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CHARACTERIZING FUNCTIONS FIXED BY A WEIGHTED BEREZIN TRANSFORM IN THE BIDISC

  • Lee, Jaesung
    • Korean Journal of Mathematics
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    • v.27 no.2
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    • pp.437-444
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    • 2019
  • For c > -1, let ${\nu}_c$ denote a weighted radial measure on ${\mathbb{C}}$ normalized so that ${\nu}_c(D)=1$. For $c_1,c_2>-1$ and $f{\in}L^1(D^2,\;{\nu}_{c_1}{\times}{\nu}_{c_2})$, we define the weighted Berezin transform $B_{c_1,c_2}f$ on $D^2$ by $$(B_{c_1,c_2})f(z,w)={\displaystyle{\smashmargin2{\int\nolimits_D}{\int\nolimits_D}}}f({\varphi}_z(x),\;{\varphi}_w(y))\;d{\nu}_{c_1}(x)d{\upsilon}_{c_2}(y)$$. This paper is about the space $M^p_{c_1,c_2}$ of function $f{\in}L^p(D^2,\;{\nu}_{c_1}{\times}{\nu}_{c_2})$ ) satisfying $B_{c_1,c_2}f=f$ for $1{\leq}p<{\infty}$. We find the identity operator on $M^p_{c_1,c_2}$ by using invariant Laplacians and we characterize some special type of functions in $M^p_{c_1,c_2}$.

SOME INEQUALITIES ON POLAR DERIVATIVE OF A POLYNOMIAL

  • Devi, Khangembam Babina;Krishnadas, Kshetrimayum;Chanam, Barchand
    • Nonlinear Functional Analysis and Applications
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    • v.27 no.1
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    • pp.141-148
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    • 2022
  • Let p(z) be a polynomial of degree n having no zero in |z| < k, k ≤ 1, then Govil proved $$\max_{{\mid}z{\mid}=1}{\mid}p^{\prime}(z){\mid}{\leq}{\frac{n}{1+k^n}}\max_{{\mid}z{\mid}=1}{\mid}p(z){\mid}$$, provided |p'(z)| and |q'(z)| attain their maximal at the same point on the circle |z| = 1, where $$q(z)=z^n{\overline{p(\frac{1}{\overline{z}})}}$$. In this paper, we extend the above inequality to polar derivative of a polynomial. Further, we also prove an improved version of above inequality into polar derivative.

EXISTENCE AND MULTIPLICITY OF SOLUTIONS OF p(x)-TRIHARMONIC PROBLEM

  • Belakhdar, Adnane;Belaouidel, Hassan;Filali, Mohammed;Tsouli, Najib
    • Nonlinear Functional Analysis and Applications
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    • v.27 no.2
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    • pp.349-361
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    • 2022
  • In this paper, we study the following nonlinear problem: $$\{-\Delta_{p}^{3}(x)u\;=\;{\lambda}V_{1}(x){\mid}u{\mid}^{q(x)-2}u\;in\;{\Omega},\\u\;=\;{\Delta}u\;{\Delta}^{2}u\;=\;0\;on\;{\partial}\Omega, $$ under adequate conditions on the exponent functions p, q and the weight function V1. We prove the existence and nonexistence of eigenvalues for p(x)-triharmonic problem with Navier boundary value conditions on a bounded domain in ℝN. Our technique is based on variational approaches and the theory of variable exponent Lebesgue spaces.

Analysis of the association between bronchial hyperresponsiveness and genetic polymorphism of β2-adrenoceptor in adolescents with long-term asthma remission (장기간 천식 관해 청소년에서 지속되는 기관지 과민성과 β2-아드레날린 수용체 유전자 다형과의 연관성 분석)

