• Title/Summary/Keyword: Class $S^*({\beta})$

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ESTIMATES FOR RIESZ TRANSFORMS ASSOCIATED WITH SCHRÖDINGER TYPE OPERATORS

  • Wang, Yueshan
    • 대한수학회보
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    • 제56권5호
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    • pp.1117-1127
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    • 2019
  • Let ${\mathcal{L}}_2=(-{\Delta})^2+V^2$ be the $Schr{\ddot{o}}dinger$ type operator, where nonnegative potential V belongs to the reverse $H{\ddot{o}}lder$ class $RH_s$, s > n/2. In this paper, we consider the operator $T_{{\alpha},{\beta}}=V^{2{\alpha}}{\mathcal{L}}^{-{\beta}}_2$ and its conjugate $T^*_{{\alpha},{\beta}}$, where $0<{\alpha}{\leq}{\beta}{\leq}1$. We establish the $(L^p,\;L^q)$-boundedness of operator $T_{{\alpha},{\beta}}$ and $T^*_{{\alpha},{\beta}}$, respectively, we also show that $T_{{\alpha},{\beta}}$ is bounded from Hardy type space $H^1_{L_2}({\mathbb{R}}^n)$ into $L^{p_2}({\mathbb{R}}^n)$ and $T^*_{{\alpha},{\beta}}$ is bounded from $L^{p_1}({\mathbb{R}}^n)$ into BMO type space $BMO_{{\mathcal{L}}1}({\mathbb{R}}^n)$, where $p_1={\frac{n}{4({\beta}-{\alpha})}}$, $p_2={\frac{n}{n-4({\beta}-{\alpha})}}$.

AN APPLICATION OF FRACTIONAL DERIVATIVE OPERATOR TO A NEW CLASS OF ANALYTIC AND MULTIVALENT FUNCTIONS

  • Lee, S.K.;Joshi, S.B.
    • Korean Journal of Mathematics
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    • 제6권2호
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    • pp.183-194
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    • 1998
  • Making use of a certain operator of fractional derivative, a new subclass $L_p({\alpha},{\beta},{\gamma},{\lambda})$) of analytic and p-valent functions is introduced in the present paper. Apart from various coefficient bounds, many interesting and useful properties of this class of functions are given, some of these properties involve, for example, linear combinations and modified Hadamard product of several functions belonging to the class introduced here.

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임상실습을 경험한 보건계열 학생들의 임파워먼트 향상에 영향을 미치는 요인 (Influencing Factors on Empowerment Improvement in Health-related College Students Experienced Clinical Practice)

  • 강영한;박종삼
    • 한국콘텐츠학회논문지
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    • 제12권7호
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    • pp.223-231
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    • 2012
  • 임상실습을 경험한 보건계열 학생들의 임파워먼트에 영향을 미치는 요인을 실습교육요인과 실습기관요인으로 구분하여 분석함으로써, 학교 실습교육에 대한 올바른 방향을 제시하고, 임상실습기관에서 효율적으로 실습이 이루어지도록 도움을 주고자 하였다. 이를 평가하기 위한 임파워먼트 척도는 자아존중감, 자기통제, 대인통제, 전공진로통제, 전공에 대한 사기, 지식 및 기술적 성장으로 구성되었으며, 척도의 신뢰도 Cronbach's ${\alpha}$=.944로 높았다. 보건계열 학생들의 임파워먼트에 영향을 미치는 요인은 성별(${\beta}$=-.029), 학과 선택 만족여부(${\beta}$=.194), 슈퍼비전 만족도(${\beta}$=.196), 학교실습수업만족도(${\beta}$=.204) 이었다. 즉 보건계열학과의 학생들의 임파워먼트를 높이기 위해서 학생은 본인의 학과에 만족하며 실습수업에 충실히 임하여야 하고, 슈퍼바이저는 체계적인 실습교육이 될 수 있도록 임상지침서를 충분히 활용하며, 학생들과 지지적인 관계를 형성하여야 한다. 학교에서는 사전에 실습과목이 수강될 수 있도록 하고, 학생들이 원하는 실습기관과 실습기간을 정할 필요가 있고, 실습 전에 충분한 실습 오리엔테이션을 하는 것이 도움이 될 것이다.

