• Title/Summary/Keyword: $P_{l}$

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BEST APPROXIMATIONS IN $L_{p}$(S,X)

  • Lee, Mun-Bae;Park, Sung-Ho;Rhee, Hyang-Joo
    • Bulletin of the Korean Mathematical Society
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    • v.36 no.3
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    • pp.589-597
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    • 1999
  • Let G be a closed subspace of a Banach space X and let (S,$\Omega$,$\mu$) be a $\sigma$-finite measure space. It was known that $L_1$(S,G) is proximinal in $L_1$(S,X) if and only if $L_p$(S,G) is proximinal in $L_p$(S,X) for 1$\infty$. In this article we show that this result remains true when "proximinal" is replaced by "Chebyshev". In addition, it is shown that if G is a proximinal subspace of X such that either G or the kernel of the metric projection $P_G$ is separable then, for 0 < p $\leq$ $\infty$. $L_p$(S,G) is proximinal in $L_p$(S,X)

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The Effect of Potassium Phosphate as a pH Stabilizer on the Production of Gellan by Sphingomonas paucibilis NK-2000 (Sphingomonas paucibilis NK-2000에 의한 젤란의 생산에 미치는 pH 안정제로서의 인산칼슐의 영향)

  • Lee, Nam-Kyu;Jo, Young-Bae;Jin, Il-Hyuck;Son, Chang-Woo;Lee, Jin-Woo
    • Journal of Life Science
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    • v.19 no.8
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    • pp.1033-1038
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    • 2009
  • Maximal productions of gellan by Sphingomnas paucibilis NK2000 from 20 g/l glucose and 10 g/l soybean pomace were 7.46 g/l in a flask and 7.35 g/l in a 7 l bioreactor, when the initial pH of media was 6.8. Maximal production of gellan in a 7 l bioreactor under pH control by sodium hydroxide was 8.42 g/l, whereas that under control by potassium phosphate was 8.50 g/l. The optimal concentration of potassium phosphate in a medium for production of gellan by S. paucibilis NK2000 was found to be 5.0 g/l. Maximal production of gellan in a medium containing 5.0 g/l potassium phosphate without pH control was 8.93 g/l in a 7 l bioreactor. In this study, a simple process without pH control was developed to enhance the production of gellan, with optimized concentration of potassium phosphate in the medium.

Changes of Pulmonary Function after Decortication in Chronic Empyema Thoracis (만성 농흉에서 늑막박피술후 폐기능의 변화)

  • Kim, Chang-Su;Kim, Gil-Dong;Jeong, Gyeong-Yeong
    • Journal of Chest Surgery
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    • v.30 no.9
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    • pp.914-919
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    • 1997
  • We analyzed the changes of pulmonary function after decortication i 33 patients with chronic empyema thoracis. In 11 patients of them, scintigraphic lung perfusion scan were performed. The results are as follows; 1, Forced expiratory volume in one second(FEVI) increased from 2.30 L/sec to 2.65 L/sec after decorticati on (p = 0.008) . 2. In patients under 20 years-old, PEV 1 increased significantly(p=0.001). 3. In patients who had tuberculosis empyema thoracis, FEVI increased significantly(p=0.008). The post-operative FEVI increased significantly 24 months later(p=0.013). 4. Te post-operative FEV1 increased significantly 24 months later(p=0013). 5. Perfusion and FEV1 of diseased lung changed from 21.5% to 26.9%(p=0.046) and 0.56 L/sec to 0.78 L/sec(p=0.071) after decortication respectively and perfusion of non-diseased lung changed 78.4% to 72.9% after decortication(p=0.042).

