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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 47, Issue 6 - Nov 2010
Volume 47, Issue 5 - Sep 2010
Volume 47, Issue 4 - Jul 2010
Volume 47, Issue 3 - May 2010
Volume 47, Issue 2 - Mar 2010
Volume 47, Issue 1 - Jan 2010
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1
THE ZEROS DISTRIBUTION OF SOLUTIONS OF HIGHER ORDER DIFFERENTIAL EQUATIONS IN AN ANGULAR DOMAIN
Huang, Zhibo ; Chen, Zongxuan ;
Bulletin of the Korean Mathematical Society, volume 47, issue 3, 2010, Pages 443~454
DOI : 10.4134/BKMS.2010.47.3.443
Abstract
In this paper, we investigate the zeros distribution and Borel direction for the solutions of linear homogeneous differential equation
in an angular domain. Especially, we establish a relation between a cluster ray of zeros and Borel direction.
2
THE EXISTENCE RESULTS OF COUPLED QUASI-SOLUTIONS FOR A CLASS OF OPERATOR EQUATIONS
Cho, Yeol-Je ; He, Guang ; Huang, Nan-Jing ;
Bulletin of the Korean Mathematical Society, volume 47, issue 3, 2010, Pages 455~465
DOI : 10.4134/BKMS.2010.47.3.455
Abstract
In this paper, by using the semi-order method, two new existence theorems of coupled quasi-solutions for a class of nonlinear operator equations in Banach spaces are proved under some suitable conditions.
3
MEAN CONVERGENCE THEOREMS AND WEAK LAWS OF LARGE NUMBERS FOR DOUBLE ARRAYS OF RANDOM ELEMENTS IN BANACH SPACES
Dung, Le Van ; Tien, Nguyen Duy ;
Bulletin of the Korean Mathematical Society, volume 47, issue 3, 2010, Pages 467~482
DOI : 10.4134/BKMS.2010.47.3.467
Abstract
For a double array of random elements {
} in a real separable Banach space, some mean convergence theorems and weak laws of large numbers are established. For the mean convergence results, conditions are provided under which
in
(0 < r < 2). The weak law results provide conditions for
in probability where {
} and {
} are sequences of positive integer-valued random variables, {
} is an array of positive integers. The sharpness of the results is illustrated by examples.
4
A NOTE ON SEMI-SELFDECOMPOSABILITY AND OPERATOR SEMI-STABILITY IN SUBORDINATION
Choi, Gyeong-Suk ; Kim, Yun-Kyong ; Joo, Sang-Yeol ;
Bulletin of the Korean Mathematical Society, volume 47, issue 3, 2010, Pages 483~490
DOI : 10.4134/BKMS.2010.47.3.483
Abstract
Some results on inheritance of operator semi-selfdecomposability and its decreasing subclass property from subordinator to subordinated in subordination of a L
evy process are given. A main result is an extension of results of [5] to semi-selfdecomposable subordinator. Its consequence is discussed.
5
STABILITY OF A FUNCTIONAL EQUATION DERIVING FROM QUARTIC AND ADDITIVE FUNCTIONS
Gordji, Madjid Eshaghi ;
Bulletin of the Korean Mathematical Society, volume 47, issue 3, 2010, Pages 491~502
DOI : 10.4134/BKMS.2010.47.3.491
Abstract
In this paper, we obtain the general solution and the generalized Hyers-Ulam Rassias stability of the functional equation f(2x + y) + f(2x - y) = 4(f(x + y) + f(x - y)) -
(f(2y) - 2f(y)) + 2f(2x) - 8f(x).
6
BROWDER'S TYPE STRONG CONVERGENCE THEOREM FOR S-NONEXPANSIVE MAPPINGS
Kim, Jong-Kyu ; Sahu, Daya Ram ; Anwar, Sajid ;
Bulletin of the Korean Mathematical Society, volume 47, issue 3, 2010, Pages 503~511
DOI : 10.4134/BKMS.2010.47.3.503
Abstract
We prove a common fixed point theorem for S-contraction mappings without continuity. Using this result we obtain an approximating curve for S-nonexpansive mappings in a Banach space and prove Browder's type strong convergence theorem for this approximating curve. The demiclosedness principle for S-nonexpansive mappings is also established.
