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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 :
Yun Sung Choi
Volume & Issues
Volume 49, Issue 6 - Nov 2012
Volume 49, Issue 5 - Sep 2012
Volume 49, Issue 4 - Jul 2012
Volume 49, Issue 3 - May 2012
Volume 49, Issue 2 - Mar 2012
Volume 49, Issue 1 - Jan 2012
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1
LIMSUP RESULTS AND A GENERALIZED UNIFORM LIL FOR AN LPQD SEQUENCE
Choi, Yong-Kab ; Hwang, Kyo-Shin ; Moon, Hee-Jin ;
Journal of the Korean Mathematical Society, volume 49, issue 2, 2012, Pages 223~233
DOI : 10.4134/JKMS.2012.49.2.223
Abstract
In this paper we establish some limsup results and a generalized uniform law of the iterated logarithm (LIL) for the increments of partial sums of a strictly stationary and linearly positive quadrant dependent (LPQD) sequence of random variables.
2
PRECISE ASYMPTOTICS OF MOVING AVERAGE PROCESS UNDER ?-MIXING ASSUMPTION
Li, Jie ;
Journal of the Korean Mathematical Society, volume 49, issue 2, 2012, Pages 235~249
DOI : 10.4134/JKMS.2012.49.2.235
Abstract
In the paper by Liu and Lin (Statist. Probab. Lett. 76 (2006), no. 16, 1787-1799), a new kind of precise asymptotics in the law of large numbers for the sequence of i.i.d. random variables, which includes complete convergence as a special case, was studied. This paper is devoted to the study of this new kind of precise asymptotics in the law of large numbers for moving average process under
-mixing assumption and some results of Liu and Lin [6] are extended to such moving average process.
3
A BORSUK-ULAM TYPE THEOREM OVER ITERATED SUSPENSIONS OF REAL PROJECTIVE SPACES
Tanaka, Ryuichi ;
Journal of the Korean Mathematical Society, volume 49, issue 2, 2012, Pages 251~263
DOI : 10.4134/JKMS.2012.49.2.251
Abstract
A CW complex B is said to be I-trivial if there does not exist a
-map from
to S(
) for any vector bundle
over B a any integer i with i > dim
. In this paper, we consider the question of determining whether
is I-trivial or not, and to this question we give complete answers when k
1, 3, 8 and partial answers when k
4
ROLLING STONES WITH NONCONVEX SIDES I: REGULARITY THEORY
Lee, Ki-Ahm ; Rhee, Eun-Jai ;
Journal of the Korean Mathematical Society, volume 49, issue 2, 2012, Pages 265~291
DOI : 10.4134/JKMS.2012.49.2.265
Abstract
In this paper, we consider the regularity theory and the existence of smooth solution of a degenerate fully nonlinear equation describing the evolution of the rolling stones with nonconvex sides: $\{M(h)
5
THE CHIRAL SUPERSTRING SIEGEL FORM IN DEGREE TWO IS A LIFT
Poor, Cris ; Yuen, David S. ;
Journal of the Korean Mathematical Society, volume 49, issue 2, 2012, Pages 293~314
DOI : 10.4134/JKMS.2012.49.2.293
Abstract
We prove that the Siegel modular form of D`Hoker and Phong that gives the chiral superstring measure in degree two is a lift. This gives a fast algorithm for computing its Fourier coefficients. We prove a general lifting from Jacobi cusp forms of half integral index t/2 over the theta group
(1, 2) to Siegel modular cusp forms over certain subgroups
(t; 1, 2) of paramodular groups. The theta group lift given here is a modification of the Gritsenko lift.
6
GLOBAL EXISTENCE FOR 3D NAVIER-STOKES EQUATIONS IN A LONG PERIODIC DOMAIN
Kim, Nam-Kwon ; Kwak, Min-Kyu ;
Journal of the Korean Mathematical Society, volume 49, issue 2, 2012, Pages 315~324
DOI : 10.4134/JKMS.2012.49.2.315
Abstract
We consider the global existence of strong solutions of the 3D incompressible Navier-Stokes equations in a long periodic domain. We show by a simple argument that a strong solution exists globally in time when the initial velocity in
and the forcing function in
([0; T);
), T > 0,
satisfy a certain condition. This condition common appears for the global existence in thin non-periodic domains. Larger and larger initial data and forcing functions satisfy this condition as the thickness of the domain
tends to zero.
7
THE ASYMPTOTIC BEHAVIOUR OF THE m-TH ORDER CARDINAL B-SPLINE WAVELET
Kerman, Ronald ; Kim, Mi-Ae ; Spektor, Susanna ;
Journal of the Korean Mathematical Society, volume 49, issue 2, 2012, Pages 325~342
DOI : 10.4134/JKMS.2012.49.2.325
Abstract
It is well-known that the m-th order cardinal B-spline wave-let,
, decays exponentially. Our aim in this paper is to determine the exact rate of this decay and thereby to describe the asymptotic behaviour of
.
