• Title/Summary/Keyword: $C_p$ weights

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HOLOMORPHIC FUNCTIONS ON THE MIXED NORM SPACES ON THE POLYDISC

  • Stevic, Stevo
    • Journal of the Korean Mathematical Society
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    • v.45 no.1
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    • pp.63-78
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    • 2008
  • We generalize several integral inequalities for analytic functions on the open unit polydisc $U^n={\{}z{\in}C^n||zj|<1,\;j=1,...,n{\}}$. It is shown that if a holomorphic function on $U^n$ belongs to the mixed norm space $A_{\vec{\omega}}^{p,q}(U^n)$, where ${\omega}_j(\cdot)$,j=1,...,n, are admissible weights, then all weighted derivations of order $|k|$ (with positive orders of derivations) belong to a related mixed norm space. The converse of the result is proved when, p, q ${\in}\;[1,\;{\infty})$ and when the order is equal to one. The equivalence of these conditions is given for all p, q ${\in}\;(0,\;{\infty})$ if ${\omega}_j(z_j)=(1-|z_j|^2)^{{\alpha}j},\;{\alpha}_j>-1$, j=1,...,n (the classical weights.) The main results here improve our results in Z. Anal. Anwendungen 23 (3) (2004), no. 3, 577-587 and Z. Anal. Anwendungen 23 (2004), no. 4, 775-782.

A NOTE ON MULTILINEAR PSEUDO-DIFFERENTIAL OPERATORS AND ITERATED COMMUTATORS

  • Wen, Yongming;Wu, Huoxiong;Xue, Qingying
    • Bulletin of the Korean Mathematical Society
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    • v.57 no.4
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    • pp.851-864
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    • 2020
  • This paper gives a sparse domination for the iterated commutators of multilinear pseudo-differential operators with the symbol σ belonging to the Hörmander class, and establishes the quantitative bounds of the Bloom type estimates for such commutators. Moreover, the Cp estimates for the corresponding multilinear pseudo-differential operators are also obtained.

Studies on Photosensitive Resins.-Molecular Weight Determination of Isophthalic Acid-Cinnamic Acid-Glycerine Polycondensates (感光性樹脂에 關한 硏究-Isophthalic acid-Cinnamic acid-Glycerine 系 縮重合物의 分子量에 關하여)

  • Shim, Jyong-Sup;Lee, Boo-Sop
    • Journal of the Korean Chemical Society
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    • v.6 no.1
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    • pp.94-98
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    • 1962
  • The polycondensates of isophthalic acid-cinnamic acid-glycerine system were synthesized. The molecular weights of these products were determined by two methods, viscosity method and osmotic pressure methods. In the synthesis of resin, the reaction temperature was kept at 232$^{\circ}C$ and the mole ratio of the reactants was chosen as follows: Glycerine ;1.0 Isophthalic acid ;1.0 Cinnamic acid ;2.8 Excessive cinnamic acid prevented gelation of reaction mixtures. As the solution became very dilute, reduced osmotic pressure P/C (at the concentration of solution below 0.24g/100 ml of acetone) and reduced viscosity ${\eta}_{sp}/C$ (at the concentration of solution below 0.32 g/100 ml of acetone) increased rapidly. The correspondence between molecular weights determined by the two methods made Huggin's equation applicable to the prepared polymer. The values of K and a are $2.77{\times}10^{-5}$ and 1.063, respectively.

