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Communications of the Korean Mathematical Society
Journal Basic Information
pISSN :
1225-1763
eISSN :
2234-3024
Journal DOI :
10.4134/CKMS
Frequency :
Others
Publisher:
The Korean Mathematical Society
Editor in Chief :
Seoung Dal Jung
Volume & Issues
Volume 22, Issue 4 - Oct 2007
Volume 22, Issue 3 - Jul 2007
Volume 22, Issue 2 - Apr 2007
Volume 22, Issue 1 - Jan 2007
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1
SUBTRACTION ALGEBRAS WITH ADDITIONAL CONDITIONS
Jun, Young-Bae ; Kim, Young-Hee ; Oh, Kyong-Ah ;
Communications of the Korean Mathematical Society, volume 22, issue 1, 2007, Pages 1~7
DOI : 10.4134/CKMS.2007.22.1.001
Abstract
Subtraction algebras with additional conditions, so called complicated subtraction algebras, are introduced, and several properties are investigated. In a complicated subtraction algebra, characterizations of ideals are provided, and showed that the set of all ideals in a complicated subtraction algebra is a complete lattice.
2
EXTENDED SPECIAL SETS IN IMPLICATIVE SEMIGROUPS
Bang, Keum-Seong ; So, Keum-Sook ;
Communications of the Korean Mathematical Society, volume 22, issue 1, 2007, Pages 9~14
DOI : 10.4134/CKMS.2007.22.1.009
Abstract
In this paper, we introduce more extended special sets in implicative semigroups, and obtain some relations with ordered filters.
3
THE STRONG PERRON INTEGRAL IN ℝ
^{n}
REVISITED
Skvortsov Valentin A. ; Sworowski Piotr ;
Communications of the Korean Mathematical Society, volume 22, issue 1, 2007, Pages 15~18
DOI : 10.4134/CKMS.2007.22.1.015
Abstract
It is shown that
McShane and strong Perron integrals considered in [1] are equivalent to the usual McShane integral.
4
SUFFICIENT CONDITIONS FOR STARLIKENESS AND STRONGLY-STARLIKENESS
Kwon, Oh-Sang ;
Communications of the Korean Mathematical Society, volume 22, issue 1, 2007, Pages 19~26
DOI : 10.4134/CKMS.2007.22.1.018
Abstract
In this paper we derive certain sufficient conditions for star-likeness and strongly-starlikeness of analytic functions in U, by using the method of differential subordination.
5
C-INTEGRAL AND DENJOY-C INTEGRAL
Zhao, Dafang ; Ye, Guoju ;
Communications of the Korean Mathematical Society, volume 22, issue 1, 2007, Pages 27~39
DOI : 10.4134/CKMS.2007.22.1.027
Abstract
In this paper, we define and study the C-integral of functions mapping an interval [a,b] into a Banach space X and discuss the relations among Henstock integral, C-integral and McShane integral. We also study the Denjoy extension of the C-integral.
6
ON 3-ADDITIVE MAPPINGS AND COMMUTATIVITY IN CERTAIN RINGS
Park, Kyoo-Hong ; Jung, Yong-Soo ;
Communications of the Korean Mathematical Society, volume 22, issue 1, 2007, Pages 41~51
DOI : 10.4134/CKMS.2007.22.1.041
Abstract
Let R be a ring with left identity e and suitably-restricted additive torsion, and Z(R) its center. Let H :
be a symmetric 3-additive mapping, and let h be the trace of H. In this paper we show that (i) if for each
, $$
n=<<\cdots
,\;x>,\;\cdots,x>{\in}Z(R)$$ with
fixed, then h is commuting on R. Moreover, h is of the form
, where
,
is an additive commuting mapping,
is the commuting trace of a bi-additive mapping and the mapping
is the trace of a symmetric 3-additive mapping; (ii) for each
, either $
n=0\;or\;<
n,\;x^m>=0$ with
fixed, then h = 0 on R, where
denotes the product yx+xy and Z(R) is the center of R. We also present the conditions which implies commutativity in rings with identity as motivated by the above result.
7
MONOTONE ITERATION SCHEME FOR A FORCED DUFFING EQUATION WITH NONLOCAL THREE-POINT CONDITIONS
Alsaedi, Ahmed ;
Communications of the Korean Mathematical Society, volume 22, issue 1, 2007, Pages 53~64
DOI : 10.4134/CKMS.2007.22.1.053
Abstract
In this paper, we apply the generalized quasilinearization technique to a forced Duffing equation with three-point mixed nonlinear nonlocal boundary conditions and obtain sequences of upper and lower solutions converging monotonically and quadratically to the unique solution of the problem.
8
NOTES ON CARLESON TYPE MEASURES ON BOUNDED SYMMETRIC DOMAIN
Choi, Ki-Seong ;
Communications of the Korean Mathematical Society, volume 22, issue 1, 2007, Pages 65~74
DOI : 10.4134/CKMS.2007.22.1.065
Abstract
Suppose that
is a finite positive Borel measure on bounded symmetric domain
is the Euclidean volume measure such that
. Suppose 1 < p <
and r > 0. In this paper, we will show that the norms
,
and
are are all equivalent. We will also show that the inclusion mapping
is compact if and only if lim
.
