• 제목/요약/키워드: {\alpha}$

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HYPONORMAL SINGULAR INTEGRAL OPERATORS WITH CAUCHY KERNEL ON L2

  • Nakazi, Takahiko
    • 대한수학회논문집
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    • 제33권3호
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    • pp.787-798
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    • 2018
  • For $1{\leq}p{\leq}{\infty}$, let $H^p$ be the usual Hardy space on the unit circle. When ${\alpha}$ and ${\beta}$ are bounded functions, a singular integral operator $S_{{\alpha},{\beta}}$ is defined as the following: $S_{{\alpha},{\beta}}(f+{\bar{g}})={\alpha}f+{\beta}{\bar{g}}(f{\in}H^p,\;g{\in}zH^p)$. When p = 2, we study the hyponormality of $S_{{\alpha},{\beta}}$ when ${\alpha}$ and ${\beta}$ are some special functions.

MULTIPLIERS OF WEIGHTED BLOCH SPACES AND BESOV SPACES

  • Yang, Gye Tak;Choi, Ki Seong
    • 충청수학회지
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    • 제22권4호
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    • pp.727-737
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    • 2009
  • Let M(X) be the space of all pointwise multipliers of Banach space X. We will show that, for each $\alpha>1$, $M(\mathfrak{B}_\alpha)=M(\mathfrak{B}_{\alpha,0})=H^\infty{(B)}$. We will also show that, for each $0<{\alpha}<1$, $M(\mathfrak{B}_\alpha)$ and $M(\mathfrak{B}_{\alpha,0})$ are Banach algebras. It is established that certain inclusion relationships exist between the weighted Bloch spaces and holomorphic Besov spaces.

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GEODESIC EQUATIONS OF TWO-DIMENSIONAL FINSLER SPACES WITH (${\alpha},\;{\beta}$)-METRICES $L\;=\;{\beta}+\{frac{\alpha^2}{\beta}\;AND\;L\;=\;{\alpha}+\frac{\beta^2}{\alpha}$.

  • Lee, Il-Yong;Choi, Eun-Seo
    • Journal of applied mathematics & informatics
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    • 제5권3호
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    • pp.839-848
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    • 1998
  • We can obtain the concise description of two dimensional Finsler space from the viewpoint of their geodesic curves. In this paper we obtain the geodesic equations in a two-dimensional Finsler space with some special (${\alpha},\;{\beta}$)-metrics by using the Weierstrass form. We shall be referred to an isothermal coodinate system and an orthonormal one with respect to an associated Riemannian space.

Dentatins: Sesquiterpene Glucosides from lxeris dentata

  • Chung, Ha-Sook;Woo, Won-Sik;Lim, Sook-Ja
    • Archives of Pharmacal Research
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    • 제17권5호
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    • pp.323-326
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    • 1994
  • Three new sesquiterpene lactone glucosides named dentatins A, B and C were isolated from lxeris dentata and the structures were elucidated as $3{\betha}, {\;}8{\betha}-dihydroxy-(1{\alpha}, 5{\alpha})guainan-10(14)-ene-6{\alpha}, {;\}12-olide-3-O-{\betha}-D-giucopyuranoside{\;}(1), {\;}3{\betha}, {\;}8{\betha}-dihydroxy-(1{\alpha}, {\;}5{\alpha})-guaian-4(15), {\;}10(14)-diene-6{\alpha}, {\;}12-plide-3-O-{\betha}-D-glucopyranoside{\;}(3)$, respectively, on the basis of spectral evidence.

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Photochemistry of $\alpha$-(o-Alkylphenyl)indanones

  • Jeong, Soo-Young;Park, Bong-Ser
    • Journal of Photoscience
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    • 제7권1호
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    • pp.35-37
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    • 2000
  • Photolysis of $\alpha$-(o-alkylphenyl) indanones resulted in $\alpha$-cleavage followed by disproportionation to form E-and Z- ortho-formyl stilbenes. No evidences of hydrogen abstraction reactions were collected from these indanones. The minimum rate constant of $\alpha$-cleavage in the $\alpha$-(o-alkylphenyl) indanones was estimated to be 5.5$\times$10$^{10}$ s$^{-1}$ .

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DECOMPOSITION SERIES AND SUPRATOPOLOGICAL SERIES OF NEIGHBORHOOD SPACES

  • Park, Sang-Ho
    • East Asian mathematical journal
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    • 제23권1호
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    • pp.111-122
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    • 2007
  • In this paper, we will show some relations between decomposition series {${\nu}^{\alpha}\;:\;{\alpha}$ is an ordinal } and supratopological series {${\sigma}_{\alpha}{\nu}\;:\;{\alpha}$ is an ordinal} for a neighborhood structure $\nu$ and the formular ${\sigma}_{\alpha}{\nu}\;=\;{\nu}^{({\omega}^{\alpha})}$, where $\omega$ is the first limit ordinal.

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WEAK* QUASI-SMOOTH α-STRUCTURE OF SMOOTH TOPOLOGICAL SPACES

  • Min, Won Keun;Park, Chun-Kee
    • Korean Journal of Mathematics
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    • 제14권2호
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    • pp.233-240
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    • 2006
  • In this paper we introduce the concepts of several types of $weak^*$ quasi-smooth ${\alpha}$-compactness in terms of the concepts of weak smooth ${\alpha}$-closure and weak smooth ${\alpha}$-interior of a fuzzy set in smooth topological spaces and investigate some of their properties.

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Molecularr Analysis of $\alpha$-Glucosidase from Microorganism

  • Kimura, Atsuo
    • 한국미생물생명공학회:학술대회논문집
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    • 한국미생물생명공학회 2001년도 Proceedings of 2001 International Symposium
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    • pp.73-76
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    • 2001
  • $\alpha$-Glucosidase contributing $\alpha$-glucan metabolism in microorganisms is characterized by the variety in substrate recognition. Recent studies on microbial enzymes show that $\alpha$-glucosidases are divided into two groups, family I and family n, in which family I enzymes have four conserved catalytic-regions of $\alpha$-amylase family. The presentation focusing on the difference of the $\alpha$-glucosidase families reviews i) the catalytic amino-acid residues of nucleophile and acid/base catalyst, and ii) the molecular evolution of two families.

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