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Effect of Feeding Time Shift on the Reproductive System in Male Rats

  • Kwak, Byung-Kook;Lee, Sung-Ho
    • Development and Reproduction
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    • v.16 no.1
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    • pp.53-58
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    • 2012
  • Circadian rhythmicity (e.g. secretory pattern of hormones) plays an important role in the control of reproductive function. We hypothesized that the alteration of feeding pattern via meal time shift/restriction might disrupt circadian rhythms in energy balance, and induce changes in reproductive activities. To test this hypothesis, we employed simple animal model that not allowing $ad$ $libitum$ feeding but daytime only feeding. The animals of $ad$ $libitum$ feeding group (Control) have free access to food for 4 weeks. The day feeding (=reverse feeding, RF) animals (RF group) have restricted access to food during daytime (0900-1800) for 4 weeks. After completing the feeding schedules, body weights, testis and epididymis weights of animals from both group were not significantly different. However, the weights of seminal vesicle (control : RF group = $0.233{\pm}0.014g$ : $0.188{\pm}0.009g$, $p$<0.01) and prostate (control : RF group = $0.358{\pm}0.015g$ : $0.259{\pm}0.015g$, $p$<0.001) were significantly lower in RF group animals. The mRNA levels of pituitary common alpha subunit ($C{\alpha}$; control : RF group = $1.0{\pm}0.0699$ AU : $0.1923{\pm}0.0270$ AU, $p$<0.001) and $FSH{\beta}$ (control : RF group = $1.0{\pm}0.1489$ AU : $0.5237{\pm}0.1088$ AU, $p$<0.05) were significantly decreased in RF group. The mRNA levels of ACTH were not significantly different. We were unable to find any prominent difference in the microstructures of epididymis, and there were slight alterations in those of seminal vesicles after 4 weeks of reversed feeding when compared to control samples. The present study demonstrates that the shift and/or restriction of feeding time could alter the pituitary gonadotropin expression and the weights of seminal vesicle and prostate in rats. These data suggest the lowered gonadotropin inputs may decrease androgen secretion form testis, and consequently results in poor response of androgen-dependent tissues such as seminal vesicle and prostate.

WEKGHTED WEAK TYPE ESTIMATES FOR CERTAIN MAXIMAL OPERATORS IN SPACES OF HOMOGENEOUS TYPE

  • Yoo, Yoon-Jae
    • Bulletin of the Korean Mathematical Society
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    • v.36 no.1
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    • pp.25-31
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    • 1999
  • Let $\nu$ be a positive Borel measure on a space of homogeneous type (X, d, $\mu$), satisfying the doubling property. A condition on a weight $\omega$ for whixh a maximal operator $M\nu f$(x) defined by M$mu$f(x)=supr>0{{{{ { 1} over {ν(B(x,r)) } INT _{ B(x,r)} │f(y)│d mu (y)}}}}, is of weak type (p,p) with respect to (ν, $omega$), is that there exists a constant C such that C $omega$(y) for a.e. y$\in$B(x, r) if p=1, and {{{{( { 1} over { upsilon (B(x,r) } INT _{ B(x,r)}omega(y) ^ (-1/p-1) d mu (y))^(p-1)}}}} C, if 1$infty$.

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Effect of Methionine Source and Dietary Crude Protein Level on Growth Performance, Carcass Traits and Nutrient Retention in Chinese Color-feathered Chicks

