• Title/Summary/Keyword: $D_{L/{\mu}}$

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COMPACT OPERATOR RELATED WITH POISSON-SZEGö INTEGRAL

  • Yang, Gye Tak;Choi, Ki Seong
    • Journal of the Chungcheong Mathematical Society
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    • v.20 no.3
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    • pp.333-342
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    • 2007
  • Suppose that ${\mu}$ is a finite positive Borel measure on the unit ball $B{\subset}C^n$. The boundary of B is the unit sphere $S=\{z:{\mid}z{\mid}=1\}$. Let ${\sigma}$ be the rotation-invariant measure on S such that ${\sigma}(S)=1$. In this paper, we will show that if $sup_{{\zeta}{\in}S}\;{\int}_{B}\;P(z,{\zeta})d{\mu}(z)$<${\infty}$ where $P(z,{\zeta})$ is the Poission-Szeg$\ddot{o}$ kernel for B, then ${\mu}$ is a Carleson measure. We will also show that if $sup_{{\zeta}{\in}S}\;{\int}_{B}\;P(z,{\zeta})d{\mu}(z)$<${\infty}$, then the operator T such that T(f) = P[f] is compact as a mapping from $L^p(\sigma)$ into $L^p(B,d{\mu})$.

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NOTES ON ${\alpha}$-BLOCH SPACE AND $D_p({\mu})$

  • Yang, Gye Tak;Choi, Ki Seong
    • Journal of the Chungcheong Mathematical Society
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    • v.25 no.3
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    • pp.543-552
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    • 2012
  • In this paper, we will show that if ${\mu}$ is a Borel measure on the unit disk D such that ${\int}_{D}\frac{d{\mu}(z)}{(1-\left|z\right|^2)^{p\alpha}}$ < ${\infty}$ where 0 < ${\alpha},{\rho}$ < ${\infty}$, then a bounded sequence of functions {$f_n$} in the $\alpha$-Bloch space $\mathcal{B}{\alpha}$ has a convergent subsequence in the space $D_p({\mu})$ of analytic functions f on D satisfying $f^{\prime}\;{\in}\;L^p(D,{\mu})$. Also, we will find some conditions such that ${\int}_D\frac{d\mu(z)}{(1-\left|z\right|^2)^p$.

A Study on Effectiveness of Conventional Phenylalanine Loading before BH4 Loading Test in Children with Hyperphenylalaninemia (고페닐알라닌혈증 환아들에게 BH4 부하검사 이전에 시행되는 페닐알라닌 부하의 효과에 대한 고찰)

  • Park, Youngcheon;Kim, Kang-in;Lee, Jeongho;Lee, Dong Hwan
    • Journal of The Korean Society of Inherited Metabolic disease
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    • v.16 no.2
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    • pp.86-92
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    • 2016
  • Purpose: The $BH_4$ loading test is an important test that distinguishes PKU from $BH_4$ deficiency and identifies the $BH_4$ reactivity of PKU patients. Phenylalanine and $BH_4$ loading tests are useful methods that can shorten the length of hospital stay while improving patients' convenience. However, sufficient research on the dose of phenylalanine loading and $BH_4$ administration time after the loading has not been carried out. The present study investigates the effectiveness of the existing phenylalanine loading method by analyzing the medical records of six patients who underwent the $BH_4$ loading test after taking 100 mg/kg of phenylalanine patients. Methods: The medical records of six patients who underwent the $BH_4$ load test after taking 100 mg/kg of phenylalanine were examined out of 207 patients who were followed up in the Genetic Metabolic Clinic in Soonchunhyang University Hospital. All of the six patients had a low phenylalanine diet. First, they were taking 100 mg/kg of phenylalanine. 3 hours later, 20 mg/kg of $BH_4$ were loaded. The phenylalanine levels in the blood were continuously measured at 1, 2, 4, 6, 8, 12, and 24 hours by setting the time the $BH_4$ was loaded as the basal. Results: The average of the highest phenylalanine concentrations of six patients was $20.0{\pm}11.70mg/dL$. One reached the highest concentration seven hours after taking phenylalanine; another reached it five hours after that, and the remaining three reached it four hours after that. Only one patient reached the highest concentration within three hours. The phenylalanine levels of four out of six patients (66%) rose above $400{\mu}mol/L$ after being loaded with phenylalanine. The phenylalanine levels of the remaining two were 6.1 mg/dL ($366{\mu}mol/L$) and 5 mg/dL ($300{\mu}mol/L$), respectively. Conclusion: One of six patients (16%) reached the highest concentration three hours after taking 100 mg/kg of phenylalanine and four patients (66%) reached $400{\mu}mol/L$ or higher phenylalanine levels. There were patients whose phenylalanine levels did not rise above $400{\mu}mol/L$ using a commonly known test method; moreover, this method had the disadvantage of reaching the highest concentration after more than three hours. Therefore, it is considered that taking 200 mg/kg or more of phenylalanine and performing $BH_4$ loading four to six hours after taking phenylalanine are helpful in proper diagnosis.

