• Bulletin of the Korean Mathematical Society
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• v.47 no.6
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• pp.1171-1180
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• 2010

In this paper we obtain some new characterizations for weighted Bergman spaces in the unit ball of $\mathbb{C}^n$.

• Journal of the Architectural Institute of Korea Planning & Design
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• v.34 no.9
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• pp.9-20
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• 2018

There are many large and small spaces in the interior of the building, and these spaces are arranged and connected to form a systematic spatial structure. A structure is a collection of several parts to form a whole. In other words, the spatial structure in architecture can be seen as a whole organized and organized as individual unit spaces are gathered together. Therefore, in order to understand the spatial structure, we first need to define the unit spaces that form part, how they are interconnected and arranged, and then understand how and how these unit spaces are organized to form a whole. The main purpose of this study is to study the structural system of space based on the shape information of space on architectural plane. This means interpreting the process and method of how the unit spaces defined as a certain shape on the architectural plane are organized step by step, integrated into a higher level, and eventually integrated into one whole. In this paper, the shape and layout of the unit space are identified in the architectural plan, the connection relation is defined, and expressed in the network form. And suggests a new methodology for interpreting the organizational process in which the following spaces are integrated as a whole. This new methodology is based on human perceptual characteristics. When people recognize an object, they recognize the object partly and completely. We want to explain the relationship between parts of space and the whole according to their characteristics.

• Journal of the Korean Institute of Educational Facilities
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• v.11 no.5
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• pp.24-34
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• 2004

The purpose of this study is to analyze the planning characteristics of contemporary Japanese elementary schools. Fifteen schools, that have new planning trends or design ideas have been selected and analyzed. The planning characteristics of schools identified by plan analyses are summarized as follows. First, space programs of schools are diverse, especially in support facilities, gymnasiums and auditoriums. These spaces can be used by community members. So it is assumed that needs of communities are reflected in space programs of schools. Second, various types of unit learning spaces consisting of multipurpose spaces and classrooms embodied in case schools tell the differentiation in the structure of unit learning spaces. Third, grouped with gymnasiums or auditoriums, special instructional spaces constitute community zones where school facilities are open to public. Fourth, replacing the monotonous circulation systems by corridors, multipurpose hall-type space organization systems make surrounding spaces more activated and complex and the multipurpose hall itself becomes the central part of schools. Finally, outdoor spaces are designed to have convenient access and approach zones to school precincts are linked with city street.

• Journal of the Korean housing association
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• v.23 no.4
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• pp.41-48
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• 2012

The purpose of the study, approaching from the aspect of the construction technologies, is to determine the architectural techniques of traditional wood architects in existence, through which the systems and techniques that create the inherent characteristics of Korean Architecture are clarified. With understanding traditional construction system and focusing on the fact that built environment results from the consistent standards and technologies of architects, this study inquires into the systematic standard and its formation that present in the process of planning for the overall scale and shape of a building from the following (four) perspectives. The study determines the characteristics of '間(Kan)' (unit; fundamental unit that measures Korean traditional houses) and the methods of columns disposition of which the '間 (Kan)' is made up. Once the necessary spaces are decided according to the size of a building, then floor plans are drawn with the standard unit, '間(Kan)'. The '間(Kan)', as a modular unit, is not only composing the floor plans, but also functioning as an Area unit, Space unit and Structural unit. Composition of '間(Kan)' varies with disposition of columns, and therefore multiform of floor and spaces are created. In this study, the '間(Kan)', as a standard unit, is used in the form of specific size and area, and it is demonstrated how the floor plans are developed by organizing the columns in accordance with the spaces requested.

• Journal of the Korean Mathematical Society
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• v.42 no.1
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• pp.111-127
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• 2005

Let B and S be the unit ball and the unit sphere in $\mathbb{C}^n$, respectively. Let ${\sigma}$ be the normalized Lebesgue measure on S. Define the Privalov spaces $N^P(B)\;(1\;<\;p\;<\;{\infty})$ by $$N^P(B)\;=\;\{\;f\;{\in}\;H(B) : \sup_{0 where H(B) is the space of all holomorphic functions in B. Let ${\varphi}$ be a holomorphic self-map of B. Let ${\mu}$ denote the pull-back measure ${\sigma}o({\varphi}^{\ast})^{-1}$. In this paper, we prove that the composition operator $C_{\varphi}$ is metrically bounded on $N^P$(B) if and only if ${\mu}(S(\zeta,\delta)){\le}C{\delta}^n$ for some constant C and $C_{\varphi}$ is metrically compact on $N^P(B)$ if and only if ${\mu}(S(\zeta,\delta))=o({\delta}^n)$ as ${\delta}\;{\downarrow}\;0$ uniformly in ${\zeta}\;\in\;S. Our results are an analogous results for Mac Cluer's Carleson-measure criterion for the boundedness or compactness of $C_{\varphi}$ on the Hardy spaces $H^P(B)$.

• Proceedings of the SAREK Conference
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• 2009.06a
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• pp.108-113
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• 2009

Buildings with multi-complex spaces designed for architectural values and functional requirements give rise to technical challenges in terms of energy efficiency and thermal comfort. Since spaces in such buildings are connected with openings with geometrical complexity, it is hard to define zoning plan and to control heating/cooling loads effectively. This paper presents a case study on the evaluation of operation strategy for a building with multi-complex spaces using computer simulation. The modelling methodology and the results of the simulations are also described.

• Proceedings of the Korean Institute of Interior Design Conference
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• 2007.05a
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• pp.49-52
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• 2007

The purpose of this study was to investigate unit care characteristics of large skilled nursing facilities for the elderly, which are located in city areas, and to discuss the way of encouraging home-like atmosphere in perspective of spatial unit. First of all, the analysis of five facilities opened before 2002 was performed, based on previous studies, to compare with them opened in recent 5 years. Most of the previous facilities did not have differentiation between their residential and nursing units, and the number of residents in each unit were excessive in comparison with the standard limit(12-28). On the contrary, the facilities established in recent 5 years had systematic spatial unit structure. The residential units had basically rooms and spaces for small group and the number of elderly residents per unit was appropriate on the basis of standard limit which was suggested by Kwon(2002). The nursing units were consist of nursing station, 2-3 residential units, spaces for large group of residents, hair dressing, nurse, living assistant, bathing, storage and etc. But, there was a problem In space usage even though they have distinct unit care systems. Some spaces for groups were empty without residents, furniture, and other equipments, which were necessary for unit care.

• Korean Journal of Mathematics
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• v.24 no.3
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• pp.397-407
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• 2016

In this paper, the concepts of k-smoothness, k-very smoothness and k-strongly smoothness of Banach spaces are dealt with together briefly by introducing three types k-denting point regarding different topology of conjugate spaces of Banach spaces. In addition, the characterization of first type ${\omega}^*-k$ denting point is described by using the slice of closed unit ball of conjugate spaces.

• Communications of the Korean Mathematical Society
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• v.12 no.4
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• pp.905-909
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• 1997

A characterization of Hilbert spaces is given in terms of four boundary points and two interior points of the unit sphere.

• Communications of the Korean Mathematical Society
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• v.34 no.3
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• pp.771-782
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• 2019

We show that mappings preserving unit distance are close to two-isometries. We also prove that a mapping f is a linear isometry up to translation when f is a two-expansive surjective mapping preserving unit distance. Then we apply these results to consider two-isometries between normed spaces, strictly convex normed spaces and unital $C^*$-algebras. Finally, we propose some remarks and problems about generalized two-isometries on Banach spaces.