  • Xi, P.B.;Yi, G.F.;Lin, Y.C.;Zheng, C.T.;Jiang, Z.Y.;Vazquez-Anon, M.;Song, G.L.;Knight, C.D.
    • Asian-Australasian Journal of Animal Sciences
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    • v.20 no.6
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    • pp.962-970
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    • 2007
  • A total of 1,200 LinNan Chinese color-feathered chicks were used to study the effects of methionine source [DL-2-hydroxy-4-methylthio-butanoic acid (HMTBa) or DL-methionine (DLM)] and dietary crude protein (CP) level on growth performance, carcass traits, and whole-body nitrogen and fat retention. The trial was designed as a $2{\times}2$ factorial arrangement, including two CP levels (adequate and low) and two methionine sources (HMTBa and DL-methionine). Diets were formulated for three phases, starter (0-21 d), grower (21-42 d), and finisher (42-63 d). Chicks fed HMTBa had higher daily gain and improved feed efficiency than DLM during the grower phase (p<0.05). A significant two-way interaction was observed for growth performance during the finisher phase and overall (0-63 d). Growth performance was greater for chicks fed HMTBa than DLM on adequate-CP diets (p<0.05), but this was not observed at low-CP level (p>0.05). Chicks fed low-CP diets grew slower, used feed less efficiently during the grower, finisher phase and overall. On d 42, regardless of dietary CP levels, birds fed HMTBa had higher carcass weights, breast and thigh weights than DLM-fed birds (p<0.04). Birds fed low-CP diet had lighter carcass weights and less breast muscle, thigh muscle, and dressing percentage at the end of starter, grower and finisher phases (p<0.05). Whole body composition analyses found that birds fed HMTBa tended to contain more protein and less fat compared to those chicks fed DLM at the end of the starter phase (p<0.10). Low-CP diets increased CP concentration in the whole body at the end of the finisher phase (p = 0.05). HMTBa supplementation increased whole-body N retention rate during the finisher phase and overall (p<0.01), and low-CP diets reduced N intake and whole-body fat retention during the finisher phase and overall (p<0.05). In summary, HMTBa was better than DLM on an equimolar basis for growth performance, carcass traits, and N retention in Chinese color-feathered chicks. Low-CP diets lowered growth performance as well as carcass traits in color-feathered birds, probably due to imbalanced AA profiles.

Cloning of Serratia marcescens KFRI314 chitinase genes and its role on chitin degradation (Serratia marcescens KFRI314 chitinase 유전자의 클로닝과 키틴분해에 관한 효소의 역할)

  • Kim, Jungtae;Choi, Shin-Geon
    • Journal of Industrial Technology
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    • v.30 no.B
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    • pp.61-68
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    • 2010
  • Three chitinase genes (chiA, chiB, and chiC) were cloned into E. coli by PCR amplification from Serratia marcescens KFRI314. The sizes of cloned chitinase genes were 1692 bp, 1500 bp, and 1443 bp which correspond to 563, 499, and 480 amino acids, respectively. Recombinant chitinases were overexpressed using pHCEIA expression vector and purified to homogenity. The molecular weights of chitinases were about 60kDa, 50 kDa, 52 kDa, respectively. Optimum pHs were around pH 5~6 and optimum temperatures were $45{\sim}50^{\circ}C$ while 90% of enzyme activities were stable up to $50^{\circ}C$. The specific activities of ChiA, ChiB, and ChiC were 233.1, 278.8, $111.3{\mu}mol\;(min)^{-1}\;mg^{-1}$ against colloidal chitin. From experiments using TLC and fluorescent substrate analogues, it was demonstrated that ChiA was endo-chitinase while ChiB and ChiC were chitobiosidase.

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Performance of Growing Goats Experimentally Infected with Stomach Worm (Haemonchus contortus)

  • Howlader, M.M.R.;Capitan, S.S.;Eduardo, S.L.;Roxas, N.P.;Sevilla, C.C.
    • Asian-Australasian Journal of Animal Sciences
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    • v.10 no.5
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    • pp.534-539
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    • 1997
  • A uniform group of 12 upgrade grower goats of 6.0 -7.5 months old were used in this study. They were equally divided into three groups of $T_1$, $T_2$ and $T_3$ and were infected orally with three levels (0, 5,000 and 10,000 larvae) of infective Haemonchus contortus larvae. Before infection, all animals were housed in individual pens with concrete floor. They were provided with a uniform management. Comparison of body weight changes of infected and uninfected grower goats were done using weekly body weights. There was significant (p < 0.01) interaction between the effect of stomach worm infection and duration of infection on body weight. The infected groups (2 and 3) weighed significantly (p < 0.05) less than the control group from week 18 to 21. The animals of control group gained an average of 2.85 kg with 18.75 g average daily gain (ADG) in 152 days, which were significantly higher than those of animals in the infected groups. There was significant effect of H. contortus infection on the pres laughter weights of grower goats. The hot carcass weights of the infected goats were significantly lower than the uninfected group. No significant difference in dressing percentage of infected and uninfected groups was observed.

