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The Pure and Applied Mathematics
Journal Basic Information
pISSN :
1226-0657
eISSN :
2287-6081
Journal DOI :
10.7468/jksmeb
Frequency :
Others
Publisher:
Korea Society of Mathematical Education
Editor in Chief :
Moon-Ja Jeong
Volume & Issues
Volume 5, Issue 2 - Nov 1998
Volume 5, Issue 1 - May 1998
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1
A NOTE ON QUASI-OPEN MAPS
Kim, Jae-Woon ;
The Pure and Applied Mathematics, volume 5, issue 1, 1998, Pages 1~3
Abstract
Let f : X longrightarrow Y be quasi-open. We show that: (1) If A
X is open, f│A is quasi-open, (2) f : X longrightarrow f(X) is quasi-open. (3) And let
, longrightarrow
be quasi-open. Then
longrightarrow
/ defined by {
} longrightarrow {
)}, is quasi-open. (4) Lastly, if
longrightarrow Y are quasi-open, i = 1,2, then F:
longrightarrow Y, defined by
,
, is also quasi-open.
2
SOME SUMMATION FORMULAS FOR THE SERIES
(1)
Kim, Yong-Sup ; Lee, Chang-Hyun ;
The Pure and Applied Mathematics, volume 5, issue 1, 1998, Pages 5~12
Abstract
We evaluate the sum of certain class of generalized hypergeometric series of unit argument. Summation formulas, contiguous to Watson's, Whipple's, Lavoie's and Choi's theorems in the theory of the generalized hypergeometric series, are obtained. Certain limiting cases of these results are given.
3
A NOTE ON MINIMAL SETS OF THE CIRCLE MAPS
Yang, Seung-Kab ; Min, Kyung-Jin ;
The Pure and Applied Mathematics, volume 5, issue 1, 1998, Pages 13~16
Abstract
For continuous maps f of the circle to itself, we show that (1) every
-limit point is recurrent (or almost periodic) if and only if every
-limit set is minimal, (2) every
-limit set is almost periodic, then every
-limit set contains only one minimal set.
4
OPERATORS ON GENERALIZED BLOCH SPACE
Choi, Ki-Seong ; Yang, Gye-Tak ;
The Pure and Applied Mathematics, volume 5, issue 1, 1998, Pages 17~21
Abstract
In [5], Zhu introduces a bounded operator T from
(D) into Bloch space B. In this paper, we will consider the generalized Bloch spaces
and find bounded operator from
(D) into
.
5
A RESULT OF DUALITY FOR BISHOP′S PROPERTY (
)
Yoo, Jong-Kwang ;
The Pure and Applied Mathematics, volume 5, issue 1, 1998, Pages 23~32
Abstract
In the present paper the author studies the decomposition property (
) of the bounded linear operators.
6
MULTIPLE POSITIVE SOLUTIONS FOR PSEUDO-LAPLACIAN EQUATION WITH CRITICAL EXPONENTS
Kim, Kwon-Wook ;
The Pure and Applied Mathematics, volume 5, issue 1, 1998, Pages 33~44
Abstract
This paper is concerned with the existence of mutiple positive solution of (equation omitted) with Dirichlet boundary condition.
7
UTI WARPED PRODUCT SPACE-TIME AND CAUSAL BOUNDARY OF UTI SPACE-TIME
Kim, Jin-Hwan ;
The Pure and Applied Mathematics, volume 5, issue 1, 1998, Pages 45~54
Abstract
We study the space-times that have a unique terminal indecomposable past set or a unique terminal indecomposable future set and examine their causal boundary, and we investigate some conditions for the warped product space-times of the form (a, b)
to have a unique terminal indecomposable past set or a unique terminal indecomposable future set.
8
HARMONIC GAUSS MAP AND HOPF FIBRATIONS
Han, Dong-Soong ; Lee, Eun-Hwi ;
The Pure and Applied Mathematics, volume 5, issue 1, 1998, Pages 55~63
Abstract
A Gauss map of m-dimensional distribution on a Riemannian manifold M is called a harmonic Gauss map if it is a harmonic map from the manifold into its Grassmann bundle
(TM) of m-dimensional tangent subspace. We calculate the tension field of the Gauss map of m-dimensional distribution and especially show that the Hopf fibrations on
are the harmonic Gauss map of 3-dimensional distribution.
9
A VERTEX PROPERTY OF REAL FUNCTION ALGEBRAS
Hwang, Sun-Wook ;
The Pure and Applied Mathematics, volume 5, issue 1, 1998, Pages 65~72
Abstract
We investigate a chain of properties of real function algebras along the analogous proofs of the complex cases such as the fact that any real function algebra which is both maximal and essential is pervasive. And some properties of real function algebras with a vertex property will be discussed.
10
INJECTIVE HYPERBOLICITY OF PRODUCT DOMAIN
Choi, Ki-Seong ;
The Pure and Applied Mathematics, volume 5, issue 1, 1998, Pages 73~78
Abstract
Let
(
, M) be the family of all 1-1 holomorphic mappings of the unit disk
into a complex manifold M. Following the method of Royden, Hahn introduces a new pseudo-differential metric
on M. The present paper is to study the product property of the metric
when M is given by the product of two domains
and
in the complex plane C, thus investigating the hyperbolicity of the product domain
with respect to
metric.
11
AN INTEGRAL FORMULA ON CONTACT CR-SUBMANIFOLDS OF AN ODD-DIMENSIONAL UNIT SPHERE
Kwon, Jung-Hwan ;
The Pure and Applied Mathematics, volume 5, issue 1, 1998, Pages 79~86
Abstract
In this paper, we study an (n ＋ 1)-dimensional compact, orientable, minimal contact CR-submanifold of (n - 1) ontact CR-dimension in a (2m ＋ 1)-dimensional unit sphere
in terms of integral formula.