• Title/Summary/Keyword: Unit Spaces

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A BMO TYPE CHARACTERIZATION OF WEIGHTED LIPSCHITZ FUNCTIONS IN TERMS OF THE BEREZIN TRANSFORM

  • Cho, Hong-Rae;Seo, Yeoung-Tae
    • Communications of the Korean Mathematical Society
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    • v.21 no.3
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    • pp.419-428
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    • 2006
  • The Berezin transform is the analogue of the Poisson transform in the Bergman spaces. Dyakonov characterize the holomorphic weighted Lipschitz function in the unit disk in terms of the Possion integral. In this paper, we characterize the harmonic weighted Lispchitz function in terms of the Berezin transform instead of the Poisson integral.

JOINT SPATIAL NUMERICAL RANGES OF OPERATORS ON BANACH SPACES

  • Yang, Youngoh
    • Bulletin of the Korean Mathematical Society
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    • v.26 no.2
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    • pp.119-126
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    • 1989
  • Throughout this paper, X will always denote a Banach space over the complex numbers C, and L(X) will denote the Banach algebra of all continuous linear operators on X. Operator will always mean continuous linear operator. An n-tuple of operators T$_{1}$,..,T$_{n}$ on X will be denoted by over ^ T=(T$_{1}$,..,T$_{n}$ ). Let L$^{n}$ (X) be the set of all n-tuples of operators on X. X' will denote the dual space of X, S(X) its unit sphere and .PI.(X) the subset of X*X' defined by .PI.(X)={(x,f).mem.X*X': ∥x∥=∥f∥=f(x)=1}.

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THE ATOMIC DECOMPOSITION OF HARMONIC BERGMAN FUNCTIONS, DUALITIES AND TOEPLITZ OPERATORS

  • Lee, Young-Joo
    • Bulletin of the Korean Mathematical Society
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    • v.46 no.2
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    • pp.263-279
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    • 2009
  • On the setting of the unit ball of ${\mathbb{R}}^n$, we consider a Banach space of harmonic functions motivated by the atomic decomposition in the sense of Coifman and Rochberg [5]. First we identify its dual (resp. predual) space with certain harmonic function space of (resp. vanishing) logarithmic growth. Then we describe these spaces in terms of boundedness and compactness of certain Toeplitz operators.

SOME APPLICATIONS FOR GENERALIZED FRACTIONAL OPERATORS IN ANALYTIC FUNCTIONS SPACES

  • Kilicman, Adem;Abdulnaby, Zainab E.
    • Korean Journal of Mathematics
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    • v.27 no.3
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    • pp.581-594
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    • 2019
  • In this study a new generalization for operators of two parameters type of fractional in the unit disk is proposed. The fractional operators in this generalization are in the Srivastava-Owa sense. Concerning with the related applications, the generalized Gauss hypergeometric function is introduced. Further, some boundedness properties on Bloch space are also discussed.

A Study for F.L. Wright's Space Pattern by Grid Planning -Focusing on Prairie and Usonian Houses- (그리드 프래닝에 의한 F.L 라이트의 공간패턴에 관한 연구 -프래리와 유소니언 주택을 중심으로-)

  • 전영미
    • Korean Institute of Interior Design Journal
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    • no.17
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    • pp.181-186
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    • 1998
  • Grid serves as an auxiliary instrument that explains design logically and objectively when you designing an interior. But grid is unacceptable to the space which is produced by designer who wants to express a design subjectively. Because grid makes usual and standardized space without flexibility. Changing and developing a fundamental unit with modern touch is going to be a way compensate for the weakpoint Also versatile grid unit can support the designer's subjective intention. This study focuses on the limits of Wright's house which show interior space aestheically through grid planing. In this paper Wright's uniqe interior space pattern will be examined through the selection of some of his works specifically the Prairies and Usonians whose transforming is noticable as Wright house and analysis about formation process of grid planning characteristics and spaces is continued. With all this analysis I'm, going to look over Wright's philosophy and pattern that is usually intended by his grid planning.