Isolation, Purification and Characterization of Polysaccharides that induce in vitro Immuno-Stimulation of Macrophases derived from Liquid Culture of Cordyceps militaris

  • Kwon, Jeong-Seok;An, Hyo-Sil;Hong, Eock-Kee
    • 한국생물공학회:학술대회논문집
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    • 2005.10a
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    • pp.287-292
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    • 2005
  • The crude polysaccharides(C-CPF, C-CPM, C-CPB) derived from fruiting body, mycelia and mycelia free broth of cordyceps militaris were obtained by ethanol precipitation of hot water extracts. After a batch fermentation of C. militaris was carried out in a 5 L jar vessel, endo-polysaccharide and exo-polysaccharide were obtained. They were demonstrated as the hetero polysaccharides which were composed of glucsose, galactose and mannose by performed with HPAEC(high pH anion exchange chromatography) and conformation of random coil by its complex forming ability with congo red reagent. They were purified by ion exchange (DEAE-cellulose) and gel filtration chromatography. They were monitered by phenol-sulfuric acid method and Bradford method. The NO induction activities of crude polysaccharides and purified polysaccharides derived from mycelia free broth were enhanced rather than LPS(lipo polysaccharide) which was used as a general NO inducer. These effects presumably contibute to the antitumor activities. The homogenieties and molecular weights of polysaccharides were determined by using Sepharose CL-6B. The yield, molecular weights and NO induction activities of C-CPFN Fr.III, C-CPMN Fr.III, C-CPBN Fr.II were 0.387, 0.408 and 0.153, 127 K 210 K and 36 K, 40.79%, 88.72%, and 104.17%, respectively.

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Effect of Plantaginis asiaticae Folium water extract on expression of lipid-related protein expression metabolism in high fat-induced obese C57BL/6 mice (차전초 잎의 물 추출물이 고지방식이로 비만이 유도된 C57BL/6 생쥐에서 지질대사 단백질 발현에 미치는 영향)

  • Kim, So Young;Jeong, Mi Jin;Kim, Yoo Jin;Lee, Un-Tak;Choo, Sung-Tae;Kim, Mi Ryeo
    • The Korea Journal of Herbology
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    • v.33 no.3
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    • pp.63-70
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    • 2018
  • Objective : Previous studies showed that water extract of Plantago asiatica (Plantaginis asiaticae Folium, PAF) significantly controlled in body weights, adipose tissue weights and blood lipid profiles in obese C57BL/6 mice. To investigate the mechanism of anti-obesity action of PAF, expressions of obesity-related proteins were identified such as p-AMPK and p-ACC in hypothalamus, UCP-1 in brown adipose tissue, p-AMPK, p-ACC, SREBP-1c, $PPAR{\gamma}$, HMGCR and CPT-1 in liver. Method : Five-weeks old male C57BL/6 mice were divided into 5 groups; ND (normal diet + 0.9% saline), HFD (high-fat diet + 0.9% saline), PC (high-fat diet+Garcinia cambogia 500 mg/kg), PAF 100 and 300 (high-fat diet + PAF 100 or 300 mg/kg). PAF was treated orally for 6 weeks. The protein expression of AMPK, p-AMPK, ACC, p-ACC, $PPAR{\gamma}$, SREBP-1c, HMGCR, CPT-1 and UCP-1 were identified by expression levels of proteins through western blot analysis. Result : The results showed that protein expressions on hypothalamic p-AMPK and p-ACC did not differ between the HFD and PAF groups. In addition, PAF did not affect the increase of UCP-1 in brown adipose tissue. The protein expression levels of hepatic p-AMPK, p-ACC and CPT-1 increased in PAF groups compared to HFD group. And those of $PPAR{\gamma}$, SREBP-1c and HMG-CoA decreased in PAF groups compared to HFD group. Conclusion : These results suggest that the PAF administration induce weight loss via inhibition of lipid metabolism-related protein expressions in hepatic tissues. Therefore, PAF could be used as a potent material of anti-obesity products for prevention and treatment of obesity.