• Honam Mathematical Journal
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• v.37 no.4
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• pp.387-395
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• 2015

We investigate conditions under which a holomorphic self-map of the unit disk induces a bounded composition operator and study some properties of the composition operator from the Bloch-type spaces into a generalization of the Bloch-type spaces.

• East Asian mathematical journal
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• v.21 no.1
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• pp.123-135
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• 2005

We have extended the $H^p$ space and estabilished the derivative of inner functions, Blaschke product on weighted Hardy spaces for the unit disc in complex plane.

• KIEAE Journal
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• v.11 no.5
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• pp.55-67
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• 2011

The purpose of this research is to find applicable design characteristics and methods of communal spaces in vertical urban multi-family housing. With this goal, several overseas' multi-family housing projects are selected and their communal spaces are identified. The design characteristics of the communal spaces are analyzed with a special focus on the territories such as an individual unit boundary, building interior and exterior boundary. In terms of the framework for analysis, territoriality, openness, and unique characteristics are reviewed. As a result, the communal spaces are created using various spatial composition methods such as addition, subtraction, connection, extension, accumulation, and isolation. The communal space programs are integrated in plans and sections throughout the buildings. Visual openness and connection with surrounding urban environments are articulated by void spaces, transparent and translucent building materials, green spaces, and applications of graphical images. Communal identities and aesthetics are emphasized by unique building forms and space arrangements. The uses of finish materials, colors, objects, and images add strong characters to the communal spaces. For a further research, it is necessary to combine a design method study with residents' behaviors and community interactions.

• Proceedings of the Korean Institute of Interior Design Conference
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• 2004.11a
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• pp.80-83
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• 2004

It is impossible to do real verification on design spaces before their completions due to the characteristics of building and interior space designs. So, in designing spaces, designers should reflect their real experiences in their lives into their design works. 3D games where GPU and other kinds of advanced technologies have bee applied first show their leads in technologies have bee applied first show their leads in technologies about 5 years than VRML. Those games which are produced reflecting real environment as it is could be regarded as the most excellent tool in their completeness level of physical environment due to their characteristics. This means that if 3D game engines employing GPU are used effectively they could be used as a presentation tool for virtual spaces. This study studies the expressions of virtual constructions through 3D game engines employing GPU, not in VRML-based virtual spaces on Webs but in immersion-type virtual spaces.

• Communications of the Korean Mathematical Society
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• v.24 no.2
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• pp.187-195
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• 2009

We investigate the boundary values of the holomorphic mean Lipschitz function. In fact, we prove that the admissible limit exists at every boundary point of the unit ball for the holomorphic mean Lipschitz functions under some assumptions on the Lipschitz order. Moreover, we get embedding theorems of holomorphic mean Lipschitz spaces into Hardy spaces or into the Bloch space on the unit ball in $\mathbb{C}_n$.

• Bulletin of the Korean Mathematical Society
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• v.50 no.4
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• pp.1277-1288
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• 2013

Wulan and Zhu [16] have characterized the weighted Bergman space in the setting of the unit ball of $C^n$ in terms of Lipschitz type conditions in three different metrics. In this paper, we study characterizations of the harmonic Bergman space on the upper half-space in $R^n$. Furthermore, we extend harmonic analogues in the setting of the unit ball to the full range 0 < p < ${\infty}$. In addition, we provide the application of characterizations to showing the boundedness of a mapping defined by a difference quotient of harmonic function.

• Honam Mathematical Journal
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• v.46 no.1
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• pp.38-46
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• 2024

Let X, Y be Banach spaces, S_X and S_Y be the unit sphere of X and Y, respectively. Let f₀ : S_X → S_Y be ε-isometry for some ε ≥ 0. In this paper, we show that there is an extension f : X → Y of f₀ such that f is linear.

• Journal of the Korean Mathematical Society
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• v.51 no.1
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• pp.125-135
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• 2014

We study the compact intertwining relations for composition operators, whose intertwining operators are Volterra type operators from the weighted Bergman spaces to the weighted Bloch spaces in the unit disk. As consequences, we find a new connection between the weighted Bergman spaces and little weighted Bloch spaces through this relations.

• Journal of the Korean housing association
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• v.17 no.5
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• pp.147-157
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• 2006

A study on Composing Unit Spaces of Apartment Houses according to the Differentiation in Lifestyle by survey on preferences. The purpose of this study is to propose composition models of unit spaces for 85m2 net area apartment houses by lifestyle types. This study set up a hypothesis that there is a critical divergence of preferences in composition types of unit spaces according to lifestyle. To prove the hypothesis, investigation on variable floor plans of apartments to extract spatial composition types of units and questionnaire survey on lifestyleand preferences for composition types were implemented. To extract several factors regarding, characteristics of lifestyle, factor analysis, was implemented for each variable. Cluster analysis was conducted to cluster interviewees by similarity of lifestyle. To identify and define how each factor reacts, ANOVA and cross tabulation analysis between factors and clusters were used. The type of spatial composition was analyzed by plane characteristic, spatial relation and spatial usability on the basis of apartment plate type. As a result, lifestyle was divided into three types: reasonable lifestyle, trend-seeking lifestyle and conservative lifestyle. As, the result of investigating characteristics for the type of spatial composition according to the type of lifestyle, preferred types and main districts were different. Therefore, the hypothesis was proved.

• East Asian mathematical journal
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• v.31 no.1
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• pp.55-63
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• 2015

Let $\mathbb{B}$ be the unit ball in $\mathbb{C}^n$. For a weight function ${\omega}$, we define the generalized growth space $A^{\omega}(\mathbb{B})$ by the space of holomorphic functions f on $\mathbb{B}$ such that $${\mid}f(z){\mid}{\leq}C{\omega}({\mid}{\rho}(z){\mid},\;z{\in}\mathbb{B}$$. Our main purpose in this note is to get the corona type decomposition in generalized growth spaces on $\mathbb{B}$.