• 제목/요약/키워드: unit ball

검색결과 201건 처리시간 0.025초

SOME RESULTS RELATED WITH POISSON-SZEGÖKERNEL AND BEREZIN TRANSFORM

  • Yang, Gye Tak;Choi, Ki Seong
    • 충청수학회지
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    • 제24권3호
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    • pp.417-426
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    • 2011
  • Let ${\mu}$ be a finite positive Borel measure on the unit ball $B{\subset}{\mathbb{C}}^n$ and ${\nu}$ be the Euclidean volume measure such that ${\nu}(B)=1$. For the unit sphere $S=\{z:{\mid}z{\mid}=1\}$, ${\sigma}$ is the rotation-invariant measure on S such that ${\sigma}(S) =1$. Let ${\mathcal{P}}[f]$ be the Poisson-$Szeg{\ddot{o}}$ integral of f and $\tilde{\mu}$ be the Berezin transform of ${\mu}$. In this paper, we show that if there is a constant M > 0 such that ${\int_B}{\mid}{\mathcal{P}}[f](z){\mid}^pd{\mu}(z){\leq}M{\int_B}{\mid}{\mathcal{P}}[f](z){\mid}^pd{\nu}(z)$ for all $f{\in}L^p(\sigma)$, then ${\parallel}{\tilde{\mu}}{\parallel}_{\infty}{\equiv}{\sup}_{z{\in}B}{\mid}{\tilde{\mu}}(z){\mid}<{\infty}$, and we show that if ${\parallel}{\tilde{\mu}{\parallel}_{\infty}<{\infty}$, then ${\int_B}{\mid}{\mathcal{P}}[f](z){\mid}^pd{\mu}(z){\leq}C{\mid}{\mid}{\tilde{\mu}}{\mid}{\mid}_{\infty}{\int_S}{\mid}f(\zeta){\mid}^pd{\sigma}(\zeta)$ for some constant C.

유성볼밀을 이용한 난용성 Pefloxacin의 분쇄조작에 의한 입자 설계 (Effect of Grinding on Solubility and Particle Size of Pefioxacin by Planetary Ball-Mill)

  • 임영근;김진우;최우식;야마모토;정해영
    • 생명과학회지
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    • 제9권2호
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    • pp.194-200
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    • 1999
  • Pefloxacin을 15분간 분쇄한 분쇄품에 있어서는 $D_10$, $D_50$$D_90$은 각각 2.79 $\mu$m, 15.94 $\mu$m 및 39.75 $\mu$m로 나타나 표준품에 비해서 입도가 현저하게 작아짐을 알수 있었으며, 이 보다 분쇄시간이 길어질 경우 입자가 점점 더 커지는 경향을 나타내어 분쇄에 의해 입도가 점점 작아지다가 정점을 지난 후부터는 재응집에 의해 입자가 다시 커지는 경향을 나타냄을 알 수 있었다. 분쇄한 peflocacin의 XRD패턴, 열분석 측정 및 IR-Spectrum 관측 결과 분쇄의 유무와 관계없이 패턴의 양상이 변하지 않음을 알 수 있었으며, 분쇄라는 물리적인 조작에 의해 pefloxacin의 물성과 안정성에는 특이한 변화가 없음을 알 수 있었다. 이상의 결과들은 분쇄에 의한 pefloxacin의 화합물질 변화나 기능의 변화, 원자간의 결합상태, 분자의 구조 등에 있어서 물성적 변화의 차이가 없음을 나타내고 있다. Pefloxacin 표준품에 비해서 분쇄를 하였을 경우 용해도가 개선됨을 알수 있었으며, 특히 15 분간 분쇄한 분쇄품의 경우에 있어서 가장 양호한 용해도 곡선을 얻을 수 있었다. 즉, 난용성 항균제 pefloxacin은 분쇄라는 조작에 의해 입도가 작아지고, 비표면적의 증가로 인한 그 물리적인 특성중의 하나인 용해도가 개선되므로 속효성 제형으로의 전환이 가능함을 시사하였다[1,11].