후두편평세포암종에서 Human papillomavirus의 검출과 주조직적합복합체(Major Histocompatibility Complex: MHC) Class I 발현양상 (Detection of Human Papillomavirus and Expression of MHC Class I in Laryngeal Squamous Cell Carcinoma)

  • 오병권;황찬승;홍영호;김훈;김춘길;민헌기
    • 대한기관식도과학회지
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    • 제3권1호
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    • pp.70-78
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    • 1997
  • The development of preneoplastic and neoplastic squamous cell proliferations of body sites such as the skin, female lower genital tract, and larynx is strongly associated with specific types of human papillomaviruses (HPV). Antitumor $CD^{8+}$ cells recognize peptide antigens presented on the surface of tumor cells by major histocompatibility complex (MHC) class I molecules. The MHC class I molecule is a heterodimer composed of an integral membrane glycoprotein designated the alpha chain and a noncovalently associated, soluble protein called beta-2-microglobulin( $\beta$ -2-m). Loss of $\beta$-2-m generally eliminates antigen recognition by antitumor $CD^{8+}$ T cells. We evaluated the expression of $\beta$-2-m as a potential means of tumor escape from immune recognition and the presence of HPV DNA as a cause of laryngeal squamous cell carcinomas (SCCs). Laryngeal SCCs (n=39) were analyzed for MHC class I expression by immunohistochemistry and for presence of HPV by in situ hybridization technique. The results were as follows : 1) HPV DNA was detected in 10 (25.64%) out of 39 cases in laryngeal squamous cell carcinomas. 2) MHC class I down-regulation (heterogenous and negative expression) in HPV positive lesions was higher than HPV negative lesions. 3) The expression of MHC class I was related to cellular differentiation regardless of T-stage and nodal involvement. In conclusion, HPV was thought to be the etiological factor of SCC of larynx, and we found that the down-regulation of MHC class I was a common phenomenon In laryngeal SCC and may provide a way for tumor cells to escape from immune surveillance.

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A BANACH ALGEBRA AND ITS EQUIVALENT SPACES OVER PATHS WITH A POSITIVE MEASURE

  • Cho, Dong Hyun
    • 대한수학회논문집
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    • 제35권3호
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    • pp.809-823
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    • 2020
  • Let C[0, T] denote the space of continuous, real-valued functions on the interval [0, T] and let C0[0, T] be the space of functions x in C[0, T] with x(0) = 0. In this paper, we introduce a Banach algebra ${\bar{\mathcal{S}}}_{{\alpha},{\beta};{\varphi}}$ on C[0, T] and its equivalent space ${\bar{\mathcal{F}}}({\mathcal{H}}) $, a space of transforms of equivalence classes of measures, which generalizes Fresnel class 𝓕(𝓗), where 𝓗 is an appropriate real separable Hilbert space of functions on [0, T]. We also investigate their properties and derive an isomorphism between ${\bar{\mathcal{S}}}_{{\alpha},{\beta};{\varphi}}$ and ${\bar{\mathcal{F}}}({\mathcal{H}}) $. When C[0, T] is replaced by C0[0, T], ${\bar{\mathcal{F}}}({\mathcal{H}}) $ and ${\bar{\mathcal{S}}}_{{\alpha},{\beta};{\varphi}}$ reduce to 𝓕(𝓗) and Cameron-Storvick's Banach algebra 𝓢, respectively, which is the space of generalized Fourier-Stieltjes transforms of the complex-valued, finite Borel measures on L2[0, T].

On $\delta$ -semiclassical orthogonal polynomials

  • K. H. Kwon;Lee, D. W.;Park, S. B.
    • 대한수학회보
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    • 제34권1호
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    • pp.63-79
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    • 1997
  • Consider an oparator equation of the form : $$ (1.1) H[y](x) = \alpha(x)\delta^2 y(x) + \beta(x)\delta y(x) = \lambda_n y(x), $$ where $\alphs(x)$ and $\beta(x)$ are polynomials of degree at most two and one respectively, $\lambda_n$ is the eigenvalue parameter, and $\delta$ is Hahn's operator $$ (1.2) \delta f(x) = \frac{(q - 1)x + \omega}{f(qx + \omega) - f(x)}, $$ for real constants $q(\neq \pm 1)$ and $\omega$.

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ANALYTIC EXTENSIONS OF M-HYPONORMAL OPERATORS

  • MECHERI, SALAH;ZUO, FEI
    • 대한수학회지
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    • 제53권1호
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    • pp.233-246
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    • 2016
  • In this paper, we introduce the class of analytic extensions of M-hyponormal operators and we study various properties of this class. We also use a special Sobolev space to show that every analytic extension of an M-hyponormal operator T is subscalar of order 2k + 2. Finally we obtain that an analytic extension of an M-hyponormal operator satisfies Weyl's theorem.