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Evaluation on Adaptation of Zosia japonica as Effected by Different Green Roof System under Rainfed Conditon (무관수 옥상녹화시스템의 차이에 따른 들잔디 적응성 평가)

  • Ju, Jin-Hee;Kim, Won-Tae;Choi, Woo-Young;Yoon, Yong-Han
    • Journal of Environmental Science International
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    • v.19 no.9
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    • pp.1137-1142
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    • 2010
  • This study proposes a guideline of a green roof system suitable for the local environment by verifying the growth of Zoysia japonica in a shallow, extensive, green roof system under rainfed condition. The experimental soil substrates into which excellent drought tolerance and creeping Z. japonica was planted were made with different soil thicknesses(15cm, 25cm) and soil mixing ratios(SL, $P_7P_1L_2$, $P_6P_2L_2$, $P_5P_3L_2$, $P_4P_4L_2$). The plant height, green coverage ratio, fresh weight, dry weight and chlorophyll contents of Z. japonica were investigated. For the soil thickness of 15cm, the plant height of Z. japonica was significantly as affected by the soil mixing ratio and it was shown in the order SL= $P_4P_4L_2$ < $P_7P_1L_2$ = $P_5P_3L_2$ < $P_6P_2L_2$. For the soil thickness of 25cm, the plant height was increased in order to SL < $P_7P_1L_2$, $P_6P_2L_2$, $P_5P_3L_2$ < $P_4P_4L_2$. The green coverage ratio was not observed by soil the mixing ratio or soil thickness. However, the green coverage ratio was 86~90% with a good coverage rate overall. The chlorophyll contents of Z. japonica were not significantly affected by the soil mixing ratio in the soil thickness of 15cm, but were higher in the natural soil than in the artificial soil at 25cm soil thickness. The fresh weight and dry weight of Zoysia japonica were heavier in the 25cm thickness than in the 15cm thickness and in the artificial soil mixture than in the natural soil. The result indicated that the growth of Zoysia japonica was more effective in the 25cm soil thickness with artificial soil than in the 15cm soil thickness with natural soil in the green roof system under rainfed condition.

Environmental Geochemistry of Radon at the Taejon City Area in Korea (대전시(大田市) 지역(地域) 라돈 환경(環境) 지화학(地化學) 연구(硏究))

  • Hong, Young-Kook
    • Economic and Environmental Geology
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    • v.30 no.1
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    • pp.51-60
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    • 1997
  • The high radon (Rn222) potentials of soil, groundwater, hotspring and indoor environments in the Taejon city area were delineated by use of an EDA RDA-200 radon detector. The U and Th contents were also analysed using a Multi Channel Analyzer to illustrate the sources of the radon potentials. The average U concentrations in Taejon vary according to the type of granites such as $4.14{\pm}2.36ppm$ in schistose granite (SG), $3.13{\pm}1.70ppm$ in biotite granite (BG) and $3.01{\pm}1.95ppm$ in two mica granite (TG). The U contents in the granites are closely related with the amounts of uraniferous minerals. However, the U contents in the soil are found to be $5.05{\pm}4.75ppm$ in TG, $4.07{\pm}1.69ppm$ in BG and $3.87{\pm}1.91ppm$ in SG which are mainly explained by the different cation exchange capacities (CEC) of the soils from various granites. The levels of soil radon are $552{\pm}656pCi/l$ in SG, in which levels at two locations exceed the level of 1,350 pCi/l established as guideline for follow-up action by the U.S. Environmental Protection Agency (EPA), $443{\pm}284pCi/l$ in TG and $224{\pm}115pCi/l$ in the BG. The soil radon concentrations are found to be proportional to the U content and hardness of the soils. The groundwater radon concentrations in the domestic wells of - 30~-100 m depth show that $6,907{\pm}4,665pCi/l$ in TG, $5,503{\pm}6,551pCi/l$ in SG and $2,104{\pm}1,157pCi/l$ in BG which are positively related with U contents in soils. The radon levels of six groundwater wells in TG and two in SG are greater than guideline for drinking water level, 10,000 pCi/l by EPA (1986). Average radon contents of hotsprings and public bathes in the TG area are $7,071{\pm}1,942pCi/l$ and $1,638{\pm}709pCi/l$, respectively, which are below the EPA standard for remedial action value of the 10,000 pCi/l. The mean indoor radon concentrations of the TG and SG areas are $1.60{\pm}1.20pCi/l$ and $1.60{\pm}0.70pCi/l$, respectively. The elevated indoor radon levels of 5.6 pCi/l and 6.7 pCi/l are found to be particularly in TG area, which exceeds 4 pCi/i guideline, correlating positively with the U contents in the soil and radon concentration in the groundwater.