7
UNIVERSAL HYPERDYNAMICAL SYSTEMS
Nezhad, A. Dehghan ; Davvaz, B. ;
Bulletin of the Korean Mathematical Society, volume 47, issue 3, 2010, Pages 513~526
DOI : 10.4134/BKMS.2010.47.3.513
Abstract
In this paper, the theory of n-ary hypergroups and some applications of hyperalgebras (Fredholm-Voltra integral, copula) are studied. We define some new concepts of topological hyperdynamical systems, universal hyperdynamical systems and immersed universal hyperalgebra. Also, we present some results in this respect.
8
A WEIGHTED COMPOSITION OPERATOR ON THE LOGARITHMIC BLOCH SPACE
Ye, Shanli ;
Bulletin of the Korean Mathematical Society, volume 47, issue 3, 2010, Pages 527~540
DOI : 10.4134/BKMS.2010.47.3.527
Abstract
We characterize the boundedness and compactness of the weighted composition operator on the logarithmic Bloch space
<+
and the little logarithmic Bloch space
. The results generalize the known corresponding results on the composition operator and the pointwise multiplier on the logarithmic Bloch space
and the little logarithmic Bloch space
.
9
SCALAR CURVATURE OF CONTACT CR-SUBMANIFOLDS IN AN ODD-DIMENSIONAL UNIT SPHERE
Kim, Hyang-Sook ; Pak, Jin-Suk ;
Bulletin of the Korean Mathematical Society, volume 47, issue 3, 2010, Pages 541~549
DOI : 10.4134/BKMS.2010.47.3.541
Abstract
In this paper we derive an integral formula on an (n + 1)-dimensional, compact, minimal contact CR-submanifold M of (n - 1) contact CR-dimension immersed in a unit (2m+1)-sphere
. Using this integral formula, we give a sufficient condition concerning with the scalar curvature of M in order that such a submanifold M is to be a generalized Clifford torus.
10
REAL HYPERSURFACES OF TYPE B IN COMPLEX TWO-PLANE GRASSMANNIANS RELATED TO THE REEB VECTOR
Lee, Hyun-Jin ; Suh, Young-Jin ;
Bulletin of the Korean Mathematical Society, volume 47, issue 3, 2010, Pages 551~561
DOI : 10.4134/BKMS.2010.47.3.551
Abstract
In this paper we give a new characterization of real hypersurfaces of type B, that is, a tube over a totally geodesic
in complex two-plane Grassmannians
, where m = 2n, with the Reeb vector
belonging to the distribution
, where
denotes a subdistribution in the tangent space
such that
=
for any point
and
.
11
NEW LOOK AT THE CONSTRUCTIONS OF MULTIWAVELET FRAMES
Kim, Hong-Oh ; Kim, Rae-Young ; Lim, Jae-Kun ;
Bulletin of the Korean Mathematical Society, volume 47, issue 3, 2010, Pages 563~573
DOI : 10.4134/BKMS.2010.47.3.563
Abstract
Using the fiberization technique of a shift-invariant space and the matrix characterization of the decomposition of a shift-invariant space of finite length into an orthogonal sum of singly generated shift-invariant spaces, we show that the main result in [13] can be interpreted as a statement about the length of a shift-invariant space, and give a more natural construction of multiwavelet frames from a frame multiresolution analysis of
.
12
A NEW APPROACH TO q-GENOCCHI NUMBERS AND POLYNOMIALS
Kurt, Veli ; Cenkci, Mehmet ;
Bulletin of the Korean Mathematical Society, volume 47, issue 3, 2010, Pages 575~583
DOI : 10.4134/BKMS.2010.47.3.575
Abstract
In this paper, new q-analogs of Genocchi numbers and polynomials are defined. Some important arithmetic and combinatoric relations are given, in particular, connections with q-Bernoulli numbers and polynomials are obtained.
