• Title/Summary/Keyword: Unit Spaces

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ON DUALITY OF WEIGHTED BLOCH SPACES IN ℂn

  • Yang, Gye Tak;Choi, Ki Seong
    • Journal of the Chungcheong Mathematical Society
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    • v.23 no.3
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    • pp.523-534
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    • 2010
  • In this paper, we consider the weighted Bloch spaces ${\mathcal{B}}_q$(q > 0) on the open unit ball in ${\mathbb{C}}^n$. We prove a certain integral representation theorem that is used to determine the degree of growth of the functions in the space ${\mathcal{B}}_q$ for q > 0. This means that for each q > 0, the Banach dual of $L_a^1$ is ${\mathcal{B}}_q$ and the Banach dual of ${\mathcal{B}}_{q,0}$ is $L_a^1$ for each $q{\geq}1$.

DIMENSIONALLY INVARIANT SPACES

  • Baek, In Soo
    • Journal of the Chungcheong Mathematical Society
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    • v.22 no.2
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    • pp.245-250
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    • 2009
  • We consider a code function from the unit interval which has a generalized dyadic expansion into a coding space which has an associated ultra metric. The code function is not a bi-Lipschitz map but a dimension-preserving map in the sense that the Hausdorff and packing dimensions of any subset in the unit interval and its image under the code function coincide respectively.

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A Study on the Background and Architectural Characteristics of Unit-care System in Japan - Regarding with the New-Model of Welfare Facilities for Aged Japan - (일본 유니트케어의 도입배경과 건축적 특징에 관한 연구 - 일본 신형 특별양호노인홈의 사례를 중심으로 -)

  • Lee, Hyun-Jung;Min, Byung-Ho;Kwon, Soon-Jung
    • Korean Institute of Interior Design Journal
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    • v.16 no.3 s.62
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    • pp.93-101
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    • 2007
  • The purpose of this study is to propose our direction of long-tenn care facility for elderly. The long-tenn care insurance plays an important role for human well-being. The functional and architectural changes of Japanese elderly care facilities have been analysed in order to predict changes in Korean welfare facilities. In Japan, Unit-care and private rooms are essential elements after reforming welfare facilities for aged. This study proposes components of unit-care through the analysis of 20 facilities for the aged. A unit is basically consist of private rooms, rest room, public living area, kitchen, health care service station, and bath room. Besides, smoking room, tea room, public terrace, guest room, court yard, and so on can be added. A unit can be connected with other unit by semi-public spaces or can be independently organized. This relationship has been classified into 2 types; Open unit type and Separated unit type.

An Analysis of the Preferential Unit Planning Components of High-rise Residential Buildings Across Family Life Cycle Stages (가족생활주기별 아파트 단위주호 계획요소 선호분석)

  • Lee Yeunsook;Lee Hyunjeong;Lee Jeeyoung
    • Korean Institute of Interior Design Journal
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    • v.14 no.2 s.49
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    • pp.120-127
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    • 2005
  • The purpose of this study was to examine preferential unit planning components of high-rise residential buildings across family life cycle stages. The questionnaire survey was adopted in this study, and 110 cases were used for data analysis. Based on the age of the oldest child, the family life cycles used in the study were divided into four stages: early childhood, elementary school, adolescence, and adulthood. The findings showed that the preference of the unit planning components across the stages was distinct; families in the stage of early childhood and adolescence had the growing needs for spatial features, and regarded living-related features as important. Families in the stage of adulthood tended to have larger spaces. It was noticed that unit planning components needed to be more differential when the combined effect of both family life cycle stages and housing size was considered.

An Analysis of the Unit Plan Characteristics for the Apartments at Metropolitan Seoul Area in the Context of Space Syntax Model (아파트 단위주거 평면의 규모별 공간구성에 관한 기초 연구)

  • 이동원;오도엽
    • Korean Institute of Interior Design Journal
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    • v.13 no.1
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    • pp.81-88
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    • 2004
  • The purpose of this study is to analyze spatial configuration of the unit floor plan characteristics of the apartments built in Seoul Metropolitan area by using the Space Syntax methodology and finally to test the relationship between space in the unit floor plans. So the unit floor plans are analyzed using sector graphs from justified graph and computer programs based on the Space Syntax model and compared by size. The results are as follows; The sector graphs are summarized in 14 types. The total depth of spaces is not in proportion to the plan area. And the global and local integration and intelligibility are inversely proportional to the area. But in the case of largest areas(265$m^2$ and above), the integration and intelligibility increase.

