• Title/Summary/Keyword: Space Composition Type

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

  • Rezaei, Shayesteh
    • 대한수학회논문집
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    • 제32권1호
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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.

학교부지 내 교사 배치와 학급교실의 조합구성에 관한 연구 - 얼바인 초등학교 사례분석을 중심으로 - (A Study on Layout and Composition of Classrooms on Campus - Focus on Case Analysis of Irvine Elementary Schools -)

  • 최진희;박열
    • 교육시설 논문지
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    • 제26권5호
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    • pp.17-23
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    • 2019
  • The classroom is a learning space where students live mainly in school, and it is the most important space within the entire educational space of the school. Although our educational system has been trying to revise and change the curriculum many times, it still does not provide space for the educational concept of modern society. The impact of the abolished 'school facility standard design' in 1992 is still evident in the design of school facilities at present. Specifically, the uniformity of the educational space, the rigid boundary of the classroom unit, the blockage between the school facility and the outside, and the separation due to the break of the inner and outer spaces. In the future, we need a flexible space that can contain the contents of the future education, and it is necessary to study the composition and type of educational space that can escape uniformity and spatial breakdown. In this paper, we analyze the successful cases of Irvine school facilities and examine the type and composition of classroom space, and it will be a task to find the direction and change of thinking about our educational space.

도심형 병원의 치유환경조성을 위한 건축공간구성의 현황 및 원리에 관한 연구 - 병동과 공용공간을 중심으로 - (A Study on the Present State and Principles of Architectural Composition for the Healing Environment of the Urban Type Hospital - focused on spatial composition of the ward and public space -)

  • 유진아;이정만
    • 한국실내디자인학회:학술대회논문집
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    • 한국실내디자인학회 2005년도 춘계학술발표대회 논문집
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    • pp.196-202
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    • 2005
  • Recently, hospital architecture has acknowledged remedial value of environment and atmosphere, which consider patient's statement of physical, spiritual, psychological and social focus, escape from the past focus of functional and rational space composition. The many research of hospital architecture just analyze elements of architectural planing which focus how to make a healing environment for patients. The purpose of this study is to abstract the design principle of architectural space composition for healing environment significance, through case study which follow up space composition. To abstract healing environment significance by space composition, each case study hospitals should be analyzed and estimated on the spatial composition elements. It is to provide the basic data for effective architectural planning of the hospital.

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NORMAL COMPLEX SYMMETRIC WEIGHTED COMPOSITION OPERATORS ON THE HARDY SPACE

  • Zhou, Hang;Zhou, Ze-Hua
    • 대한수학회지
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    • 제58권4호
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    • pp.799-817
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    • 2021
  • In this paper, we investigate the normal and complex symmetric weighted composition operators W𝜓,𝜑 on the Hardy space H2(𝔻). Firstly, we give the explicit conditions of weighted composition operators to be normal and complex symmetric with respect to conjugations 𝒞1 and 𝒞2 on H2(𝔻), respectively. Moreover, we particularly investigate the weighted composition operators W𝜓,𝜑 on H2(𝔻) which are normal and complex symmetric with respect to conjugations 𝓙, 𝒞1 and 𝒞2, respectively, when 𝜑 has an interior fixed point, 𝜑 is of hyperbolic type or parabolic type.

COMPACT INTERTWINING RELATIONS FOR COMPOSITION OPERATORS BETWEEN THE WEIGHTED BERGMAN SPACES AND THE WEIGHTED BLOCH SPACES

  • Tong, Ce-Zhong;Zhou, Ze-Hua
    • 대한수학회지
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    • 제51권1호
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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.

미술관 전시벽 구성과 시각적 공간구조의 상관성에 관한 연구 - 개실형 미술관을 중심으로 - (A Study on the Relationship between the Museum Display Wall Composition and the Visual Spatial Configuration - Focusing on the room to room art museum -)

  • 이종숙;임채진
    • 한국실내디자인학회논문집
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    • 제16권5호
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    • pp.63-70
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    • 2007
  • A relationship between the museum display wall composition and the visual spatial configuration is investigated in this study. From the previous research, existing types are classified in order to define the exhibition space of room to room. Based on the classification, an open room to room of art museum is defined as a room to room of museum, and the plane of museums is investigated. With the museums under this study, the wall of a room to room exhibition space as well as the visual spatial configuration are analyzed depending on the location of an opening, centering on the composition of unit space. In addition, two types of spatial composition are compared depending on the location of the opening. One type of spatial composition is lied on a straight line with visual continuity, and the visual line is found to be simple. Whereas, the other type has an invisible configuration between spaces due to a criss-crossed opening, so the space is perceived to be closed and disconnected. When comparing these two types, the advantage and disadvantage of each space are compared. As a result, a similar type and size of unit space are derived. In addition, the ratio of the opening compared to the total wall was found to be uniform, and a distribution of the opening and walls were found.

