WEAKLY DENSE IDEALS IN PRIVALOV SPACES OF HOLOMORPHIC FUNCTIONS

Mestrovic, Romeo,Pavicevic, Zarko Korean Mathematical Society 2011 대한수학회지 Vol.48 No.2

In this paper we study the structure of closed weakly dense ideals in Privalov spaces $N^p$ (1 < p < $\infty$) of holomorphic functions on the disk $\mathbb{D}$ : |z| < 1. The space $N^p$ with the topology given by Stoll's metric [21] becomes an F-algebra. N. Mochizuki [16] proved that a closed ideal in $N^p$ is a principal ideal generated by an inner function. Consequently, a closed subspace E of $N^p$ is invariant under multiplication by z if and only if it has the form $IN^p$ for some inner function I. We prove that if $\cal{M}$ is a closed ideal in $N^p$ that is dense in the weak topology of $N^p$, then $\cal{M}$ is generated by a singular inner function. On the other hand, if $S_{\mu}$ is a singular inner function whose associated singular measure $\mu$ has the modulus of continuity $O(t^{(p-1)/p})$, then we prove that the ideal $S_{\mu}N^p$ is weakly dense in $N^p$. Consequently, for such singular inner function $S_{\mu}$, the quotient space $N^p/S_{\mu}N^p$ is an F-space with trivial dual, and hence $N^p$ does not have the separation property.

WEAKLY DENSE IDEALS IN PRIVALOV SPACES OF HOLOMORPHIC FUNCTIONS

Romeo Mestrovic,Zarko Pavicevic 대한수학회 2011 대한수학회지 Vol.48 No.2

In this paper we study the structure of closed weakly dense ideals in Privalov spaces N^p (1 < p < ∞) of holomorphic functions on the disk D : <수식>. The space Np with the topology given by Stoll's metric [21] becomes an F-algebra. N. Mochizuki [16] proved that a closed ideal in N^p is a principal ideal generated by an inner function. Consequently,a closed subspace E of N^p is invariant under multiplication by z if and only if it has the form IN^p for some inner function I. We prove that if M is a closed ideal in Np that is dense in the weak topology of N^p, then M is generated by a singular inner function. On the other hand, if Sμis a singular inner function whose associated singular measure μ has the modulus of continuity <수식> then we prove that the ideal SμN^p is weakly dense in N^p. Consequently, for such singular inner function Sμ,the quotient space N^p=SμN^p is an F-space with trivial dual, and hence N^p does not have the separation property.

Probabilistic estimates of corrosion rate of fuel tank structures of aging bulk carriers

Ivosevic, Spiro,Mestrovic, Romeo,Kovac, Natasa The Society of Naval Architects of Korea 2019 International Journal of Naval Architecture and Oc Vol.11 No.1

This paper considers corrosion wastage of two ship hull structure members as a part of investigated fuel oil tanks of 25 aging bulk carriers. Taking into account that many factors which influence corrosion wastage of ship hull structures are of uncertain nature, the related corrosion rate ($c_1$) is considered here as a real-valued continuous distribution, assuming that the corrosion wastage starts after 5, 6 or 7 years. In all considered cases, by using available data and applying three basic statistical tests, it is established that between two-parameter continuous distributions, normal, Weibull and logistic distributions are best fitted distributions for the mentioned corrosion rate ($c_1$). Note that the presented statistical, numerical and graphical results concerning two mentioned ship hull structure members allow to compare and discuss the corresponding probabilistic estimates for the corrosion rate ($c_1$).

Antimicrobial effect of different brushing frequencies with fluoride toothpaste on Streptococcus mutans and Lactobacillus species in children with fixed orthodontic appliances

Peros, Kristina,Mestrovic, Senka,Anic-Milosevic, Sandra,Rosin-Grget, Kata,Slaj, Mladen The Korean Association Of Orthodontists 2012 대한치과교정학회지 Vol.42 No.5

Objective: To evaluate the antimicrobial effect of different frequencies of brushing with fluoride toothpaste on the levels of salivary mutans streptococci and lactobacilli in children undergoing fixed orthodontic treatment. Methods: The study included 22 patients scheduled for fixed orthodontic therapy distributed between 2 groups with different hygiene regimes. All the subjects received identical braces, bands, and brackets bonded with the same material. Stimulated saliva samples were obtained before placement of the appliance and at 6, 12, and 18 weeks during the therapy. Saliva samples were cultured on selective microbial agar for the detection of microorganisms. Results: Salivary mutans streptococci were significantly suppressed throughout the experimental period in the group that brushed 4 times a day as compared to the group that brushed twice a day. Salivary lactobacilli were not significantly affected by the frequency of brushing with 0.32% sodium fluoride (NaF) toothpaste. Conclusions: The use of 0.32% NaF-containing toothpaste more than 3 times a day has effective antimicrobial activity on mutans streptococci but not lactobacilli in the saliva of children with fixed orthodontic appliances.