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A CHARACTERIZATION OF HYPERBOLIC SPACES

  • Kim, Dong-Soo;Kim, Young Ho;Lee, Jae Won
    • Bulletin of the Korean Mathematical Society
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    • v.55 no.4
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    • pp.1103-1107
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    • 2018
  • Let M be a complete spacelike hypersurface in the (n + 1)-dimensional Minkowski space ${\mathbb{L}}^{n+1}$. Suppose that every unit speed curve X(s) on M satisfies ${\langle}X^{\prime\prime}(s),X^{\prime\prime}s){\rangle}{\geq}-1/r^2$ and there exists a point $p{\in}M$ such that for every unit speed geodesic X(s) of M through the point p, ${\langle}X^{\prime\prime}(s),X^{\prime\prime}s){\rangle}=-1/r^2$ holds. Then, we show that up to isometries of ${\mathbb{L}}^{n+1}$, M is the hyperbolic space $H^n(r)$.

KAIST ARM의 고속동작제어를 위한 하드웨어 좌표변환기의 개발

  • 박서욱;오준호
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1992.04a
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    • pp.127-132
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    • 1992
  • To relize the future intelligent robot the development of a special-purpose processor for a coordinate transformation is evidently challenging task. In this case the complexity of a hardware architecture strongly depends on the adopted algorithm. In this paper we have used an inverse kinemetics algorithm based on incremental unit computation method. This method considers the 3-axis articulated robot as the combination of two types of a 2-axis robot: polar robot and 2-axis planar articulated one. For each robot incremental units in the joint and Cartesian spaces are defined. With this approach the calculation of the inverse Jacobian matrix can be realized through a simple combinational logic gate. Futhermore, the incremental computation of the DDA integrator can be used to solve the direct kinematics. We have also designed a hardware architecture to implement the proposed algorithm. The architecture consists of serveral simple unitsl. The operative unit comprises several basic operators and simple data path with a small bit-length. The hardware architecture is realized byusing the EPLD. For the straight-line motion of the KAIST arm we have obtained maximum end effector's speed of 12.6 m/sec by adopting system clock of 8 MHz.

A Study on the Shape-Determination for Tensegrity Unit-Structures (텐세그러티 단위 구조의 형상 결정에 관한 연구)

  • Ko, Kwang-Ung;Kwun, Ik-No;Kwun, Taek-Jin
    • Journal of Korean Association for Spatial Structures
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    • v.2 no.2 s.4
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    • pp.69-76
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    • 2002
  • The basic systems of spatial structures such as shells, membranes, cable-nets and tensegrity structures have been developed to create the large spaces without column. But there are some difficulties concerning structural stability, surface formation and construction method. Tensegrity systems are flexible structures which are reticulated spatial structures composed of compressive members and cables. The rigidification of tensegrity systems is related to selfstress states which can be achieved only when geometrical and mechanical requirements are simultaneously satisfied. In this paper, the force density method allowing form-finding for tensegrity systems is presented. And various modules of unit-structures are investigated and discussed using the force density method. Also, a model of double-layered single curvature arch with quadruplex using supplementary cable is presented.

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A Study on the Architectural Planning of Corridor Space in Nursing Homes for the Elderly with Dementia (치매노인전문요양시설의 복도공간에 관한 건축계획적 연구)

  • Han, Kyun;Kwon, Soon-Jung
    • Journal of The Korea Institute of Healthcare Architecture
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    • v.11 no.1
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    • pp.69-77
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    • 2005
  • The purpose of this study is to build fundamental data related to corridor space for nursing home design. Elderly with dementia were observed in corridor space at two nursing homes in In-cheon City. Two types of behavior were found out through in-depth observation; Group and Personal behaviors. Group behaviors were varying according to the type of programs such as rest, care, diet, and therapeutic services. Personal behaviors could be classified into wandering and private seclusion. These two behaviors were influenced by management programs of facilities, services of care-givers and individual characteristics of residents. The result of this study was discussed on the following matters: 1) Optimum size of residential unit; 2) Working spaces of care-givers; 3) Relationship between bedroom and common space for gathering; 4) Planning for wandering path; 5) Familiarity of interior finishing materials

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