  • Kang, Hee;Koh, Young Yull
    • Clinical and Experimental Pediatrics
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    • v.50 no.6
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    • pp.556-564
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    • 2007
  • Purpose : We hypothesized that the persisting bronchial hyperresponsiveness (BHR) of adolescents with asthma remission may be controlled mainly by genetic factors, and the BHR of symptomatic asthma by airway inflammation. ${\beta}_2$-adrenoceptor gene is considered to be a candidate gene in the development of BHR. Thus, ${\beta}_2$-adrenoceptor gene polymorphism may be associated with the BHR of adolescents with asthma remission, but not with the BHR of symptomatic asthma. To evaluate this hypothesis, ${\beta}_2$-adrenoceptor gene polymorphism at 2 sites (Arg16-Gly, Gln27-Glu) were examined. Methods : Two hundred two adolescents with BHR ($PC_{20}<18\;mg/mL$) and long term remission (neither asthma-related symptoms nor medication during the previous 2 years) of their asthma (remission group), 182 adolescents with symptomatic asthma (symptomatic group), and 200 healthy adolescents (control group) were studied. Asthma phenotypes were determined using methacholine bronchial provocation test and skin prick test. Genotypes of ${\beta}_2$-adrenoceptor polymorphism were evaluated by PCR-based methods. Results : Gly/Gly allele and Gly16-Gln27 haplotype were more prevalent in the remission group than in the control group (P=0.01, P=0.02), although there was no difference between the symptomatic group and the control group. In the remission group, there was significant difference in geometric mean of $PC_{20}$ among the 3 groups subdivided by the number of Gly16-Gln27 haplotype, showing that the Gly16-Gln27 haplotype was positively associated with BHR. However, no association was found between Gly16-Gln27 haplotype and BHR in the symptomatic group. Conclusion : This study demonstrates that ${\beta}_2$-adrenoceptor polymorphism at amino acid 16 and 27 was associated with BHR persisting in adolescents with asthma remission.

The Influence of Spirituality, Meaning in Life and Hospice Perception on Attitudes towards Terminal Care in Nursing Students (간호대학생의 영성, 생의 의미, 호스피스 인식 정도가 임종간호태도에 미치는 영향)

  • Sim, Mi-Kyung;Park, Jeong-Mo
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.18 no.7
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    • pp.290-299
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    • 2017
  • This study was conducted to evaluate the spirituality, perceived meaning in life, hospice perception, and attitudes towards terminal care among nursing students, as well as to identify the relationships between variables and examine factors influencing their attitudes towards terminal care. Data were collected using a self-reported questionnaire completed by 308 nursing students at two universities from April 11, 2017 to April 17, 2017. Data were analyzed using descriptive analysis, a t-test, Pearson's correlation coefficients and stepwise multiple regression with the SPSS/Win 14.0 program. Attitudes toward terminal care among nursing students were significantly correlated with hospice perception(r=0.30, p<0.001) and meaning in life(r=0.30, p<0.001). Meaning in life among nursing students was significantly correlated with hospice perception(r=0.25, p<0.01) and spirituality(r=0.53, p<0.01). The significant predictors of the attitudes towards terminal care in nursing students were hospice perception(${\beta}=0.40$, p<0.001) and meaning in life(${\beta}=0.27$, p<0.001). Hospice perception explained 22.7% and meaning in life explained 5.0% of the variance. These variables explained 27.7% of the variance in attitudes toward terminal care. Overall, these findings suggest that the terminal care education program, including hospice perception and meaning in life, is necessary to enhance the positive attitude toward terminal care among nursing students.

The Influential Factors on Premenstrual Syndrome College Female Students (여대생의 월경전증후군에 영향을 미치는 요인)

  • Jung, Geum-Sook;Oh, Hyun-Mi;Choi, In-Ryoung
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.15 no.5
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    • pp.3025-3036
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    • 2014
  • This study was conducted to figure out the influential factors on premenstrual syndrome(PMS) of college female students which are to be utilized as the basic data to develop and apply programs for preventing and controlling such symptom. The subjects were 330 college female students. The data were collected from April 2, 2012 to April 6, 2012. From the results, There has been significant correlation between stress and PMS(r=.36, p<.001) and the attitude to menstruation has appeared to have significant positive correlation with PMS as well(r=.34, p<.001). Multiple regression analysis has been employed to identify the influential factors on PMS and the result has shown that menstrual attitude, grade point average for stress, smoking and dysmenorrhea have been the most significant influential factors with 27% of explanatory power. The level of significance has been high in menstrual attitude(${\beta}$=.28, p<.001), grade point average for stress(${\beta}$=.27, p<.001), smoking(${\beta}$=.20, p<.001) and dysmenorrhea(${\beta}$=.15, p<.001) respectively. In conclusion, it needs to find nursing interventions for PMS related to psychosocial factors and suggest a narrative study for improving quality of life of women with PMS.