8
ON THE CANONICAL CUSPS IN COMPLEX HYPERBOLIC SURFACES
Kim, Joon-Hyung ;
Journal of the Korean Mathematical Society, volume 49, issue 2, 2012, Pages 343~356
DOI : 10.4134/JKMS.2012.49.2.343
Abstract
In this paper, we consider the canonical cusps in complex hyperbolic surfaces. We will classify canonical cusps in complex hyper-bolic surfaces and find correspondence between them and 3-dimensiona nilpotent groups. This paper is a sequel of our paper [6].
9
THE EXISTENCE OF GLOBAL ATTRACTOR FOR CONVECTIVE CAHN-HILLIARD EQUATION
Zhao, Xiaopeng ; Liu, Bo ;
Journal of the Korean Mathematical Society, volume 49, issue 2, 2012, Pages 357~378
DOI : 10.4134/JKMS.2012.49.2.357
Abstract
In this paper, we consider the convective Cahn-Hilliard equation. Based on the regularity estimates for the semigroups, iteration technique and the classical existence theorem of global attractors, we prove that the convective Cahn-Hilliard equation possesses a global attractor in
(
) space, which attracts any bounded subset of
in the
-norm.
10
HOLOMORPHIC FUNCTIONS ON ALMOST COMPLEX MANIFOLDS
Han, Chong-Kyu ; Kim, Hye-Seon ;
Journal of the Korean Mathematical Society, volume 49, issue 2, 2012, Pages 379~394
DOI : 10.4134/JKMS.2012.49.2.379
Abstract
Given an almost complex structure (
, J),
, that is defined by setting $\theta^{\alpha}
11
SOME REMARKS ON VECTOR-VALUED TREE MARTINGALES
He, Tong-Jun ;
Journal of the Korean Mathematical Society, volume 49, issue 2, 2012, Pages 395~404
DOI : 10.4134/JKMS.2012.49.2.395
Abstract
Our first aim of this paper is to define maximal operators a-quadratic variation and of a-conditional quadratic variation for vectorvalued tree martingales and to show that these maximal operators and maximal operators of vector-valued tree martingale transforms are all sublinear operators. The second purpose is to prove that maximal operator inequalities of a-quadratic variation and of a-conditional quadratic variation for vector-valued tree martingales hold provided 2
a <
by means of Marcinkiewicz interpolation theorem. Based on a result of reference [10] and using Marcinkiewicz interpolation theorem, we also propose a simple proof of maximal operator inequalities for vector-valued tree martingale transforms, under which the vector-valued space is a UMD space.
12
THE MINIMAL FREE RESOLUTION OF A STAR-CONFIGURATION IN ?
^{n}
AND THE WEAK LEFSCHETZ PROPERTY
Ahn, Jea-Man ; Shin, Yong-Su ;
Journal of the Korean Mathematical Society, volume 49, issue 2, 2012, Pages 405~417
DOI : 10.4134/JKMS.2012.49.2.405
Abstract
We find the Hilbert function and the minimal free resolution of a star-configuration in
. The conditions are provided under which the Hilbert function of a star-configuration in
is generic or non-generic We also prove that if
and
are linear star-configurations in
of types t and s, respectively, with
, then the Artinian k-algebra
has the weak Lefschetz property.
13
CHARACTERIZATIONS OF LIE HIGHER AND LIE TRIPLE DERIVATIONS ON TRIANGULAR ALGEBRAS
Li, Jiankui ; Shen, Qihua ;
Journal of the Korean Mathematical Society, volume 49, issue 2, 2012, Pages 419~433
DOI : 10.4134/JKMS.2012.49.2.419
Abstract
In this paper, we show that under certain conditions every Lie higher derivation and Lie triple derivation on a triangular algebra are proper, respectively. The main results are then applied to (block) upper triangular matrix algebras and nest algebras.
14
SEMIPRIME SUBMODULES OF GRADED MULTIPLICATION MODULES
Lee, Sang-Cheol ; Varmazyar, Rezvan ;
Journal of the Korean Mathematical Society, volume 49, issue 2, 2012, Pages 435~447
DOI : 10.4134/JKMS.2012.49.2.435
Abstract
Let G be a group. Let R be a G-graded commutative ring with identity and M be a G-graded multiplication module over R. A proper graded submodule Q of M is semiprime if whenever
, where
, n is a positive integer, and
, then
. We characterize semiprime submodules of M. For example, we show that a proper graded submodule Q of M is semiprime if and only if grad$(Q){\cap}h(M)