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Generalized Extending Method for q-ary LCZ Sequence Sets (q진 LCZ 수열군의 일반화된 확장 생성 방법)

  • Chung, Jung-Soo;Kim, Young-Sik;Jang, Ji-Woong;No, Jong-Seon;Chung, Ha-Bong
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.33 no.11C
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    • pp.874-879
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    • 2008
  • In this paper, a new extending method of q-ary low correlation zone(LCZ) sequence sets is proposed, which is a generalization of binary LCZ sequence set by Kim, Jang, No, and Chung. Using this method, q-ary LCZ sequence set with parameters (N,M,L,${\epsilon}$) is extended as a q-ary LCZ sequence set with parameters (pN,pM,p[(L+1)/p]-1,p${\epsilon}$), where p is prime and p|q.

Identification and Fermentation Characteristics of Lactic Acid Bacteria Isolated from Hahyangju Nuruk (하향주 누룩으로부터 분리한 젖산균의 동정 및 발효 특성)

  • Park, Chi-Duck;Jung, Hee-Kyoung;Park, Hwan-Hee;Hong, Joo-Heon
    • Food Science and Preservation
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    • v.14 no.2
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    • pp.188-193
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    • 2007
  • The purpose of this study was to isolate lactic acid bacteria, useful in the fermentation industry from Hahyangju Nuruk. Five strains were isolated, and identified as Lactobacillus based on growth inhibition by 10% (v/v) alcohol at pH 4.0. Isolated strains were identified to species, and named Lactobacillus plantarum L-3, L. sakei L-10, and L. curvatus strains L-8, L-11, and L-12. Morphological characteristics, physiological data, carbohydrate fermentation patterns, and 16S rRNA sequence data, were all used to characterize the bacterial isolates. L. plantarum L-3 showed the highest lactic acid productivity of all isolates, but grew only poony in the presence of 10% (v/v) alcohol at pH 4.0. The other strains exhibited lower lactic acid productivity than did L. plantarum L-3 and did not grow in the presence of 10% (v/v) alcohol at pH 4.0. The optimal temperature and pH for lactic acid production were $30^{\circ}C$ and pH 6.0 7.0, respectively. The lactic acid productivity of L. plantarum L-3, L. sakei L-10 and the three L. curvatus strains L-8, L-11, and L-12 were (% v/v of culture supematant) 1.55, 1.0, 1.06, 1.0, and 0.99, respectively, at $30^{\circ}C$ and pH 6.0. While L. plantarum L-3 suffered growth inhibition in the presence of 10% (v/v) alcohol, growth of the other strains was inhibited at 8% (v/v) alcohol.

A Natural L-Arginine Analog, L-Canavanine-Induced Apoptosis is Suppressed by Protein Tyrosine Kinase p56lck in Human Acute Leukemia Jurkat T Cells (인체 급성백혈병 Jurkat T 세포에 있어서 L-canavanine에 의해 유도되는 세포자살기전에 미치는 단백질 티로신 키나아제 p56lck의 저해 효과)

