• Title/Summary/Keyword: Berger measure

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SUBNORMALITY OF S2(a, b, c, d) AND ITS BERGER MEASURE

  • Duan, Yongjiang;Ni, Jiaqi
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.3
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    • pp.943-957
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    • 2016
  • We introduce a 2-variable weighted shift, denoted by $S_2$(a, b, c, d), which arises naturally from analytic function space theory. We investigate when it is subnormal, and compute the Berger measure of it when it is subnormal. And we apply the results to investigate the relationship among 2-variable subnormal, hyponormal and 2-hyponormal weighted shifts.

Comparison of Total Phenol, Flavonoid Contents, and Antioxidant Activities of Orostachys japonicus A. Berger Extracts (와송(Orostachys japonicus A. Berger) 추출물의 총 페놀, 플라보노이드 함량 및 항산화 활성 비교)

  • Jin, Dong-Hyeok;Kim, Han-Soo;Seong, Jong-Hwan;Chung, Hun-Sik
    • Journal of Environmental Science International
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    • v.25 no.5
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    • pp.695-703
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    • 2016
  • The purpose of this study was to measure the bioactivity and antioxidant activity of Orostachys japonicus A. Berger. Orostachys japonicus A. Berger have been known to contain functional materials such as kaempferol, hydroquinone, methyl gallate, quercetin, gallic acid etc. To identify the main functional materials of Orostachys japonicus A. Berger, the contents of flavonoid and phenol were measured. We extracted Orostachys japonicus A. Berger powder from four solvents such as chloroform:methanol (CM, 2:1, v/v), distilled water (DW), 70% methanol, 70% ethanol. After that, this study determined tannin, total phenol, flavonoid content, DPPH radical scavenging activity, ABTS radical scavenging activity, ferric reducing antioxidant power and reducing power of Orostachys japonicus A. Berger extracts and as results of comparing each extract. respectively. From the above results shows that antioxidant activity and bioactivity of Orostachys japonicus A. Berger extracts was higher in the order of 70% ethanol, 70% methanol, DW and CM (p<0.05). The results showed that antioxidant activity of Orostachys japonicus A. Berger extracts supposed to affect by the total phenol and flavonoid contents.

Multivariable Recursively Generated Weighted Shifts and the 2-variable Subnormal Completion Problem

  • Idrissi, Kaissar;Zerouali, El Hassan
    • Kyungpook Mathematical Journal
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    • v.58 no.4
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    • pp.711-732
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    • 2018
  • In this paper, we give a new approach to solving the 2-variable subnormal completion problem (SCP for short). To this aim, we extend the notion of recursively generated weighted shifts, introduced by R. Curto and L. Fialkow, to 2-variable case. We next provide "concrete" necessary and sufficient conditions for the existence of solutions to the 2-variable SCP with minimal Berger measure. Furthermore, a short alternative proof to the propagation phenomena, for the subnormal weighted shifts in 2-variable, is given.

Effect of Different Temperatures on Growing and Flowering of Orostachys japonicus A. Berger (동절기 온도(溫度)에 따른 바위솔의 생장과 개화)

  • Kang, Jin-Ho;Jeon, Seung-Ho;Yoon, Soo-Young;Hong, Dong-Oh;Shin, Sung-Cheol
    • Korean Journal of Medicinal Crop Science
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    • v.13 no.4
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    • pp.186-189
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    • 2005
  • Plant flowering should be mainly affected by temperature and daylength. The study was carried out to measure the effect of temperature during winter on growth and floret flowering of Orostachys japonicus grown under 2 hour night break. Temperature was controlled above $10^{\circ}C$ and $20^{\circ}C$ as heating boilers were run below them to compare the natural temperature. Night-break treatment was done on August 25 and afterward samples were taken every 4 weeks to check growth, morphological and flowering related characters. Plant height, inflorescence length, number of leaves including bracts and stem diameter were increased in heating temperatures of > $10^{\circ}C$ compared to natural temperature although similar in the two heating ones. Leaves and bracts, florets, stem, root, shoot and total dry weights showed the same response as the above morphological and flowering related characters. Florets were more formed but less flowered with higher temperatures. Anthesis rates of individual plant were 100% in natural temperature, 25% in > $10^{\circ}C$ heating temperature but none in > $20^{\circ}C$ heating temperature.

Effects of Growth and Flowering on Orostachys japonicus A. Berger by Nitrogen Fertilization (질소 시비량이 바위솔의 생장과 개화에 미치는 영향)

  • Lee, Chang-Woo;Jeon, Seung-Ho;Kim, Hong-Young;Shin, Sung-Cheol;Kang, Jin-Ho
    • Korean Journal of Medicinal Crop Science
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    • v.15 no.6
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    • pp.429-433
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    • 2007
  • Shoot weight of Orostachys japonicus should determine its profitability. The study was carried out to measure the effect of nitrogen (N) fertilization level (0, 5, 10, 20kg/10a) on its growth, morphological characters, and flowering. Night-break treatment of 2 hours at midnight were done since Aug. 25 when afterward samples were taken every 4 weeks to Nov. 16. Growth, morphological and flowering related characters were measured from each sample. Plant height, inflorescence length, number of leaves including bracts and stem diameter were decreased with increased N levels. Leaf and bract, floret, shoot and total dry weights as well as withering rate showed similar response to the above morphological characters. Florets were less formed with increased N levels but were not flowered due to the night-break treatment, meaning that N fertilization had little effect on its growth and anthesis of the florets.