9
FOURIER-FEYNMAN TRANSFORMS FOR FUNCTIONALS IN A GENERALIZED FRESNEL CLASS
Yoo, Il ; Kim, Byoung-Soo ;
Communications of the Korean Mathematical Society, volume 22, issue 1, 2007, Pages 75~90
DOI : 10.4134/CKMS.2007.22.1.075
Abstract
Huffman, Park and Skoug introduced various results for the
analytic Fourier-Feynman transform and the convolution for functionals on classical Wiener space which belong to some Banach algebra S introduced by Cameron and Strovic. Also Chang, Kim and Yoo extended the above results to an abstract Wiener space for functionals in the Fresnel class F(B) which corresponds to S. Recently Kim, Song and Yoo investigated more generalized relationships between the Fourier-Feynman transform and the convolution product for functionals in a generalized Fresnel class
containing F(B). In this paper, we establish various interesting relationships and expressions involving the first variation and one or two of the concepts of the Fourier-Feynman transform and the convolution product for functionals in
.
10
CHANGE OF SCALE FORMULAS FOR CONDITIONAL WIENER INTEGRALS AS INTEGRAL TRANSFORMS OVER WIENER PATHS IN ABSTRACT WIENER SPACE
Cho, Dong-Hyun ;
Communications of the Korean Mathematical Society, volume 22, issue 1, 2007, Pages 91~109
DOI : 10.4134/CKMS.2007.22.1.091
Abstract
In this paper, we derive a change of scale formula for conditional Wiener integrals, as integral transforms, of possibly unbounded functions over Wiener paths in abstract Wiener space. In fact, we derive the change of scale formula for the product of the functions in a Banach algebra which is equivalent to both the Fresnel class and the space of measures of bounded variation over a real separable Hilbert space, and the
cylinder functions over Wiener paths in abstract Wiener space. As an application of the result, we obtain a change of scale formula for the conditional analytic Fourier-Feynman transform of the product of the functions.
11
GROWTH NORM ESTIMATES FOR ¯∂ ON CONVEX DOMAINS
Cho, Hong-Rae ; Kwon, Ern-Gun ;
Communications of the Korean Mathematical Society, volume 22, issue 1, 2007, Pages 111~119
DOI : 10.4134/CKMS.2007.22.1.111
Abstract
We consider the growth norm of a measurable function f defined by defined by
, where
denote the distance from z to
. We prove some kind of optimal growth norm estimates for a on convex domains.
12
ADDENDUM TO THE PAPER: ON THE DEVELOPMENT OF THE INTERSECTION OF A PLANE WITH A POLYTOPE
Koh, Sung-Eun ;
Communications of the Korean Mathematical Society, volume 22, issue 1, 2007, Pages 121~122
DOI : 10.4134/CKMS.2007.22.1.121
Abstract
13
SLANT SUBMANIFOLDS OF QUATERNION KAEHLER MANIFOLDS
Sahin, Bayram ;
Communications of the Korean Mathematical Society, volume 22, issue 1, 2007, Pages 123~135
DOI : 10.4134/CKMS.2007.22.1.123
Abstract
This paper has two objectives. The first objective is to study slant submanifolds of quaternion Kaehler manifolds. We give characterization theorems and examples of slant submanifolds. For the second objective, we introduce the notion of semi-slant submanifolds which are different from the definition of N. Papaghiuc [15]. We obtain characterization theorems, examples of semi-slant sub manifolds and investigate the geometry of leaves of distributions which are involved in the definition of semi-slant submanifolds.
14
EXPONENTIAL PROBABILITY INEQUALITY FOR LINEARLY NEGATIVE QUADRANT DEPENDENT RANDOM VARIABLES
Ko, Mi-Hwa ; Choi, Yong-Kab ; Choi, Yue-Soon ;
Communications of the Korean Mathematical Society, volume 22, issue 1, 2007, Pages 137~143
DOI : 10.4134/CKMS.2007.22.1.137
Abstract
In this paper, a Berstein-Hoeffding type inequality is established for linearly negative quadrant dependent random variables. A condition is given for almost sure convergence and the associated rate of convergence is specified.
15
CONVERGENCE OF APPROXIMATE SOLUTIONS TO SCALAR CONSERVATION LAWS BY DEGENERATE DIFFUSION
Hwang, Seok ;
Communications of the Korean Mathematical Society, volume 22, issue 1, 2007, Pages 145~155
DOI : 10.4134/CKMS.2007.22.1.145
Abstract
In this paper, we show the convergence of approximate solutions to the convective porous media equation using methodology developed in [8]. First, we obtain the approximate transport equation for the given convective porous media equation. Then using the averaging lemma, we obtain the convergence.