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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 21, Issue 4 - Oct 2006
Volume 21, Issue 3 - Jul 2006
Volume 21, Issue 2 - Apr 2006
Volume 21, Issue 1 - Jan 2006
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1
프랙탈과 다중프랙탈의 연구
Baek, In-Su ;
Communications of the Korean Mathematical Society, volume 21, issue 3, 2006, Pages 409~417
DOI : 10.4134/CKMS.2006.21.3.409
Abstract
2
A BMO TYPE CHARACTERIZATION OF WEIGHTED LIPSCHITZ FUNCTIONS IN TERMS OF THE BEREZIN TRANSFORM
Cho, Hong-Rae ; Seo, Yeoung-Tae ;
Communications of the Korean Mathematical Society, volume 21, issue 3, 2006, Pages 419~428
DOI : 10.4134/CKMS.2006.21.3.419
Abstract
The Berezin transform is the analogue of the Poisson transform in the Bergman spaces. Dyakonov characterize the holomorphic weighted Lipschitz function in the unit disk in terms of the Possion integral. In this paper, we characterize the harmonic weighted Lispchitz function in terms of the Berezin transform instead of the Poisson integral.
3
A NEW NON-MEASURABLE SET AS A VECTOR SPACE
Chung, Soon-Yeong ;
Communications of the Korean Mathematical Society, volume 21, issue 3, 2006, Pages 429~432
DOI : 10.4134/CKMS.2006.21.3.429
Abstract
We use Cauchy`s functional equation to construct a new non-measurable set which is a (vector) subspace of
and is of a codimensiion 1, considering
, the set of real numbers, as a vector space over a field
of rational numbers. Moreover, we show that
can be partitioned into a countable family of disjoint non-measurable subsets.
4
HYPONORMAL WEIGHTED SHIFT OPERATORS AND TRUNCATED COMPLEX MOMENT PROBLEMS
Li, Chung-Ji ;
Communications of the Korean Mathematical Society, volume 21, issue 3, 2006, Pages 433~449
DOI : 10.4134/CKMS.2006.21.3.433
Abstract
In this paper, we present some recent developments on hyponormal operator theory and truncated Curto-Fialkow and Embry complex moment problems.
5
SHARP WEIGHTED ESTIMATE FOR MULTILINEAR SINGULAR INTEGRAL OPERATOR
Lanzhe, Liu ;
Communications of the Korean Mathematical Society, volume 21, issue 3, 2006, Pages 451~464
DOI : 10.4134/CKMS.2006.21.3.451
Abstract
In this paper, a sharp inequality for some multilineal singular integral operators are obtained. As the applications, we get the weighted $L^p(p>1)$ norm inequalities and L log L type estimate for the multilinear operators.
6
WEIGHTED COMPOSITION OPERATORS BETWEEN BERGMAN-TYPE SPACES
Sharma, Ajay K. ; Sharma, Som Datt ;
Communications of the Korean Mathematical Society, volume 21, issue 3, 2006, Pages 465~474
DOI : 10.4134/CKMS.2006.21.3.465
Abstract
In this paper, we characterize the boundedness and compactness of weighted composition operators ${\psi}C_{\varphi}f
7
RELATIONS IN THE TAUTOLOGICAL RING BY LOCALIZATION
Sato, Fumitoshi ;
Communications of the Korean Mathematical Society, volume 21, issue 3, 2006, Pages 475~490
DOI : 10.4134/CKMS.2006.21.3.475
Abstract
We give a way to obtain formulas for
in terms
and
where ${\pi}
8
ON THE COMPACT RIEMANNIAN MANIFOLDS WITH SOME GEODESICAL PROPERTIES
Park, Kwang-Soon ;
Communications of the Korean Mathematical Society, volume 21, issue 3, 2006, Pages 491~496
DOI : 10.4134/CKMS.2006.21.3.491
Abstract
In the paper, we study an n-dimensional compact Riemannian manifold (M, g) with the property that the lengthes of the images
in M of any geodesic curves
are finite.
9
ON FUZZY BITOPOLOGICAL SPACES IN ŠOSTAK`S SENSE
Ramadan, A.A. ; Abbas, S.E. ; El-Latif, A.A. Abd ;
Communications of the Korean Mathematical Society, volume 21, issue 3, 2006, Pages 497~514
DOI : 10.4134/CKMS.2006.21.3.497
Abstract
In this paper, we used the supra fuzzy topology which generated from a fuzzy bitopological space [1] to introduce and study the concepts of continuity (resp. openness, closeness) of mapping, separation axioms and compactness for a fuzzy bitopological spaces. Our definition preserve much of the correspondence between concepts of fuzzy bitopological spaces and the associated fuzzy topological spaces.