  • Park, Hae-Sun;Jun, Do-Youn;Woo, Hyun-Ju;Rue, Seok-Woo;Kim, Sang-Kook;Kim, Kyung-Min;Park, Wan;Moon, Byung-Jo;Kim, Young-Ho
    • Journal of Life Science
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    • v.19 no.11
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    • pp.1529-1537
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    • 2009
  • To elucidate further the antitumor effects of a natural L-arginine analogue, L-canavanine, the mechanism underlying apoptogenic activity of L-canavanine and its modulation by protein tyrosine kinase $p56^{lck}$ was investigated in human Jurkat T cells. When the cells were treated with 1.25 to 2.5 mM L-canavanine for 36 h, several apoptotic events including mitochondrial membrane potential (${\Delta\Psi}m$) loss, activation of caspase-9, -3, -8, and -7, poly (ADP-ribose) polymerase (PARP) degradation, and DNA fragmentation were induced without alteration in the levels of Fas or FasL. These apoptotic changes were more significant in $p56^{lck}$-deficient Jurkat clone JCaM1.6 than in $p56^{lck}$-positive Jurkat clone E6.1. The L-canavanine-induced apoptosis observed in $p56^{lck}$-deficient JCaM1.6 cells was significantly reduced by introducing $p56^{lck}$ gene into JCaM1.6 cells by stable transfection. Treatment of JCaM1.6/lck cells with L-canavanine caused a transient 1.6-fold increase in the kinase activity of $p56^{lck}$. Both FADD-positive wild-type Jurkat T cell clone A3 and FADD-deficient Jurkat T cell clone I2.1 exhibited a similar susceptibility to the cytotoxicity of L-canavanine, excluding involvement of Fas/FasL system in triggering L-canavanine-induced apoptosis. The L-canavanine-induced apoptotic sub-$G_1$ peak and activation of caspase-3, -8, and -7 were abrogated by pan-caspase inhibitor (z-VAD-fmk), whereas L-canavanine-induced activation of caspase-9 was not affected. These results demonstrated that L-canavanine caused apoptosis of Jurkat T cells via the loss of ${\Delta\Psi}m$, and the activation of caspase-9, -3, -8, and -7, leading to PARP degradation, and that the $p56^{lck}$ kinase attenuated the ${\Delta\Psi}m$ loss and activation of caspases, and thus contributed as a negative regulator to L-canavanine-induced apoptosis.

WEIGHTED VECTOR-VALUED BOUNDS FOR A CLASS OF MULTILINEAR SINGULAR INTEGRAL OPERATORS AND APPLICATIONS

  • Chen, Jiecheng;Hu, Guoen
    • Journal of the Korean Mathematical Society
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    • v.55 no.3
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    • pp.671-694
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    • 2018
  • In this paper, we investigate the weighted vector-valued bounds for a class of multilinear singular integral operators, and its commutators, from $L^{p_1}(l^{q_1};\;{\mathbb{R}}^n,\;w_1){\times}{\cdots}{\times}L^{p_m}(l^{q_m};\;{\mathbb{R}}^n,\;w_m)$ to $L^p(l^q;\;{\mathbb{R}}^n,\;{\nu}_{\vec{w}})$, with $p_1,{\cdots},p_m$, $q_1,{\cdots},q_m{\in}(1,\;{\infty})$, $1/p=1/p_1+{\cdots}+1/p_m$, $1/q=1/q_1+{\cdots}+1/q_m$ and ${\vec{w}}=(w_1,{\cdots},w_m)$ a multiple $A_{\vec{P}}$ weights. Our argument also leads to the weighted weak type endpoint estimates for the commutators. As applications, we obtain some new weighted estimates for the $Calder{\acute{o}}n$ commutator.

ON A q-ANALOGUE OF THE p-ADIC GENERALIZED TWISTED L-FUNCTIONS AND p-ADIC q-INTEGRALS

  • Lee, Chae-Jang
    • Journal of the Korean Mathematical Society
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    • v.44 no.1
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    • pp.1-10
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    • 2007
  • The purpose of this paper is to define generalized twisted q-Bernoulli numbers by using p-adic q-integrals. Furthermore, we construct a q-analogue of the p-adic generalized twisted L-functions which interpolate generalized twisted q-Bernoulli numbers. This is the generalization of Kim's h-extension of p-adic q-L-function which was constructed in [5] and is a partial answer for the open question which was remained in [3].