Antimicrobial effect of different brushing frequencies with fluoride toothpaste on Streptococcus mutans and Lactobacillus species in children with fixed orthodontic appliances

Kristina Peros,Senka Mestrovic,Sandra Anic-Milosevic,Kata Rosin-Grget,Mladen Slaj 대한치과교정학회 2012 대한치과교정학회지 Vol.42 No.5

Objective: To evaluate the antimicrobial effect of different frequencies of brushing with fluoride toothpaste on the levels of salivary mutans streptococci and lactobacilli in children undergoing fixed orthodontic treatment. Methods: The study included 22 patients scheduled for fixed orthodontic therapy distributed between 2 groups with different hygiene regimes. All the subjects received identical braces, bands, and brackets bonded with the same material. Stimulated saliva samples were obtained before placement of the appliance and at 6, 12, and 18 weeks during the therapy. Saliva samples were cultured on selective microbial agar for the detection of microorganisms. Results: Salivary mutans streptococci were significantly suppressed throughout the experimental period in the group that brushed 4 times a day as compared to the group that brushed twice a day. Salivary lactobacilli were not significantly affected by the frequency of brushing with 0.32% sodium fluoride (NaF) toothpaste. Conclusions: The use of 0.32% NaF-containing toothpaste more than 3 times a day has effective antimicrobial activity on mutans streptococci but not lactobacilli in the saliva of children with fixed orthodontic appliances.

Probabilistic estimates of corrosion rate of fuel tank structures of aging bulk carriers

Spiro Ivosevic,Romeo Mestrovic,Natasa Kovac 대한조선학회 2019 International Journal of Naval Architecture and Oc Vol.11 No.1

This paper considers corrosion wastage of two ship hull structure members as a part of investigated fuel oil tanks of 25 aging bulk carriers. Taking into account that many factors which influence corrosion wastage of ship hull structures are of uncertain nature, the related corrosion rate (c1) is considered here as a real-valued continuous distribution, assuming that the corrosion wastage starts after 5, 6 or 7 years. In all considered cases, by using available data and applying three basic statistical tests, it is established that between two-parameter continuous distributions, normal,Weibull and logistic distributions are best fitted distributions for the mentioned corrosion rate (c1). Note that the presented statistical, numerical and graphical results concerning two mentioned ship hull structure members allow to compare and discuss the corresponding probabilistic estimates for the corrosion rate (c1).

Gestational age - the most important factor of neonatal ponderal index

Damir Roje,Banovic Ivo,Tadin Ivica,Vucinovic Mirjana,Capkun Vesna,Barisic Aljosa,Vulic Marko,Mestrovic Zoran,Mimica Marko,Miletic Tomislav 연세대학교의과대학 2004 Yonsei medical journal Vol.45 No.2

Ponderal index (fetal weight in grams×100/ (fetal length in centimeters)3) (PI) is one of the anthropometric methods used to diagnose impaired fetal growth. Irrespective of the infant's position on the growth-weight-for-gestational age charts, PI is low in malnourished infants and high in obese ones. As fetal growth is affected by ethnicity, geographic location and socioeconomic status, we developed standards for neonatal PI, and assessed the effects of gestational age, sex and maternal parity. Data on 5798 newborns from singleton pregnancies born in the Department of Gynecology and Obstetrics, Split University Hospital, were retrospectively analyzed. Over a 15-month period in 2000/2001, 5596 newborns from 24 to 42 weeks of gestation were born. The other 202 newborns, born from 24 to 34 weeks of gestation in the ten year period, 1990-1999, were added because of the small number of preterm infants; ensuring a minimum of 30 to fill up at least infants in each gestational week. All mothers were of Caucasian origin. Stillbirths and fetuses with congenital malformations were excluded. The 10th, 50th and 90th percentiles, mean values with standard deviation of PI and the 10th, 50th, and 90th percentiles of birth weight and birth length are presented separately at weekly intervals. PI showed linear correlation with gestational age from 24 to 39 weeks, after witch the data plateaued. Sex and parity had no impact on PI in infants born between 24 and 37 weeks. Analysis of variance revealed PI to be significantly higher in female than in male newborns, and in multiparous than in nulliparous infants after 37 weeks of gestation. In conclusion, gestational age is the most important factor of neonatal PI. The effects of sex and parity on PI should only be considered in term neonates.

Vitamin B12 Supplementation in Addition to Folic Acid and Iron Improves Hematological and Biochemical Markers in Pregnancy: A Randomized Controlled Trial

Mirela Zec,Damir Roje,Martina Matovinovic,Vesna Anti cevic,Ljubica Librenjak Skare,Ana Jeron cic,Livia Puljak,Sanja Madunic,Zoran Mestrovic 한국식품영양과학회 2020 Journal of medicinal food Vol.23 No.10

Vitamin B12 plays an important role in cell division and is of vital importance during pregnancy. Iron and B12 deficiency increase the risk of neonatal morbidity and the outcome of the overall pregnancy. The aim of our study was to analyze whether the use of vitamin B12, with standard supplements of folic acid and iron among nonanemic pregnant women, will result in improvements of hemogram parameters in terms of hematological and biochemical markers. Study participants were 200 healthy pregnant women, randomized into an intervention group and a control group, recruited from gynecological primary care practices in Split, Croatia. In addition to standard supplementation (350 mg/day ferrous iron, 5 mg folic acid), participants in the intervention group were given 5 μg of vitamin B12 each morning for 100 days. Both biochemical and hematological measurings were conducted in two intervals: 8th–10th week of gestation and then again in the 34th–36th week of gestation. Participants in the control group were given only standard-of-care iron and folic acid supplementation. Significantly lower values of haptoglobin postintervention, compared with baseline, were found only in the intervention group; for erythrocytes, significantly lower values postintervention were found only in the control group. For parameter hematocrit, we found decreased values postintervention, compared with baseline, in both intervention and control group; however, this decrease was within the reference range for the control group, whereas it was above the reference range for the intervention group. The results of this study indicated that intervention with vitamin B12 in pregnancy reduces possibilities of the onset of anemia, but within reference range.