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Journal of the Korean Mathematical Society
Journal Basic Information
pISSN :
0304-9914
eISSN :
2234-3008
Journal DOI :
10.4134/JKMS
Frequency :
Others
Publisher:
The Korean Mathematical Society
Editor in Chief :
Volume & Issues
Volume 39, Issue 6 - Nov 2002
Volume 39, Issue 5 - Sep 2002
Volume 39, Issue 4 - Jul 2002
Volume 39, Issue 3 - May 2002
Volume 39, Issue 2 - Mar 2002
Volume 39, Issue 1 - Jan 2002
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1
STABLE CLASS OF EQUIVARIANT ALGEBRAIC VECTOR BUNDLES OVER REPRESENTATIONS
Masuda, Mikiya ;
Journal of the Korean Mathematical Society, volume 39, issue 3, 2002, Pages 331~349
DOI : 10.4134/JKMS.2002.39.3.331
Abstract
Let G be a reductive algebraic group and let B, F be G-modules. We denote by
(B, F) the set of isomorphism classes in algebraic G-vector bundles over B with F as the fiber over the origin of B. Schwarz (or Karft-Schwarz) shows that
(B, F) admits an abelian group structure when dim B∥G = 1. In this paper, we introduce a stable functor
(B,
) and prove that it is an abelian group for any G-module B. We also show that this stable functor will have nice properties.
2
ON HOLDER-MCCARTHY-TYPE INEQUALITIES WITH POWERS
Lin, Chia-Shiang ; Cho, Yeol-Je ;
Journal of the Korean Mathematical Society, volume 39, issue 3, 2002, Pages 351~361
DOI : 10.4134/JKMS.2002.39.3.351
Abstract
We extend the Holder-McCarthy inequality for a positive and an arbitrary operator, respectively. The powers of each inequality are given and the improved Reid's inequality by Halmos is generalized. We also give the bound of the Holder-McCarthy inequality by recursion.
3
STABLE LOW ORDER NONCONFORMING QUADRILATERAL FINITE ELEMENTS FOR THE STOKES PROBLEM
Kim, Young-Deok ; Kim, Se-Ki ;
Journal of the Korean Mathematical Society, volume 39, issue 3, 2002, Pages 363~376
DOI : 10.4134/JKMS.2002.39.3.363
Abstract
Stability result is obtained for the approximation of the stationary Stokes problem with nonconforming elements proposed by Douglas et al [1] for the velocity and discontinuous piecewise constants for the pressure on qudrilateral elements. Optimal order
and
error estimates are derived.
4
A SUFFICIENT CONDITION FOR THE UNIQUENESS OF POSITIVE STEADY STATE TO A REACTION DIFFUSION SYSTEM
Kang, Joon-Hyuk ; Oh, Yun-Myung ;
Journal of the Korean Mathematical Society, volume 39, issue 3, 2002, Pages 377~385
DOI : 10.4134/JKMS.2002.39.3.377
Abstract
In this paper, we concentrate on the uniquencess of the positive solution for the general elliptic system
u+u(
(u)-
(v))=0
u+u(
(u)-
(v))=0 in
,
. This system is the general model for the steady state of a competitive interacting system. The techniques used in this paper are upper-lower solutions, maximum principles and spectrum estimates. The arguments also rely on some detailed properties for the solution of logistic equations.
5
FIXED POINT THEOREMS, SECTION PROPERTIES AND MINIMAX INEQUALITIES ON K-G-CONVEX SPACES
Balaj, Mircea ;
Journal of the Korean Mathematical Society, volume 39, issue 3, 2002, Pages 387~395
DOI : 10.4134/JKMS.2002.39.3.387
Abstract
In [11] Kim obtained fixed point theorems for maps defined on some “locally G-convex”subsets of a generalized convex space. Theorem 2 in Kim's article determines us to introduce, in this paper, the notion of K-G-convex space. In this framework we obtain fixed point theorems, section properties and minimax inequalities.
6
INEQUALITIES FOR VECTOR-VALUED MAXIMAL FUNCTIONS OVER LOCALLY COMPACT VILENKIN GROUPS
Senhua, Lan ; Lanzhe, Liu ;
Journal of the Korean Mathematical Society, volume 39, issue 3, 2002, Pages 397~410
DOI : 10.4134/JKMS.2002.39.3.397
Abstract
In this paper, some inequalities for vector-valued maximal functions over locally compact Vienkin groups are obtained.
7
ON A CONNECTION ON A HYPERCONTACT MANIFOLD
Kim, Hyun-Suk ;
Journal of the Korean Mathematical Society, volume 39, issue 3, 2002, Pages 411~424
DOI : 10.4134/JKMS.2002.39.3.411
Abstract
We construct the canonical connection associated with a hypercontact structure. Moreover, we discuss the canonical connection associated with a sub-Riemannian 3-structure. As an application, we study the sub-symmetry property in terms of the canonical connection.
8
ESTIMATES OF THE BERGMAN KERNEL FUNCTION ON PSEUDOCONVEX DOMAINS WITH COMPARABLE LEVI FORM
Cho, Sang-Hyun ;
Journal of the Korean Mathematical Society, volume 39, issue 3, 2002, Pages 425~437
DOI : 10.4134/JKMS.2002.39.3.425
Abstract
Let
be a smoothly bounded pseudoconvex domain in
and let
b
a point of finite type. We also assume that the Levi form of b
is comparable in a neighborhood of
. Then we get precise estimates of the Bergman kernel function,
(z, w), and its derivatives in a neighborhood of
. .
9
EXISTENCE OF THE THIRD POSITIVE RADIAL SOLUTION OF A SEMILINEAR ELLIPTIC PROBLEM ON AN UNBOUNDED DOMAIN
Ko, Bong-Soo ; Lee, Yong-Hoon ;
Journal of the Korean Mathematical Society, volume 39, issue 3, 2002, Pages 439~460
DOI : 10.4134/JKMS.2002.39.3.439
Abstract
We prove the multiplicity of ordered positive radial solutions for a semilinear elliptic problem defined on an exterior domain. The key argument is to prove the existence of the third solution in presence of two known solutions. For this, we obtain some partial results related to three solutions theorem for certain singular boundary value problems. Proof are mainly based on the upper and lower solutions method and degree theory.
10
SEPARABILITY PROPERTIES OF CERTAIN POLYGONAL PRODUCTS OF GROUPS
Kim, Goan-Su ; Tang, C.Y. ;
Journal of the Korean Mathematical Society, volume 39, issue 3, 2002, Pages 461~494
DOI : 10.4134/JKMS.2002.39.3.461
Abstract
Let G = E
, where A is a finitely generated abelian subgroup. We prove a criterion for G to be {A}-double coset separable. Applying this result, we show that polygonal products of central subgroup separable groups, amalgamating trivial intersecting central subgroups, are double coset separable relative to certain central subgroups of their vertex groups. Finally we show that such polygonal products are conjugacy separable. It follows that polygonal products of polycyclic-by-finite groups, amalgamating trivial intersecting central subgroups, are conjugacy separable.