• Korean Journal of Mathematics
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• v.11 no.1
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• pp.17-30
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• 2003

In this paper, we use a generalized Brownian motion process to define a translation theorem. First we establish the translation theorem for function space integrals. We then obtain the general translation theorem for functionals on function space.

• Journal of Korean Society of Transportation
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• v.5 no.1
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• pp.75-83
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• 1987

The modernistic rationalism which thinks much of the mathematical rationality and economic efficiency is widely spread in Korea economic planning, urban planning, urban transportation planning, and the like. As a result the demands to humanity, amanity, and so on have been disregarded in the name of rationality in urban spatial organization, the typical examples, one of the pedestrian space. The pedestrian space which is passed over easily from the view point of the modernistic rationalism, is actually the space that should be reflected abundantly in urban space. The author emphasized a need of reconsideration on the position of pedestrian space in urban spatial planning process, and adopted the theoretical research on the functions and roles of pedestrian space. In consequence of this study the functions of pedestrian space are considered : the first, the function as a space for moving, the second, the function as a space for buffer. the third, the function as a space for intermediation. the fourth, the function as a space for urban daily life. the fifth, the function as new urban environment-making factor.

• Journal of the Chungcheong Mathematical Society
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• v.24 no.3
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• pp.533-541
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• 2011

Let ${\omega}$ be a normal function. In this paper, we will extend the concept of Bloch space to Bloch-type space related with normal function ${\omega}$. We will investigate the properties of Bloch-type space ${\mathcal{B}}_{\omega}$ and the little Bloch-type space ${\mathcal{B}}_{{\omega},0}$ with weight ${\omega}$.

• The Journal of Information Technology
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• v.12 no.3
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• pp.25-48
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• 2009

1. CONTENTS 1) RESEARCH OBJECTIVES The purpose of the study was to propose a future oriented urban space production strategy to offer diverse useful services to citizens to improve international competitiveness of cities in the times of competition that competitive subjects were changed from competition among countries to competition among cities. 2) RESEARCH METHOD In the proposed future-oriented urban space production strategy, the study compared/analyzed main plans related to development of urban space by selecting CBD(Jung-gu) of Busan out of local metropolises in South Korea. 3) RESEARCH FINDINGS In the proposed future-oriented urban space production strategy, the study largely sorted city's function into four scopes function of industrial support, function of social support, function of living support and function of urban infrastructure. 2. RESULTS It is expected that the proposed future oriented urban space production strategy will be utilized as a useful reference model when a lot of local governments, planning a ubiquitous urban space, establish a plan for constructing a ubiquitous urban space.

• Journal of the Korean Mathematical Society
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• v.46 no.4
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• pp.841-857
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• 2009

In this paper, we give and study the notion of computer topological function space between computer topological spaces with $k_i$ adjacency, i $\in$ {0, 1}. Using this notion, we study various properties of topologies of a computer topological function space.

• Journal of the Korean Institute of Rural Architecture
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• v.14 no.4
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• pp.37-45
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• 2012

The villages in island were established overcoming natural environment through Shamanism and changed by developing various industrials like transportation. Gapa Island located in southern part of Jejudo is flat topography different from the other islands. The purpose of this study is to clarify characteristics on transformation of community space in Gapa Island. For purpose, community spaces in Gapa Island are researched such as establishment, function, change, and use of community space. Spatial components in Gapa Island are like as spaces in faith, residential area, area for production, commercial zone, community space, education facilities, public offices, port, and roads. The methods of this study are literature research and interview survey for residents in Gapa Island. The results are as followings: First, community space is in charge about social, industrial, and religious function. Second, for traditional spaces separated for male and female, demarcation of space does not exist in industrial side but the demarcation has still been exist in religious side. Finally, by development of tourism new community space has been charge in festival function as well as function of space like agora for meeting with people freely, which is relatively various in function of community space in social side. Role of the dock for ship, main transportation of island, is being increasing as square.

• Bulletin of the Korean Mathematical Society
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• v.37 no.4
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• pp.791-802
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• 2000

In 1968, Cameron and Storvick introduce the definition and the theories of the operator-valued function space integral. Since then, the stability theorems of the integral was developed by Johnson, Skoug, Chang etc [1, 2, 4, 5]. Recently, the authors establish the existence theorem of the operator-valued function space [8]. In this paper, we will prove the stability theorems of the operator-valued function space integral over paths in abstract Wiener space $C_0(B)$.

• Communications of the Korean Mathematical Society
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• v.12 no.2
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• pp.293-303
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• 1997

The existence theorem for the operator valued function space integral has been studied, when the wave function was in $L_1(R)$ class and the potential energy function was represented as a double integra [4]. Johnson and Lapidus established the existence theorem for the operator valued function space integral, when the wave function was in $L_2(R)$ class and the potential energy function was represented as an integral involving a Borel measure [9]. In this paper, we establish the existence theorem for the operator valued function we establish the existence theorem for the operator valued function space integral as an operator from $L_1(R)$ to $L_\infty(R)$ for certain potential energy functions which involve double integrals with some Borel measures.

• Korean Institute of Interior Design Journal
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• v.15 no.4 s.57
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• pp.37-45
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• 2006

The purpose of this study is to stand assembly the meaning and function of entry space with analysing their social and cultural characteristic. The entry space is the linkable place between inner space and out space, and that is the transition place to be experienced two opposing characteristic. Till now the entry space has not taken effect as symbol needed to the resident and observer, and that has been a tendency to shrink as the minimal sign of entrance. So thus, it is in need of studying the entry space's specific and characterizing structurally as expanded function. For the purpose, this study define newly the meaning, function and composition of entry space in an apartment building, and try to find how to reinforce a resident identity. This study propose justification that the entry space isn't boxing space minimally but enforcing symbol presented clearness of composition and vital character.

• Journal of the Korean Mathematical Society
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• v.40 no.1
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• pp.73-86
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• 2003

In this paper, we define a generalized sequential operator-valued function space integral by using a generalized Wiener measure. It is an extention of the sequential operator-valued function space integral introduced by Cameron and Storvick. We prove the existence of this integral for functionals which involve some product Borel measures.