ON A CERTAIN CLASS OF p-VALENT UNIFORMLY CONVEX FUNCTIONS USING DIFFERENTIAL OPERATOR

  • Lee, S.K.;Khairnar, S.M.;Rajas, S.M.
    • Korean Journal of Mathematics
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    • 제19권1호
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    • pp.1-16
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    • 2011
  • In this paper, using differential operator, we have introduce new class of p-valent uniformly convex functions in the unit disc U = {z : |z| < 1} and obtain the coefficient bounds, extreme bounds and radius of starlikeness for the functions belonging to this generalized class. Furthermore, partial sums $f_k(z)$ of functions $f(z)$ in the class $S^*({\lambda},{\alpha},{\beta})$ are considered. The various results obtained in this paper are sharp.

Cloning and Molecular Characterization of ${\beta}$-1,3-Glucan Synthase from Sparassis crispa

  • Yang, Yun Hui;Kang, Hyeon-Woo;Ro, Hyeon-Su
    • Mycobiology
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    • 제42권2호
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    • pp.167-173
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    • 2014
  • A ${\beta}$-glucan synthase gene was isolated from the genomic DNA of polypore mushroom Sparassis crispa, which reportedly produces unusually high amount of soluble ${\beta}$-1,3-glucan (${\beta}$-glucan). Sequencing and subsequent open reading frame analysis of the isolated gene revealed that the gene (5,502 bp) consisted of 10 exons separated by nine introns. The predicted mRNA encoded a ${\beta}$-glucan synthase protein, consisting of 1,576 amino acid residues. Comparison of the predicted protein sequence with multiple fungal ${\beta}$-glucan synthases estimated that the isolated gene contained a complete N-terminus but was lacking approximately 70 amino acid residues in the C-terminus. Fungal ${\beta}$-glucan synthases are integral membrane proteins, containing the two catalytic and two transmembrane domains. The lacking C-terminal part of S. crispa ${\beta}$-glucan synthase was estimated to include catalytically insignificant transmembrane ${\alpha}$-helices and loops. Sequence analysis of 101 fungal ${\beta}$-glucan synthases, obtained from public databases, revealed that the ${\beta}$-glucan synthases with various fungal origins were categorized into corresponding fungal groups in the classification system. Interestingly, mushrooms belonging to the class Agaricomycetes were found to contain two distinct types (Type I and II) of ${\beta}$-glucan synthases with the type-specific sequence signatures in the loop regions. S. crispa ${\beta}$-glucan synthase in this study belonged to Type II family, meaning Type I ${\beta}$-glucan synthase is expected to be discovered in S. crispa. The high productivity of soluble ${\beta}$-glucan was not explained but detailed biochemical studies on the catalytic loop domain in the S. crispa ${\beta}$-glucan synthase will provide better explanations.

BIBFRAME에서 RDA Toolkit Beta 대표표현형 적용 방안에 관한 연구 (A Study on the BIBFRAME's Acceptance of Representative Expression of RDA Toolkit Beta)

  • 이미화
    • 한국도서관정보학회지
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    • 제51권1호
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    • pp.1-20
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    • 2020
  • 본고는 2019년 RDA Toolkit Beta가 개발됨에 따라 BIBFRAME에서 RDA Toolkit Beta 대표표현형 요소의 적용 방안을 모색하기 위해 연구방법으로 문헌연구와 RDA Toolkit Beta와 BIBFRAME 속성의 매핑방법을 사용하였다. BIBFRAME에서 RDA Toolkit Beta의 대표표현형 요소를 적용하기 위한 방안으로 다음의 사항을 제안하였다. 첫째, RDA Toolkit Beta에서는 표현형의 속성과 저작으로 전가된 대표표현형 요소를 별도로 구분하고 있으므로 BIBFRAME에서도 저작으로 전가된 대표표현형 요소를 구분하여 정의할 필요가 있다. 이를 위해 (1) 대표표현형을 위한 요소를 완전히 새로 개발하는 것 (2) RepresentativeExpression이라는 한정어를 정의하고 이를 기존 속성에 결합하여 대표표현형 속성으로 사용하는 것 (3) 클래스를 기존 속성에 결합해 대표표현형 속성으로 구분해 사용하는 것의 3가지 방안을 제시하였다. 둘째, BIBFRAME에서 저작과 저작에 대표표현형 속성을 제공한 대표표현형을 상호 연계시킬 수 있는 관계 요소로 를 추가할 것을 제시하였다. 본고는 LRM을 반영한 RDA를 BIBFRAME에서 적용하는 방안을 모색하였다는 점에서 추후 BIBFRAME의 개정에도 기여할 수 있을 것이다.