• 제목/요약/키워드: L/H

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MAPPING PROPERTIES OF THE MARCINKIEWICZ INTEGRALS ON HOMOGENEOUS GROUPS

  • Choi, Young-Woo;Rim, Kyung-Soo
    • 대한수학회지
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    • 제39권1호
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    • pp.61-75
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    • 2002
  • Under the cancellation property and the Lipschitz condition on kernels, we prove that the Marcinkiewicz integrals defined on a homogeneous group H are bounded from $H^1$(H) to $L^1$(H), from $L_{c}$ $^{\infty}$(H) to BMO (H), and from $L^{p}$ (H) to $L^{p}$ (H) for 1 < p < $\infty$ assuming the $L^{q}$ -boundedness for some q > 1.for some q > 1.

A Novel Linking Schiff-Base Type Ligand (L: py-CH=N-C6H4-N=CH-py) and Its Zinc Coordination Polymers:Preparation of L, 2-Pyridin-3-yl-1H-benzoimidazol, trans-[Zn(H2O)4L2].(NO3)2.(MeOH)2[Zn(NO3)(H2O)2(L)].(NO3).(H2O)2 and [Zn(L)(OBC)(H2O)] (OBC = 4,4'-Oxybis(benzoate))

  • Kim, Han-Na;Lee, Hee-K.;Lee, Soon-W.
    • Bulletin of the Korean Chemical Society
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    • 제26권6호
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    • pp.892-898
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    • 2005
  • A long, bis(monodentate), linking Schiff-base ligand L (py-CH=N-$C_6H_4$-N=CH-py) was prepared from 1,4-phenylenediamine and 3-pyridinecarboxaldehyde by the Schiff-base condensation. Ligand L has two terminal pyridyl groups capable of coordinating to metals through their nitrogen atoms. In contrast, the same reaction between 1,2-phenylenediamine and 3-pyridinecarboxaldehyde produced a mixture of imidazol isomers (2-pyridin-3-yl-1H-benzoimidazole), which are connected to one another by the N-H…N hydrogen bonding to form a tetramer. From Zn($NO_3)_2{\cdot}6H_2O$ and ligand L under various conditions, one discrete molecule, trans- [Zn($H_2O)_4L_2]{\cdot}(NO_3)_2{\cdot}(MeOH)_2$, and two 1-D zinc polymers, [Zn$(NO_3)(H_2O)_2(L)]{\cdot}(NO_3){\cdot}(H_2O)_2$ and [Zn(L) (OBC)($H_2O$)], were prepared. In ligand L, the N$\ldots$N separation between the terminal pyridyl groups is 13.994 $\AA$, with their nitrogen atoms at the meta positions (3,3’) in a trans manner. The corresponding N$\ldots$N separations in its compounds range from 13.853 to 14.754 $\AA$.

INTERPOLATION PROBLEMS FOR OPERATORS WITH CORANK IN ALG L

  • Kang, Joo-Ho
    • 호남수학학술지
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    • 제34권3호
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    • pp.409-422
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    • 2012
  • Let $\mathcal{L}$ be a subspace lattice on a Hilbert space $\mathcal{H}$. And let X and Y be operators acting on a Hilbert space $\mathcal{H}$. Let $sp(x)=\{{\alpha}x\;:\;{\alpha}{\in}\mathcal{C}\}$ $x{\in}\mathcal{H}$. Assume that $\mathcal{H}=\overline{range\;X}{\oplus}sp(h)$ for some $h{\in}\mathcal{H}$ and < $h$, $E^{\bot}Xf$ >= 0 for each $f{\in}\mathcal{H}$ and $E{\in}\mathcal{L}$. Then there exists an operator A in Alg$\mathcal{L}$ such that AX = Y if and only if $sup\{\frac{{\parallel}E^{\bot}Yf{\parallel}}{{\parallel}E^{\bot}Yf{\parallel}}\;:\;f{\in}H,\;E{\in}\mathcal{L}\}$ = K < ${\infty}$. Moreover, if the necessary condition holds, then we may choose an operator A such that AX = Y and ${\parallel}||A{\parallel}=K$.