13
PRECISE ASYMPTOTICS FOR THE MOMENT CONVERGENCE OF MOVING-AVERAGE PROCESS UNDER DEPENDENCE
Zang, Qing-Pei ; Fu, Ke-Ang ;
Bulletin of the Korean Mathematical Society, volume 47, issue 3, 2010, Pages 585~592
DOI : 10.4134/BKMS.2010.47.3.585
Abstract
Let {
} be a strictly stationary sequence of linearly positive quadrant dependent random variables and
<
. In this paper, we prove the precise asymptotics in the law of iterated logarithm for the moment convergence of moving-average process of the form
14
MOTIVICITY OF THE MIXED HODGE STRUCTURE OF SOME DEGENERATIONS OF CURVES
Chae, Hi-Joon ; Jun, Byung-Heup ;
Bulletin of the Korean Mathematical Society, volume 47, issue 3, 2010, Pages 593~610
DOI : 10.4134/BKMS.2010.47.3.593
Abstract
We consider a degeneration of genus 2 curves, which is opposite to maximal degeneration in a sense. Such a degeneration of curves yields a variation of mixed Hodge structure with monodromy weight filtration. The mixed Hodge structure at each fibre, which is different from the limit mixed Hodge structure of Schmid and Steenbrink, can be realized as
of a noncompact singular elliptic curve. We also prove that the pull back of the above variation of mixed Hodge structure to a double cover of the base space comes from a family of noncompact singular elliptic curves.
15
MAX-INJECTIVE, MAX-FLAT MODULES AND MAX-COHERENT RINGS
Xiang, Yueming ;
Bulletin of the Korean Mathematical Society, volume 47, issue 3, 2010, Pages 611~622
DOI : 10.4134/BKMS.2010.47.3.611
Abstract
A ring R is called left max-coherent provided that every maximal left ideal is finitely presented.
(resp.
) denotes the class of all max-injective left R-modules (resp. all max-flat right R-modules). We prove, in this article, that over a left max-coherent ring every right R-module has an
-preenvelope, and every left R-module has an
-cover. Furthermore, it is shown that a ring R is left max-injective if and only if any left R-module has an epic
-cover if and only if any right R-module has a monic
-preenvelope. We also give several equivalent characterizations of MI-injectivity and MI-flatness. Finally,
-dimensions of modules and rings are studied in terms of max-injective modules with the left derived functors of Hom.
16
ON A POSITIVE SUBHARMONIC BERGMAN FUNCTION
Kim, Jung-Ok ; Kwon, Ern-Gun ;
Bulletin of the Korean Mathematical Society, volume 47, issue 3, 2010, Pages 623~632
DOI : 10.4134/BKMS.2010.47.3.623
Abstract
A holomorphic function F defined on the unit disc belongs to
(0 < p <
, 1 <
<
) if
dxdy <
. For boundedness of the composition operator defined by
mapping Blochs into
the following (1) is a sufficient condition while (2) is a necessary condition. (1)
<
(2)
<
.
17
CHARACTERIZATIONS OF DISTRIBUTIVE LATTICES AND SEMICONTINUOUS LATTICES
Guanghao, Jiang ; Weixue, Shi ;
Bulletin of the Korean Mathematical Society, volume 47, issue 3, 2010, Pages 633~643
DOI : 10.4134/BKMS.2010.47.3.633
Abstract
In this paper, the concept of maximal ideals relative to a filter on posets is introduced and examined. An intrinsic characterization of distributive lattices is obtained. In addition, we also give a characterization of pseudo primes in semicontinuous lattices and a characterization of semicontinuous lattices. Functions of semicontinuous lattices which are order preserving and semicontinuous are studied. A new concept of semiarithmetic lattices is introduced and examined.
18
RATIONAL DIFFERENCE EQUATIONS WITH POSITIVE EQUILIBRIUM POINT
Dubickas, Arturas ;
Bulletin of the Korean Mathematical Society, volume 47, issue 3, 2010, Pages 645~651
DOI : 10.4134/BKMS.2010.47.3.645
Abstract
In this note we study positive solutions of the mth order rational difference equation
, where n = m,m+1,m+2,
and
> 0. We describe a sufficient condition on nonnegative real numbers
under which every solution
of the above equation tends to the limit
/2B as
, where
and
.
19
UNIT-REGULARITY AND STABLE RANGE ONE
Chen, Huanyin ;
Bulletin of the Korean Mathematical Society, volume 47, issue 3, 2010, Pages 653~661
DOI : 10.4134/BKMS.2010.47.3.653
Abstract
Let R be a ring, and let
(R) be the ideal generated by the set {x
R | 1 + sxt
R is unit-regular for all s, t
R}. We show that
(R) has "radical-like" property. It is proven that
(R) has stable range one. Thus, diagonal reduction of matrices over such ideal is reduced.