전문대학도서관의 공간구성 특성에 따른 이용만족도 연구 (A study on user Satisfaction of the Junior College Library based on its Characteristics of Space Composition)

  • 이수영
    • 교육시설 논문지
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    • 제24권6호
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    • pp.37-44
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    • 2017
  • This study is about user satisfaction of the Junior College Library based on its characteristics of space composition. For this, we studied characteristics of space composition targeting the libraries in colleges in Seoul and Gyeonggi-do. First, in case of study of characteristics of space composition for books and library data, student satisfaction for traditional and normal library areas was high. It means that the service based on library areas should start from normal library areas as well as there is a change about space as the type of data in libraries change to electric data and multimedia. Second, If we look at the space for a reader and a user, satisfaction for a normal reading room was high. we can also see that satisfaction for a computer room and a multimedia reading room was not higher but still high. Also, the reason why satisfaction for a multimedia reading room that provides various activities was high was that the complex of a library space is needed to provide users with various activities. Third, in case of space for programme function and meeting, satisfaction for the room of video information and the group study room was high. we can see that user satisfaction for the space got high basically when a user is satisfied with the proper information technology based on interaction Fourth, as a result of variance analysis of 3 spaces of Junior College Library and the services, the size of the space of service does not influence user satisfaction directly. Even the space is small, if it decorates variously like with a lighting for a user, a window seat to meet the nature of users and has specific factors such as space reservation using internet, user satisfaction is high. If we summarise the result of this study, to make user satisfaction for speace in a Junior College Library higher, not just we need to try to make it extend as a educational, a cultural place but we also need to accept the student's requirement that the space also needs to be extend as a complex cultural space.

GENERALIZED WEIGHTED COMPOSITION OPERATORS FROM AREA NEVANLINNA SPACES TO WEIGHTED-TYPE SPACES

  • Weifeng, Yang;Weiren, Yan
    • 대한수학회보
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    • 제48권6호
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    • pp.1195-1205
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    • 2011
  • Let $H(\mathbb{D})$ denote the class of all analytic functions on the open unit disk $\mathbb{D}$ of the complex plane $\mathbb{C}$. Let n be a nonnegative integer, ${\varphi}$ be an analytic self-map of $\mathbb{D}$ and $u{\in}H(\mathbb{D})$. The generalized weighted composition operator is defined by $$D_{{\varphi},u}^nf=uf^{(n)}{\circ}{\varphi},\;f{\in}H(\mathbb{D})$$. The boundedness and compactness of the generalized weighted composition operator from area Nevanlinna spaces to weighted-type spaces and little weighted-type spaces are characterized in this paper.

미국 노인주거시설의 공간구성 특성에 대한 연구』 -캘리포니아 지역을 중심으로- (A Study on the Spatial Composition Characteristics of Elderly Housing Facilities in USA -focused on California area-)

  • 오혜경;홍이경;박민진
    • 가정과삶의질연구
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    • 제21권6호
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    • pp.107-115
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    • 2003
  • The purpose of this study was to Investigate the spatial composition characteristics of elderly housing facilities in USA, in order to refer them in establishing the basic plan for elderly housing in Korea. The case study performed in this study from July 23 to July 31 is based on ten housing facilities for the elderly located at California in USA. The results of this study were as follows; 1. The type of floor plan was classified into the U type, ㅁ type, L type, and ㅡ type. And they had an outside space called a garden(courtyard). 2. The kinds of common spaces could be grouped as the space for basic living, for leisure, and for convenient living. Also it was all common that the housing facility had shared livingroom, shared diningroom, activity room and garden. The type of the common spaces was categorized into two types, the centralized type where the shared space was located at the center of the housing facilities, and the distributed type, depending on the degree of separation between common spaces and units. ,3. The kinds of units was classified into studio, oneroom, one bedroom and two bedroom.