재조합 효모에 의한 Ferritin 이형집합체의 발현과 철 흡수 (Iron Uptake by the Recombinant Yeasts Producing Ferritin Heteropolymers)

  • 장유정;박충웅;김경숙
    • KSBB Journal
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    • 제19권5호
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    • pp.352-357
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    • 2004
  • Human ferritin H- and L-chain genes (hfH and hfL) were cloned into the yeast shuttle vector YEp352 containing the GAL1 (galactokinase) and GAL10 (epimerase) divergent promoters and the vectors constructed were used to transform Saccharomyces cerevisiae 2805. SDS-PAGE displayed expression of the introduced hfH and hfL in both recombinant strains of Y1H10L and Y1L10H. The ferritin subunits, that represented ca. $22\%$ and $15\%$ of the soluble proteins in Y1H10L and Y1L10H, were spontaneously assembled into active ferritin heteropolymers. The H subunit content of the purified recombinant human ferritin heteropolymers was proven to reflect the relative expression yield of the subunits. When the cells of 2d culture were incubated with 14.3 mM Fe(2), the cellular iron concentration of Y1H10L and Y1L10H was 1.7 and 2.0 times, respectively, that of the control strain. It is assumed that increase in the iron uptake of the recombinant yeasts is closely related to ferritin expression and H subunit content.

LK-BIHARMONIC HYPERSURFACES IN SPACE FORMS WITH THREE DISTINCT PRINCIPAL CURVATURES

  • Aminian, Mehran
    • 대한수학회논문집
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    • 제35권4호
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    • pp.1221-1244
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    • 2020
  • In this paper we consider LK-conjecture introduced in [5, 6] for hypersurface Mn in space form Rn+1(c) with three principal curvatures. When c = 0, -1, we show that every L1-biharmonic hypersurface with three principal curvatures and H1 is constant, has H2 = 0 and at least one of the multiplicities of principal curvatures is one, where H1 and H2 are first and second mean curvature of M and we show that there is not L2-biharmonic hypersurface with three disjoint principal curvatures and, H1 and H2 is constant. For c = 1, by considering having three principal curvatures, we classify L1-biharmonic hypersurfaces with multiplicities greater than one, H1 is constant and H2 = 0, proper L1-biharmonic hypersurfaces which H1 is constant, and L2-biharmonic hypersurfaces which H1 and H2 is constant.

4종 촤화류에 대한 pH 수준별 처리가 잎의 완충능력, chlorophyll 함량 및 무기성분 용출에 미치는 영향 (Effect of Simulated Acid Solution on Acid Buffering Capacity, Chlorophyll Content and Nutrient Leaching in the Leaves fo 4 Herb Species)

  • 김학윤
    • 생명과학회지
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    • 제11권3호
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    • pp.197-202
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    • 2001
  • This study was conducted to investigate the effect of simulated acid solution(SAS) on acid buffering capacity, chlorophyll content and butrient leacking in 4 herb species(Petunia hybrida Vilm, Gomphrena globosa L. Celosia cristat L. Salvia officinallis L) . The acid buffering capacity in the leves was increased in the treatment of pH 3.0 in Celosia L., whereas it was increased at pH 4.0 in Petunia Petunia hybrida Vilm. and Gomprean globosa L.. But, the acid buffering capacity of the leaves did not work at ph 2.0 treatment in 4 herb species. With decreasing pH level, the chlorophyll content of Petunia hybrida Vilm. and Gomphrena globosa L. Was markedly decreased than that of Gelosia cristata L. and Savia officinalis L. As the pH levels decreased from 5.6 to 2.0 the nutrient leaching from leaves was significantly increased in 4 herb species. In pH 4.0 and 5.6, the concentrations of nutrient leaching from leaves were higher in Perunia hybrida Vilm. and Gomphrean globosa L. than Gelosia cristata L. and Salvia officinalis L., Based on the results, there was a great differences in response to SAS among the 4 herb species. Im general, Gelosia cristata L. and Salvia officinalis L. represented a higher tolerance to SAS Petunia hybrida Vilm, and Gomphrena globosa L..

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