An Comparison of Apartment Houses and Rural Houses in Characteristics of Unit Plans at Chonbuk Province (소양 문화마을 농촌주택과 전주 아파트 주거에 대한 평면 분석 연구 - 평면 특성의 비교를 중심으로 -)

  • Choi, Byung-Sook
    • Korean Journal of Human Ecology
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    • v.10 no.1
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    • pp.5-17
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    • 2007
  • The purpose of this study was to search out an relativeness to the apartment housing unit plans and the unit plans of rural houses. Unit plans data were collected from housing registration records or field survey methods. 45 rural plans and 53 apartment plans were analyzed. The results were as follows; First, the floor planning characteristics of rural houses were 'ㅋ'type of floor plan shape, 2.5 or 3 bay arrangement, L-DK type of social space, and the front entrance. Second, the floor planning characteristics of apartment houses were '-'type of floor plan shape, 2 bay arrangement, L...DK type of social space, and the side or rear entrance. Third, 3 bay arrangement method of rural houses effected to apartment houses, and L...DK type of apartment houses effected to rural houses. Utility or balcony spaces of rural houses was inversely effected from apartment houses.

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COMPOSITION OPERATORS ON 𝓠K-TYPE SPACES AND A NEW COMPACTNESS CRITERION FOR COMPOSITION OPERATORS ON 𝓠s SPACES

  • Rezaei, Shayesteh
    • Communications of the Korean Mathematical Society
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    • v.32 no.1
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    • pp.55-64
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    • 2017
  • For -2 < ${\alpha}$ < ${\infty}$ and 0 < p < ${\infty}$, the $\mathcal{Q}_K$-type space is the space of all analytic functions on the open unit disk ${\mathbb{D}}$ satisfying $$_{{\sup} \atop a{\in}{\mathbb{D}}}{\large \int_{\mathbb{D}}}{{\mid}f^{\prime}(z){\mid}}^p(1-{{\mid}z{\mid}^2})^{\alpha}K(g(z,a))dA(z)<{\infty}$$, where $g(z,a)=log\frac{1}{{\mid}{\sigma}_a(z){\mid}}$ is the Green's function on ${\mathbb{D}}$ and K : [0, ${\infty}$) [0, ${\infty}$), is a right-continuous and non-decreasing function. For 0 < s < ${\infty}$, the space $\mathcal{Q}_s$ consists of all analytic functions on ${\mathbb{D}}$ for which $$_{sup \atop a{\in}{\mathbb{D}}}{\large \int_{\mathbb{D}}}{{\mid}f^{\prime}(z){\mid}}^2(g(z,a))^sdA(z)<{\infty}$$. Boundedness and compactness of composition operators $C_{\varphi}$ acting on $\mathcal{Q}_K$-type spaces and $\mathcal{Q}_s$ spaces is characterized in terms of the norms of ${\varphi}^n$. Thus the author announces a solution to the problem raised by Wulan, Zheng and Zhou.

