• 충청수학회지
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• 제36권2호
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• pp.87-91
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• 2023

It is concerned with the size of bounded functions in Besov spaces. It reports that every closed subspace consisted with bounded functions in Besov spaces B^s_p,p(𝕋^d) (s < 0) is finite dimensional.

• 천문학회보
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• 제31권1호
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• pp.40.1-40.1
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• 2006

• 천문학회보
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• 제32권1호
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• pp.93.1-93.1
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• 2007

• Korean Journal of Mathematics
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• 제7권2호
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• pp.183-198
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• 1999

Let $\mathcal{F}(B)$ be the Fresnel class on an abstract Wiener space (B, H, ${\omega}$) which consists of functionals F of the form : $$F(x)={\int}_H\;{\exp}\{i(h,x)^{\sim}\}df(h),\;x{\in}B$$ where $({\cdot}{\cdot})^{\sim}$ is a stochastic inner product between H and B, and $f$ is in $\mathcal{M}(H)$, the space of all complex-valued countably additive Borel measures on H. We introduce the concepts of an $L_p$ analytic Fourier-Feynman transform ($1{\leq}p{\leq}2$) and a convolution product on $\mathcal{F}(B)$ and verify the existence of the $L_p$ analytic Fourier-Feynman transforms for functionls in $\mathcal{F}(B)$. Moreover, we verify that the Fresnel class $\mathcal{F}(B)$ is closed under the $L_p$ analytic Fourier-Feynman transform and the convolution product, respectively. And we investigate some interesting properties for the $n$-repeated $L_p$ analytic Fourier-Feynman transform on $\mathcal{F}(B)$. Finally, we show that several results in [9] come from our results in Section 3.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제5권2호
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• pp.109-114
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• 1998

Let H be a separable complex H be a space and let (equation omitted)(H) be the *-algebra of all bounded linear operators on H. An operator T in (equation omitted)(H) is said to be p-hyponormal if ($T^{\ast}T)^p - (TT^{\ast})^{p}\geq$ 0 for 0 ＜ p ＜ 1. If p = 1, T is hyponormal and if p = $\frac{1}{2}$, T is semi-hyponormal. In this paper, by using a technique introduced by S. K. Berberian, we show that the approximate point spectrum $\sigma_{\alpha p}(T) of a pure p-hyponormal operator T is empty, and obtains the compact perturbation of T.

• 대한수학회보
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• 제47권3호
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• pp.623-632
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• 2010

A holomorphic function F defined on the unit disc belongs to $A^{p,{\alpha}}$ (0 < p < $\infty$, 1 < ${\alpha}$ < $\infty$) if $\int\limits_U|F(z)|^p \frac{1}{1-|z|}(1+log)\frac{1}{1-|z|})^{-\alpha}$ dxdy < $\infty$. For boundedness of the composition operator defined by $C_{fg}=g{\circ}f$ mapping Blochs into $A^{p,{\alpha}$ the following (1) is a sufficient condition while (2) is a necessary condition. (1) $\int\limits_o^1\frac{1}{1-r}(1+log\frac{1}{1-r})^{-\alpha}M_p(r,\lambda{\circ}f)^p\;dr$ < $\infty$ (2) $\int\limits_o^1\frac{1}{1-r}(1+log\frac{1}{1-r})^{-\alpha+p}(1-r)^pM_p(r,f^#)^p\;dr$ < $\infty$.

• 호남수학학술지
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• 제5권1호
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• pp.261-266
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• 1983

• 대한치과교정학회지
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• 제27권5호
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• pp.733-741
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• 1997