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Hematological Reference Values in the Healthy Adults (건강성인의 혈구 참고치 산정)

  • Kim, Young-Jin;Hyun, Myung-Soo;Lee, Hyun-Woo
    • Journal of Yeungnam Medical Science
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    • v.8 no.1
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    • pp.154-165
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    • 1991
  • To establish the hematological reference values in the healthy adults visited our hospitals, following examination were done on 2823 persons by Coulter Counter Model S-plus II ; white blood cell count: (WBC), red blood cell count(RBC), hemoglobin(Hb), hematocrit(Hct), mean corpuscular volume (MCV), mean corpuscular hemoglobin(MCH), mean corpuscular hemoglobin concentration(MCHC), red cell distribution width(RDW), platelet, plateletcrit, mean platelet volume(MPV) and platelet distribution width(PDW). The following results are obtained. 1) Male, mean value of WBC ; $6,800{\pm}2,680(2SD)/{\mu}l$ Female, mean value of WBC ; $5,950{\pm}2,380(2SD)/{\mu}l$ 2) Male, mean value of RBC ; $428{\pm}60(2SD){\times}10^4/{\mu}l$ Female, mean value of WBC ; $415{\pm}56(2SD){\times}10^4/{\mu}l$ 3) Male, mean value of Hb ; $15.4{\pm}1.8(2SD)g/dL$ Female, mean value of Hb ; $13.0{\pm}1.6(2SD)g/dL$ 4) Male, mean value of Hct ; $45.3{\pm}5.0(2SD)%$ Female, mean value of Hct ; $38.2{\pm}4.6(2SD)%$ 5) Male, mean value of MCV ; $93.8{\pm}5.8(2SD)fL$ Female, mean value of MCV ; $92.2{\pm}7.4(2SD)fL$ 6) Male, mean value of MCH ; $31.8{\pm}2.2(250)pg$ Female, mean value of MCH ; $31.4{\pm}2.8(2SD)pg$ 7) Male, mean value of MCHC ; $34.0{\pm}1.2(2SD)%$ Female, mean value of MCHC ; $33.9{\pm}1.2(2SD)%$ 8) Male, mean value of RDW ; $12.7{\pm}1.0(2SD)%$ Female, mean value of RDW ; $12.6{\pm}1.4(2SD)%$ 9) Male, mean value of Platelet ; $242.9{\pm}87.8(2SD){\times}10^3/{\mu}l$ Female, mean value of Platelet ; $242.2{\pm}89.0(2SD){\times}10^3/{\mu}l$ 10) Male, mean value of Plateletcrit ; $0.201{\pm}0.076(2SD)%$ Female, mean value of Plateletcrit ; $0.204{\pm}0.076(2SD)%$ 11) Male, mean value of MPV ; $8.20{\pm}1.70(2SD)fl$ Female, mean value of MPV ; $8.36{\pm}1.82(2SD)fl$ 12) Male, mean value of PDW ; $16.1{\pm}0.8(2SD)%$ Female, mean value of PDW ; $16.0{\pm}0.8(2SD)%$.

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Antioxidant Activities of Ipomoea batatas L. Lam. (Purple Sweet Potato) Extracts Cultured in Korea (국내산 자색고구마(Ipomoea batatas L. Lam.) 추출물의 항산화활성 평가)