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Halogen Light Curing Unit과 Light Emitting Diodes Curing Unit을 이용하여 중합되어진 복합레진의 마멸 특성 비교 (Wear of Resin Composites Polymerized by Conventional Halogen Light Curing and Light Emitting Diodes Curing Units)

  • 이권용;김환;박성호;정일영;전승범
    • Tribology and Lubricants
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    • 제21권6호
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    • pp.268-271
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    • 2005
  • In this study, the wear characteristics of five different dental composite resins cured by conventional halogen light and LED light sources were investigated. Five different dental composite resins of Surefil, Z100, Dyract AP, Fuji II LC and Compoglass were worn against a zirconia ceramic ball using a pin-on-disk type wear tester with 15N contact force in a reciprocal sliding motion of sliding distance of 10mm/cycle at 1Hz under the room temperature dry condition. The wear variations of dental composite resins were linearly increased as the number of cycles increased. It was observed that the wear resistances of these specimens were in the order of Dyract AP > Surefil > Compoglass > Z100 > Fuji II LC. On the morphological observations by SEM, the large crack formation on the sliding track of Fuji II LC specimen was the greatest among all resin composites. Dyract AP showed less wear with few surface damage. There is no significant difference in wear performance between conventional halogen light curing and light emitting diodes curing sources. It indicates that a light emitting diodes (LED) source can replace a halogen light source as curing unit for composite resin restorations.

Phenotypic Diversity of Shea(Vitellaria Paradoxa C. F. Gaertn.) Populations across Four Agro-Ecological Zones of Cameroon

  • Nafan, Diarrassouba;Divine, Bup Nde;Cesar, Kapseu;Christophe, Kouame;Abdourahamane, Sangare
    • Journal of Crop Science and Biotechnology
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    • 제10권4호
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    • pp.223-230
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    • 2007
  • Vitellaria paradoxa commonly called shea is an important agro forestry and fruit-bearing species present in four agro-ecological zones of Cameroon. The goal of this work was the morphological characterization of certain populations of V. paradoxa which will serve as a necessary step for a subsequent genetic study of the species. Morphological observations related to 20 agronomic traits, studied on 8-13 trees selected from each of the eight shea populations across four different agro-ecological zones located in four provinces of Cameroon were studied. The study showed that there was a variation between the populations, related to the traits measured on the trunk, fruit, nut, and leaf. Three shapes of the tree(ball, broom, and trained), five shapes of the fruit(round, oblong, reversed pear, ovoid, and oblong), three colors of the nut(clear brown, dark brown, and blackish brown) were identified. The principal component analysis(PCA) carried out on the quantitative characters revealed 72% of the total variance expressed on the first and second main axis. This variation was essentially explained by the traits measured on the fruits and on the nuts. The analyses showed that only the traits of the fruits and the nuts were discriminative. The shea populations studied were structured into two distinct groups using these discriminative traits.

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造景植栽工事 標準품셈의 改善方案에 關한 硏究 (A Study on the Amelioration of the Standard of estimated Unit Manpower & Material' in the Landscape Planting Work)

  • 손창구;김귀곤;윤근영;강태호;김익수
    • 한국조경학회지
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    • 제18권3호통권39호
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    • pp.23-37
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    • 1990
  • The purpose of this study was to suggest, an ameliorated, 'standard of estimated unit manpower & material' in the Landscape Planting Work. To achieve this goal of this study, following process was performed to reach more advanced results. First, relevant domestic & foreign references were gathered & analyzed with a viewpoint of the system & contents within, Second, most similar foreign country‘s relevant 10 forms & actual site were surveyed, Third, actual site data were collected from the 17 selected landscape Planting sites Fourth, the collected data from reference study & actual site survey were analyzed and calculated. And Finally, analyzed data were reorganized & rearranged in good order with 3 principles to produce more ameliorated 'Standard of estimated unit manpower & material' in the landscape Planting Work. The suggested main results of this study include, 1. Reorganization of current system to transplanting(includes excavation & root ball wrapping), planting(includes tree & shrub), turfing & maintenance 2. Deletion of the Range of 'account of labor' & simultaneous distribution of 'account of labor' with a proposed regular ratio 3. Adjustment of the range of the plant's size 4. Amelioration of the level of 'Account of labor' 5. New establishment in maintenance items as Watering, Fertilizing & spraying chemicals on turf area. 6. Readjustment & new establishment of the backfill volume. 7. Actualization, readjustment & new establishment of the transportation amount.

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컨베어 이송장치에서의 무선 미소자기감지 시스템 구현 (Implementation of Wireless Micro-Magnetic Detection System in the Conveyer Belt)

  • 이영동
    • 한국정보통신학회논문지
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    • 제18권12호
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    • pp.2975-2981
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    • 2014
  • 기존 유선기반의 미소자기감지 시스템은 자기신호를 전기신호로 변환하여 신호처리부로 송신하는 과정에서 AC성 노이즈가 유입되고, 필터링 과정에서 과도한 신호의 시간 및 위상 지연 현상이 발생한다. 본 논문에서는 컨베어 이송장치에서의 무선통신 기술을 적용한 미소자기감지 시스템을 설계하고 구현한다. 무선미소자기시스템은 자기센서 검출부, 신호처리부, 무선센서네트워크부, 시스템 제어부 및 모니터링부로 구성하고, 무선 미소자기감지 시스템을 통해 밸브바디 내에 스틸볼이 삽입되어 있는 경우 자기센서 전압 값이 변화하는 것으로 감지하였다. 기존 유선기반의 시스템에 비해 검출 정확도 및 시간 지연 감소 등 성능이 향상됨을 평가를 통해 나타났으며, 패킷수신률 분석을 통해 미소자기시스템의 무선 적용 가능성을 확인하였다.