NORMAL, COHYPONORMAL AND NORMALOID WEIGHTED COMPOSITION OPERATORS ON THE HARDY AND WEIGHTED BERGMAN SPACES

  • Fatehi, Mahsa;Shaabani, Mahmood Haji
    • Journal of the Korean Mathematical Society
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    • v.54 no.2
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    • pp.599-612
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    • 2017
  • If ${\psi}$ is analytic on the open unit disk $\mathbb{D}$ and ${\varphi}$ is an analytic self-map of $\mathbb{D}$, the weighted composition operator $C_{{\psi},{\varphi}}$ is defined by $C_{{\psi},{\varphi}}f(z)={\psi}(z)f({\varphi}(z))$, when f is analytic on $\mathbb{D}$. In this paper, we study normal, cohyponormal, hyponormal and normaloid weighted composition operators on the Hardy and weighted Bergman spaces. First, for some weighted Hardy spaces $H^2({\beta})$, we prove that if $C_{{\psi},{\varphi}}$ is cohyponormal on $H^2({\beta})$, then ${\psi}$ never vanishes on $\mathbb{D}$ and ${\varphi}$ is univalent, when ${\psi}{\not\equiv}0$ and ${\varphi}$ is not a constant function. Moreover, for ${\psi}=K_a$, where |a| < 1, we investigate normal, cohyponormal and hyponormal weighted composition operators $C_{{\psi},{\varphi}}$. After that, for ${\varphi}$ which is a hyperbolic or parabolic automorphism, we characterize all normal weighted composition operators $C_{{\psi},{\varphi}}$, when ${\psi}{\not\equiv}0$ and ${\psi}$ is analytic on $\bar{\mathbb{D}}$. Finally, we find all normal weighted composition operators which are bounded below.

Satisfaction and Preference of Private and Shared Space of Student Housing for One Person Household - Focused on the University Students in Cheongju, Chungbuk - (대학생 1인가구 주거계획을 위한 단위세대와 공유공간의 만족도 및 선호도 조사 - 충북 청주 소재 대학교의 대학생 1인가구를 대상으로 -)

  • Kim, Mi-Kyoung;Jang, Eun-Hye
    • Korean Journal of Human Ecology
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    • v.20 no.5
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    • pp.1059-1074
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    • 2011
  • The purpose of this study is to provide a practical guide for planning the private and shared space of student housing for one person household by analyzing their satisfaction and preference. The data was collected through a questionnaire-survey from the students of the university in the city of Cheongju, Chungbuk. 191 samples were collected and analyzed by using SPSS-PC. The results are as follows: (1) this survey showed that most students are dissatisfied with private and shared spaces to narrow size, an unpleasant indoor environment, and incomplete facilities. (2) The most preferred housing type is an officetel in one room style because of its convenience. The majority of students preferred a bedroom, bathroom, kitchen and dining room in personal preferential order with a wide room, well-ventilated environment, and reasonable space zoning for planning the private space. Broad personal spaces with shared spaces such as a study room, cafeteria and health zone are in demand for unit planning. Therefore, to provide privacy for personal living and to develop community spirit, there needs to be a movement to better for community living by arranging optional shared spaces.

Content Analysis of the Planning Characteristics of Apartment Houses in Daejeon City (대전지역 공동주택의 분양 팜플렛에 나타난 계획 특성)

  • Park, Jung-A;Kang, In-Ho;Choi, Byung-Sook;Jung, Mi-Hyeon;Jang, Hye-Sun
    • Journal of the Korean housing association
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    • v.19 no.3
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    • pp.11-20
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    • 2008
  • The purpose of this study was to find out tendencies in the planning characteristics focused on the community, single building, shared spaces and interior concept of apartment houses in Daejeon City, and to analyze these characteristics according to apartment unit floor plan based upon the arrangement of room, the type of main entrance, the type of LDK, anbang, kitchen, bathroom and the 3rd space. This study used the content analysis method and analysis was made on drawings and descriptions showing planning characteristics of apartment houses. Above all, 34 cases of apartment houses and 159 unit plans were analyzed. The results of this study were as follows: 1) The most important characteristics of the direction of housing development was the "well-being" concept including greenzone and natural environment. The most mentioned community spaces were children's playgrounds and parks. The emphasized interior concepts were noble, well-being and natural concepts. 2) The most prominent front arrangement type was the 3-bay unit plan, front space arrangement was focused on rooms and, livingroom. The most prominent front space arrangement types were R/L/R, R/L/R/R and there is a new tendency towards KD/L/R/R. 3) The most prominent LDK floor plans were of the LDK type. The type of "Anbang" arrangement consisted mainly of room-bathroom-dressing room. The type of public bathroom arrangement consisted mainly of bathtub-toilet-washbasin and the "Anbang" bathroom arrangement was shower-booth-toilet-washbasin.