  • Kong, Bong Ju;Han, Sung Soo;Ha, Ji Hoon;Park, Soo Nam
    • Journal of the Society of Cosmetic Scientists of Korea
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    • v.40 no.4
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    • pp.423-430
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    • 2014
  • In this study, the antioxidative effects for the extracts of purple sweet potato (Ipomoea batatas L. Lam.) were investigated. The purple sweet potato was extracted with 70% ethanol and the ethyl acetate fraction was obtained from the extracts. The yields of extract and ethyl acetate fraction were 39.2% and 3.49% per dried powder, respectively. To confirm the antioxidative effects of the extracts, free radical scavenging activities (1,1-diphenyl-2-picrylhydrazyl), total antioxidant capacity by luminol-dependent chemiluminescence assay and the protective effects against reactive oxygen species (ROS) in erythrocytes were measured. Free radical scavenging activities ($FSC_{50}$) of the 70% ethanol extract and ethyl acetate fraction were $90.16{\mu}g/mL$ and $7.69{\mu}g/mL$, respectively. The free radical scavenging activity of ethyl acetate fraction was higher than that of (+)-${\alpha}$-tocopherol ($8.98{\mu}g/mL$). Total antioxidant capacities ($OSC_{50}$) of the 70% ethanol extract and ethyl acetate fraction were $5.75{\mu}g/mL$ and $1.92{\mu}g/mL$, respectively. The capacity of ethyl acetate fraction was similar to L-ascorbic acid, known as a prominent water soluble antioxidant ($1.50{\mu}g/mL$). The cellular protective effects of the ethyl acetate fractions on the $^1O_2$-induced cellular damage of human erythrocytes were increased in a concentration dependent manner ($5{\sim}50{\mu}g/mL$). The ${\tau}_{50}$ value in $5{\mu}g/mL$ was 45.6 min which was higher than that of (+)-${\alpha}$-tocopherol in all concentrations. These results indicate that the ethyl acetate fraction of purple sweet potato (I. batatas) has the excellent antioxidative capacity and could be applicable to anti-aging cosmeceutical ingredients for skin aging inhibition.

Evaluation of Analyzer and Measurement Conditions of Blood Ammonia (혈중 암모니아의 측정조건과 분석기기의 평가)

  • Kim, Sang-Su;Kim, Myong Soo;Lee, Seung Mo;Park, Chang-Eun
    • Korean Journal of Clinical Laboratory Science
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    • v.48 no.2
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    • pp.68-73
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    • 2016
  • Ammonia is very toxic, and causes neuronal damage via excitotoxicity, oxidative stress, and inflammation. Because the liver is the primary organ for ammonia metabolism, compromised liver function can result from inborn errors of metabolism. Measurement of blood ammonia has some limitations. Recently, several laboratories examined possible concurrent increases in plasma ammonia. However, the collection, handling, storage, and analysis of blood samples are all potential sources of error. For evaluation of rapidity and reliability of measurement of blood ammonia, the DRI-CHEM 100 (Fuji Film Co., Japan) and COBAS 8000 (Roche Diagnostic Ltd., Switzerland) analyzer were used for analysis of ammonia level values. The results of this study detected a high correlation between analyzer. Therefore, one-step measurement was suitable for ammonia analysis. After sampling of the ammonia in the time slot for measurement an increase to 46.5, 57.4, and 79.0 (${\mu}g/dL$) was observed at 30, 90, and 180 minutes. In addition, specific capacity of the ammonia, 7, 10, and 13 (${\mu}L$), was measured as 39, 46, and 43 (${\mu}g/dL$), respectively, and the FDC-100 analyzer was more effective in $10{\mu}L$ (p<0.001). In conclusion, the evaluated analysis may offer useful information for clinical application.

The Inhibitory Effects of Acanthopanax sessiliflorum Seeman on Melanogenesis (오가피추출물의 멜라닌 생성 저해 효과)

  • Im, Kyung-Ran;Kim, Mi-Jin;Jung, Taek-Kyu;Yoon, Kyung-Sup
    • Journal of the Society of Cosmetic Scientists of Korea
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    • v.34 no.2
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    • pp.149-156
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    • 2008
  • To develop a new natural whitening agent for cosmetics, we investigated effects of Acanthopanax sessiliflorum Seeman on melanogenesis. We prepared phenolic acid-rich extract including two phenolic acids, chlorogenic acid and caffeic acid, as predominant constituents from Acanthopanax sessiliflorum Seeman. Phenolic acid-rich extract showed ROS scavenging activities in 1,1-diphenyl-2-picrylhydrazyl(DPPH) radical and xanthine/xanthine oxidase system with the $IC_{50}$ values of $3.43{\pm}0.35{\mu}g/mL$ and $158.91{\pm}1.57{\mu}g/mL$, respectively. Phenolic acid-rich fraction reduced melanin contents of B16 melanoma cells dose-dependantly and the decrease was $27.27{\pm}2.66%$ at a concentration of $100{\mu}g/mL$. And the phenolic acid-rich fraction reduced intracellular tyrosinase activity about $53.67{\pm}8.55%$ at a concentration of $100{\mu}g/mL$. Phenolic acid-rich extract inhibited tyrosinase and TRP-2 expression at protein level. These results suggest that phenolic acid-rich fraction reduced melanin formation by the inhibitions of tyrosinase activity and expression in B16 melanoma cells. Therefore, we suggest that phenolic acid-rich extract could be used as a whitening ingredient in cosmetics.