NONEXISTENCE OF NODAL SOLUTIONS OF SEMILINEAR ELLIPTIC EQUATION WITH SOBOLEV-HARDY TERM

  • Choi, Hyeon-Ock;Pahk, Dae-Hyeon
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제12권4호
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    • pp.261-269
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    • 2008
  • Let $B_1$ be a unit ball in $R^n(n{\geq}3)$, and $2^*=2n/(n-2)$ be the critical Sobolev exponent for the embedding $H_0^1(B_1){\hookrightarrow}L^{2^*}(B_1)$. By using a variant of Pohoz$\check{a}$aev's identity, we prove the nonexistence of nodal solutions for the Dirichlet problem $-{\Delta}u-{\mu}\frac{u}{{\mid}x{\mid}^2}={\lambda}u+{\mid}u{\mid}^{2^*-2}u$ in $B_1$, u=0 on ${\partial}B_1$ for suitable positive numbers ${\mu}$ and ${\nu}$.

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LIPSCHITZ TYPE INEQUALITY IN WEIGHTED BLOCH SPACE Bq

  • Park, Ki-Seong
    • 대한수학회지
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    • 제39권2호
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    • pp.277-287
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    • 2002
  • Let B be the open unit ball with center 0 in the complex space $C^n$. For each q>0, B$_{q}$ consists of holomorphic functions f : B longrightarrow C which satisfy sup z $\in$ B $(1-\parallel z \parallel^2)^q\parallel\nabla f(z)\parallel < \infty$ In this paper, we will show that functions in weighted Bloch spaces $B_{q}$ (0 < q < 1) satifies the following Lipschitz type result for Bergman metric $\beta$: |f(z)-f($\omega$)|< $C\beta$(z, $\omega$) for some constant C.

ON A FUZZY BANACH SPACE

  • Rhie, G.S.;Hwang, I.A.
    • 충청수학회지
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    • 제13권1호
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    • pp.71-78
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    • 2000
  • The main goal of this paper is to prove the following theorem ; Let (X, ${\rho}_1$) be a fuzzy normed linear space over K and (Y, ${\rho}_2$) be a fuzzy Banach space over K. If ${\chi}_{B_{{\parallel}{\cdot}{\parallel}}}{\supseteq}{\rho}*$, then (CF(X,Y), ${\rho}*$) is a fuzzy Banach space, where ${\rho}*(f)={\vee}{\lbrace}{\theta}{\wedge}\frac{1}{t({\theta},f)}\;{\mid}\;{\theta}{\in}(0,1){\rbrace}$, $f{\in}CF(X,Y)$, $B_{{\parallel}{\cdot}{\parallel}}$ is the closed unit ball on (CF(X, Y), ${\parallel}{\cdot}{\parallel}$ and ${\parallel}f{\parallel}={\vee}{\lbrace}P^2_{{\alpha}^-}(f(x))\;{\mid}\;P^1_{{\alpha}^-}(x)=1,\;x{\in}X{\rbrace}$, $f{\in}CF(X,Y)$, ${\alpha}{\in}(0,1)$.

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LITTLE HANKEL OPERATORS ON WEIGHTED BLOCH SPACES IN Cn

  • Choi, Ki-Seong
    • 대한수학회논문집
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    • 제18권3호
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    • pp.469-479
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    • 2003
  • Let B be the open unit ball in $C^{n}$ and ${\mu}_{q}$(q > -1) the Lebesgue measure such that ${\mu}_{q}$(B) = 1. Let ${L_{a,q}}^2$ be the subspace of ${L^2(B,D{\mu}_q)$ consisting of analytic functions, and let $\overline{{L_{a,q}}^2}$ be the subspace of ${L^2(B,D{\mu}_q)$) consisting of conjugate analytic functions. Let $\bar{P}$ be the orthogonal projection from ${L^2(B,D{\mu}_q)$ into $\overline{{L_{a,q}}^2}$. The little Hankel operator ${h_{\varphi}}^{q}\;:\;{L_{a,q}}^2\;{\rightarrow}\;{\overline}{{L_{a,q}}^2}$ is defined by ${h_{\varphi}}^{q}(\cdot)\;=\;{\bar{P}}({\varphi}{\cdot})$. In this paper, we will find the necessary and sufficient condition that the little Hankel operator ${h_{\varphi}}^{q}$ is bounded(or compact).