpose of this paper is to present some fixed point results for nonself multivalued operators on a set with two metrics. In addition, a homotopy result for multivalued operators on a set with two metrics is given. The data dependence and the well-posedness of the fixed point problem are also discussed.
10
SECOND ORDER REGULAR VARIATION AND ITS APPLICATIONS TO RATES OF CONVERGENCE IN EXTREME-VALUE DISTRIBUTION
Lin, Fuming ; Peng, Zuoxiang ; Nadarajah, Saralees ;
Bulletin of the Korean Mathematical Society, volume 45, issue 1, 2008, Pages 75~93
DOI : 10.4134/BKMS.2008.45.1.075
Abstract
The rate of convergence of the distribution of order statistics to the corresponding extreme-value distribution may be characterized by the uniform and total variation metrics. de Haan and Resnick [4] derived the convergence rate when the second order generalized regularly varying function has second order derivatives. In this paper, based on the properties of the generalized regular variation and the second order generalized variation and characterized by uniform and total variation metrics, the convergence rates of the distribution of the largest order statistic are obtained under weaker conditions.
11
CLASSIFICATION OF TREES EACH OF WHOSE ASSOCIATED ACYCLIC MATRICES WITH DISTINCT DIAGONAL ENTRIES HAS DISTINCT EIGENVALUES
Kim, In-Jae ; Shader, Bryan L. ;
Bulletin of the Korean Mathematical Society, volume 45, issue 1, 2008, Pages 95~99
DOI : 10.4134/BKMS.2008.45.1.095
Abstract
It is known that each eigenvalue of a real symmetric, irreducible, tridiagonal matrix has multiplicity 1. The graph of such a matrix is a path. In this paper, we extend the result by classifying those trees for which each of the associated acyclic matrices has distinct eigenvalues whenever the diagonal entries are distinct.
12
AUGMENTATION QUOTIENTS OF INTEGRAL GROUP RINGS
Lee, Joon-Gul ;
Bulletin of the Korean Mathematical Society, volume 45, issue 1, 2008, Pages 101~103
DOI : 10.4134/BKMS.2008.45.1.101
Abstract
The structure of
for finite abelian group G is investigated.
13
METANILPOTENT GROUPS WITH CHAIN CONDITIONS FOR NORMAL SUBGROUPS OF INFINITE ORDER OR INDEX
Paek, Dae-Hyun ;
Bulletin of the Korean Mathematical Society, volume 45, issue 1, 2008, Pages 105~109
DOI : 10.4134/BKMS.2008.45.1.105
Abstract
We study the structure of metanilpotent groups satisfying the maximal condition on infinite normal subgroups or the minimal condition on normal subgroups of infinite index.
14
ISOMORPHISMS IN QUASI-BANACH ALGEBRAS
Park, Choon-Kil ; An, Jong-Su ;
Bulletin of the Korean Mathematical Society, volume 45, issue 1, 2008, Pages 111~118
DOI : 10.4134/BKMS.2008.45.1.111
Abstract
Using the Hyers-Ulam-Rassias stability method, we investigate isomorphisms in quasi-Banach algebras and derivations on quasi-Banach algebras associated with the Cauchy-Jensen functional equation
=f(x)+f(y)+2f(z), which was introduced and investigated in [2, 17]. The concept of Hyers-Ulam-Rassias stability originated from the Th. M. Rassias' stability theorem that appeared in the paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297-300. Furthermore, isometries and isometric isomorphisms in quasi-Banach algebras are studied.
15
CERTAIN GENERALIZATIONS OF G-SEQUENCES AND THEIR EXACTNESS
Lee, Kee-Young ; Woo, Moo-Ha ; Zhao, Xuezhi ;
Bulletin of the Korean Mathematical Society, volume 45, issue 1, 2008, Pages 119~131
DOI : 10.4134/BKMS.2008.45.1.119
Abstract
In this paper, we generalize the Gottlieb groups and the related G-sequence of those groups, and present some sufficient conditions to ensure the exactness or non-exactness of G-sequences at some terms. We also give some applications of the exactness or non-exactness of G-sequences. Especially, we show that the non-exactness of G-sequences implies the non-triviality of homotopy groups of some function spaces.
16
STABILITY OF THE MULTI-JENSEN EQUATION
Prager, Wolfgang ; Schwaiger, Jens ;
Bulletin of the Korean Mathematical Society, volume 45, issue 1, 2008, Pages 133~142
DOI : 10.4134/BKMS.2008.45.1.133
Abstract
Given an
and two vector spaces V and W, a function f :
is called multi-Jensen if it satisfies Jensen's equation in each variable separately. In this paper we unify these m Jensen equations to obtain a single functional equation for f and prove its stability in the sense of Hyers-Ulam, using the so-called direct method.
17
ABOUT THE PERIOD OF BELL NUMBERS MODULO A PRIME
Car, Mireille ; Gallardo, Luis H. ; Rahavandrainy, Olivier ; Vaserstein, Leonid N. ;
Bulletin of the Korean Mathematical Society, volume 45, issue 1, 2008, Pages 143~155
DOI : 10.4134/BKMS.2008.45.1.143
Abstract
Let p be a prime number. It is known that the order o(r) of a root r of the irreducible polynomial
over
divides
. Samuel Wagstaff recently conjectured that o(r) = g(p) for any prime p. The main object of the paper is to give some subsets S of {1,...,g(p)} that do not contain o(r).
18
APPROXIMATELY C
^{*}
-INNER PRODUCT PRESERVING MAPPINGS
Chmielinski, Jacek ; Moslehian, Mohammad Sal ;
Bulletin of the Korean Mathematical Society, volume 45, issue 1, 2008, Pages 157~167
DOI : 10.4134/BKMS.2008.45.1.157
Abstract
A mapping f :
between Hilbert
-modules approximately preserves the inner product if
<
>
<
>
for an appropriate control function
and all x, y
M. In this paper, we extend some results concerning the stability of the orthogonality equation to the framework of Hilbert
-modules on more general restricted domains. In particular, we investigate some asymptotic behavior and the Hyers-Ulam-Rassias stability of the orthogonality equation.
19
L
_{q}
(L
_{p}
) -THEORY OF PARABOLIC PDEs WITH VARIABLE COEFFICIENTS
Kim, Kyeong-Hun ;
Bulletin of the Korean Mathematical Society, volume 45, issue 1, 2008, Pages 169~190
DOI : 10.4134/BKMS.2008.45.1.169
Abstract
Second-order parabolic equations with variable coefficients are considered on
and
domains. Existence and uniqueness results are given in
-spaces, where it is allowed for the powers of summability with respect to space and time variables to be different.
20
TWO-DIMENSIONAL RIEMANN PROBLEM FOR BURGERS' EQUATION
Yoon, Dae-Ki ; Hwang, Woon-Jae ;
Bulletin of the Korean Mathematical Society, volume 45, issue 1, 2008, Pages 191~205
DOI : 10.4134/BKMS.2008.45.1.191
Abstract
In this paper, we construct the analytic solutions and numerical solutions for a two-dimensional Riemann problem for Burgers' equation. In order to construct the analytic solution, we use the characteristic analysis with the shock and rarefaction base points. We apply the composite scheme suggested by Liska and Wendroff to compute numerical solutions. The result is coincident with our analytic solution. This demonstrates that the composite scheme works pretty well for Burgers' equation despite of its simplicity.