10
VARIOUS INVERSE SHADOWING IN LINEAR DYNAMICAL SYSTEMS
Choi, Tae-Young ; Lee, Keon-Hee ;
Communications of the Korean Mathematical Society, volume 21, issue 3, 2006, Pages 515~526
DOI : 10.4134/CKMS.2006.21.3.515
Abstract
In this paper, we give a characterization of hyperbolic linear dynamical systems via the notions of various inverse shadowing. More precisely it is proved that for a linear dynamical system f(x)
11
REMARKS ON CENTERED-LINDELÖF SPACES
Song, Yan-Kui ;
Communications of the Korean Mathematical Society, volume 21, issue 3, 2006, Pages 527~532
DOI : 10.4134/CKMS.2006.21.3.527
Abstract
In this paper, we construct an example of a normal centered-Lindelof space X such that $St-l(X){\geq}{\omega}1\;under\;2^{\aleph_0}
12
IRREDUCIBILITY OF ARMA(p,q) PROCESS WITH MARKOV SWITCHING
Lee, Oe-Sook ;
Communications of the Korean Mathematical Society, volume 21, issue 3, 2006, Pages 533~541
DOI : 10.4134/CKMS.2006.21.3.533
Abstract
We consider a autoregressive moving average process of order p and q with Markov switching coefficients and find sufficient conditions for irreducibility of the process. Identifying small sets is also examined.
13
LARGE DEVIATION PRINCIPLE FOR SOLUTIONS TO SDE DRIVEN BY MARTINGALE MEASURE
Cho, Nhan-Sook ;
Communications of the Korean Mathematical Society, volume 21, issue 3, 2006, Pages 543~558
DOI : 10.4134/CKMS.2006.21.3.543
Abstract
We consider a type of large deviation Principle(LDP) using Freidlin-Wentzell exponential estimates for the solutions to perturbed stochastic differential equations(SDEs) driven by Martingale measure(Gaussian noise). We are using exponential tail estimates and exit probability of a diffusion process. Referring to Freidlin-Wentzell inequality, we want to show another approach to get LDP for the solutions to SDEs.
14
AN ALGORITHM FOR FINDING THE DISTANCE BETWEEN TWO ELLIPSES
Kim, Ik-Sung ;
Communications of the Korean Mathematical Society, volume 21, issue 3, 2006, Pages 559~567
DOI : 10.4134/CKMS.2006.21.3.559
Abstract
We are interested in the distance problem between two objects in three dimensional Euclidean space. There are many distance problems for various types of objects including line segments, boxes, polygons, circles, disks, etc. In this paper we present an iterative algorithm for finding the distance between two given ellipses. Numerical examples are given.
15
GENERALIZATIONS OF GAUSS`S SECOND SUMMATION THEOREM AND BAILEY`S FORMULA FOR THE SERIES
_{2}
F
_{1}
(1/2)
Rathie, Arjun K. ; Kim, Yong-Sup ; Choi, June-Sang ;
Communications of the Korean Mathematical Society, volume 21, issue 3, 2006, Pages 569~575
DOI : 10.4134/CKMS.2006.21.3.569
Abstract
We aim mainly at presenting two generalizations of the well-known Gauss`s second summation theorem and Bailey`s formula for the series
. An interesting transformation formula for
is obtained by combining our two main results. Relevant connections of some special cases of our main results with those given here or elsewhere are also pointed out.
16
ON THE PUBLIC KEY CRYPTOSYSTEMS OVER CLASS SEMIGROUPS OF IMAGINARY QUADRATIC NON-MAXIMAL ORDERS
Kim, Young-Tae ; Kim, Chang-Han ;
Communications of the Korean Mathematical Society, volume 21, issue 3, 2006, Pages 577~586
DOI : 10.4134/CKMS.2006.21.3.577
Abstract
In this paper we will propose the methods for finding the non-invertible ideals corresponding to non-primitive quadratic forms and clarify the structures of class SEMIGROUPS of imaginary quadratic orders which were given by Zanardo and Zannier [8], and we will give a general algorithm for calculating power of ideals/classes via the Dirichlet composition of quadratic forms which is applicable to cryptography in the class semigroup of imaginary quadratic non-maximal order and revisit the cryptosystem of Kim and Moon [5] using a Zanardo and Zannier [8]`s quantity as their secret key, in order to analyze Jacobson [7]`s revised cryptosystem based on the class semigroup which is an alternative of Kim and Moon [5]`s.鳭醜谂Á䰉ê뒀곬麐Ā夏1㔰⸱㠳⸱㌷⸲ㄵЂȂȌ蠀ʏ蘢ꠒꠑ ͧ[2004년 뽧툌ࡕꠑȆ᧽Ʈऀƞ[2004년도 한국비블리아학회 추계학술발표회]
17
INTUITIONISTIC FUZZY SUBSEMIGROUPS AND SUBGROUPS ASSOCIATED BY INTUITIONISTIC FUZZY GRAPHS
Jun, Young-Bae ;
Communications of the Korean Mathematical Society, volume 21, issue 3, 2006, Pages 587~593
DOI : 10.4134/CKMS.2006.21.3.587
Abstract
The notion of intuitionistic fuzzy graphs is introduced. We show how to associate an intuitionistic fuzzy sub(semi)group with an intuitionistic fuzzy graph in a natural way.