하악전돌증 환자의 하악골 후퇴수술로 골격적인 변화뿐 아니라 연조직에서의 변화가 동시에 일어나는데, 외부적으로 나타나는 안모 연조직의 심미적 변화와 더불어 구강내의 가동성 및 비가동성 연조직에도 영향을 미친다. 전북대학교병원 치과교정과에 하악전돌증을 주소로 내원한 환자중 수술전 교정치료를 받고 하악골만 양측성 하악지시상골절단술로 후퇴시킨 환자 38명의 수술전, 수술직후, 수술 약 1년후의 측모 두부계측방사선 사진의 투사도를 작성하고 FH plane과 pterygoid vertical plane(PTV)을 reference plane으로 사용하여 연속된 측모 두부계측방사선 사진을 중첩시켰다. 수술후 변화된 인두부 깊이와 혀, 연구개, 설골 등의 위치 변화를 위한 길이측정과 구인두부 기도공간 면적을 측정하기 위해 각 경계선을 디지타이저(Kurta digitizer XGT, Kurta Co., USA)로 컴퓨터에 입력하고 AutoCAD 프로그램으로 계측하였다. 하악골 후퇴수술이 구인두부 기도공간에 미치는 영향에 대해 연구하였으며 구강내 각 구조물들의 위치변화와 각 항목들의 상호관계성을 조사하였다. 1. 구인두부 기도공간은 하악전돌증 환자의 하악골 후퇴수술후 감소되며 연속적으로 감소를 유지하고 있다(p<0.05). 2. Xi 점과 제2경추 수준에서 인두의 깊이는 수술전과 비교해 수술후 유의하게 감소되었으며 감소된 채로 유지된다(p<0.05). 이 수준에서의 인두부 깊이 감소는 구인두부 기도공간과 밀접한 관련이 있다(p<0.01). 3. 제3경추와 제4경추 수준의 인두부 깊이는 수술후와 연속되는 관찰기간에도 유의하게 감소하지 않았다. 4. 설골은 수술후 하방으로 이동하였으나(p<0.05), 연속되는 관찰기간 동안 원래의 위치로 회귀되는 경향을 보였다. 5. 혀의 길이와 높이 그리고 후두개 기저의 위치는 유의하게 변화하지 않았다. 6. 연구개는 수술후 후방으로 변위하며 혀의 후방변위로 연속적으로 후방위치된 채 남아 있다(p<0.05). 연구개의 변위는 구인두부 기도공간의 면적과 유의한 상관관계를 가지며 인두후벽과의 거리는 감소되었다(p<0.01). 7. 구인두 기도공간의 감소는 후두개첨 상방부에서 수술에 의한 혀의 후방변위에 기인하며 계속 감소가 유지되었다.

• International Journal of Fuzzy Logic and Intelligent Systems
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• 제5권2호
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• pp.175-178
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• 2005

In the present paper, we observe a relation between fuzzy norms and induced crisp norms on a linear space. We first prove that if $\rho_1,\;\rho_2$ are equivalent fuzzy norms on a linear space, then for every $\varepsilon\in(0.1)$, the induced crisp norms $P_\varepsilon^1,\;and\;P_\varepsilon^2$, respectively are equivalent. Since the converse does not hold, we prove it under some strict conditions. And consider the following theorem proved in [8]: Let $\rho$ be a lower semicontinuous fuzzy norm on a normed linear space X, and have the bounded support. Then $\rho$ is equivalent to the fuzzy norm $\chi_B$ where B is the closed unit ball of X. The lower semi-continuity of $\rho$ is an essential condition which guarantees the continuity of $P_\varepsilon$, where 0 < e < 1. As the last result, we prove that : if $\rho$ is a fuzzy norm on a finite dimensional vector space, then $\rho$ is equivalent to $\chi_B$ if and only if the support of $\rho$ is bounded.

• 한국실내디자인학회논문집
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• 제20권5호
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• pp.217-225
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• 2011

The meaning and role of public space has existed based on the periodical situation like history. The more the time has passed, the faster the meaning of it has changed. We can see the differences of it from the one which used to be. This study is about Platoon Kunsthalle which is so-called the complex cultural space. The purpose of this study is to show how the user is related to the program for the planning of the public space. It is based on the procedure of the research with absorbing the place. The people who are using the space are absorbed for knowing the user's action. And then, the specific actions are written and the status of the using space is photographed. The research is based on asking and answering about that. The result of this study is as follows : The first is that young people between 20's and 30's are using a hall comparing with other age through daily using of space and features of users. Also, Using between 7p.m. and 9p.m., a dinnertime, takes the first place and using of meals and beverages is major at lunch due to restaurant and bar. User behavior of "sitting" is the biggest part and the hall is used for the public purpose connected with "talking". The second is that the daily hall space is classified with the spacial area indirectly based on the condition. Also, it depends on the time and the using. The third is that the unusual hall space is depended on the program which is the role of leading the extention of using the space. That is why the program is important because it is effected directly to the way of using the space and the place of the furniture. I am looking forward that this study is the basic data for the planning of the public space in the complicated culture.