Anti-Oxidative and Nitric Oxide Production Inhibitory Activities of Phenolic Compounds from the Fruits of Actinidia arguta

  • Lim, Hyun-Woo;Kang, Seung-Jin;Park, Min;Yoon, Jung-Hye;Han, Byeong-Hoon;Choi, Sun-Eun;Lee, Min-Won
    • Natural Product Sciences
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    • v.12 no.4
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    • pp.221-225
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    • 2006
  • Phytochemical examination of the fruits of Actinidia arguta has led to the isolation three organic acids, one coumarin, and three flavonoids. Structures of these compounds were elucidated as protocatechuic acid (1), caffeic acid (2), $caffeoyl-\beta-D-glucopyranoside$ (3), esculetin (4), quercetin (5), quercetin $3-O-\beta-D-galactopyranoside$ (6), and quercetin $3-O-\alpha-L-rhamnopyranosyl$ $(1\rightarrow6)-O-\beta-D-glucopyranoside$ (7) by comparisons with previously reported spectral data. To investigate the anti-inflammatory and anti-oxidative effects of these compounds, nitric oxide production inhibitory activity in LPS-stimulated RAW 264.7 cells and DPPH radical scavenging activities were examined. Nitric oxide productions were reduced significantly by the addition of compounds $[1(IC_{50}=59.27{\mu}g/ml),\;2(IC_{50}=27.95{\mu}g/ml),\;3(IC_{50}=73.09{\mu}g/ml),\;4(IC_{50}=67.44{\mu}g/ml),\;5(IC_{50}=17.40{\mu}g/ml),\;6(IC_{50}=41.99{\mu}g/ml),\;7(IC_{50}=54.46{\mu}g/ml)]$, and extracts $(IC_{50}=56.21{\mu}g/ml)$ compared with positive control, L-NMMA $(IC_{50}=14.48{\mu}g/ml)$. The phenolic compounds also showed anti-oxidative activities. Especially, Compounds $1(IC_{50}=8.87{\mu}g/ml),\;4(IC_{50}=3.41{\mu}g/ml),\;and\;5(IC_{50}=6.06{\mu}g/ml),\;$, showed potent anti-oxidative activities similar to L-ascorbic acid $(IC_{50}=5.89{\mu}g/ml)$.

Design of Double-clad, Dispersion-Compensated Fiber at$\lambda=1.55\mu\textrm{m}$ : Step & Triangular Index Profile ($\lambda=1.55\mu\textrm{m}$에서 계단형, 삼각형 분포-이중클래드 분산보상 광섬유의 설계)

  • 김수아;김창민
    • Journal of the Korean Institute of Telematics and Electronics D
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    • v.34D no.11
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    • pp.54-63
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    • 1997
  • The 1-D finite-element mehtod is applied for designing double-clad otpical fibers with dispersion-compensation capability. design parameters allowing only a $LP_{01}$ single mode are treated and macro-bending loss are taken into consideration. Design parameters are extracted to have the compensation ratio $(L_{SMF}/L_{DCF})$ of 6.2 for core structure with step-index profile, and of 5.2 for core with triangular-index profile.

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Sobolev orthogonal polynomials and second order differential equation II

  • Kwon, K.H.;Lee, D.W.;Littlejohn, L.L.
    • Bulletin of the Korean Mathematical Society
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    • v.33 no.1
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    • pp.135-170
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    • 1996
  • Recently many people have studied the Sobolev orthogonal polynomials, that is, polynomials which are orthogonal relative to a symmetric bilinear form $\phi(\cdot,\cdot)$ defined by $$ (1.1) $\phi(p,q) := (p,q)_N = \sum_{k=0}^{N} \int_{R}p^(k) (x)q^(k) (x) d\mu_k, $$ where each $d\mu_k$ is a signed Borel measure on the real line $R$ with finite moments of all orders. For the brief history on this subject, we refer to the survey article Ronveaux [13] and Marcellan and et al [10].

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