Factors Influencing the Retention Intention of Nurses in General Hospital Nurses (종합병원 간호사의 재직의도에 영향을 미치는 요인)

  • Kim, Yu-Mi;Seo, Minjeong
    • Journal of Digital Convergence
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    • v.18 no.12
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    • pp.377-387
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    • 2020
  • The purpose of this study is a descriptive research study to identify the emotional labor, ethical climate, job satisfaction, and retention intention of nurses in general hospitals, and to identify the relationship between variables and factors influencing the retention intention. The study subjects were 198 nurses working in four general hospitals, and data were collected from September 18 to September 30, 2019 using a structured questionnaire. The collected data were analyzed by t-test, ANOVA, Pearson's correlation coefficients, and multiple regression using SPSS WIN 25.0. As a result of the study, there was a positive correlation between ethical climate(r=.345, p<.001) and job satisfaction(r=.388, p<.001), but emotional labor (r=-.153, p=.031) showed negative correlation. Factors influencing the retention intention of general hospital nurses are job satisfaction(β=.27, p=.001), age(β=.27, p<001), ethical climate(β=.16, p=044), and the explanatory power of the variable was 24.2%. In order to increase the retention intention of general hospital nurses, it is necessary to increase job satisfaction and create a sound ethical climate, and to develop an intervention program that can increase the retention intention by age.

The Activation of Stress-induced Heat Shock Protein 27 and the Relationship of Physical Therapy (스트레스-유도 열충격단백질 27(Heat Shock Protein 27)의 활성과 물리치료의 상관성)

  • Kim, Mi-Sun;Lee, Sung-Ho;Kim, Il-Hyun;Hwang, Byong-Yong;Kim, Jung-Hwan
    • The Journal of Korean Physical Therapy
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    • v.20 no.1
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    • pp.57-65
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    • 2008
  • Purpose: Heat shock proteins (HSPs) are a group of proteins that are activated when cells are exposed to a variety of environmental stresses, such as infection, inflammation, exposure to toxins, starvation, hypoxia, brain injury, or water deprivation. The activation of HSPs by environmental stress plays a key role in signal transduction, including cytoprotection, molecular chaperone, anti-apoptotic effect, and anti-aging effects. However, the precise mechanism for the action of small HSPs, such as HSP27 and mitogen-activated protein kinases (MAPKs: extracellular-regulated protein kinase 1/2 (ERK1/2), p38MAPK, stress-activated protein kinase/c-Jun N-terminal kinase (SAPK/JNK), is not completely understood, particularly in application of cell stimulators including platelet-derived growth factor (PDGF), angiotensin II (AngII), tumor necrosis factor $\alpha$ (TNF$\alpha$), and $H_2O_2$. This study examined the relationship between stimulators-induced enzymatic activity of HSP27 and MAPKs from rat smooth and skeletal muscles. Methods: 2-dimensional electrophoresis (2DE) and matrix assisted laser desorption ionizationtime-of-flight/time-of-flight (MALDI-TOF/TOF) analysis were used to identify HSP27 from the intact vascular smooth and skeletal muscles. Three isoforms of HSP27 were detected on silver-stained gels of the whole protein extracts from the rat aortic smooth and skeletal muscle strips. Results: The expression of PDGF, AngII, TNF$\alpha$, and $H_2O_2$-induced activation of HSP27, p38MAPK, ERK1/2, and SAPK/JNK was higher in the smooth muscle cells than the control. SB203580 (30${\mu}$M), a p38MAPK inhibitor, increased the level of HSP27 phosphorylation induced by stimulators in smooth muscle cells. Furthermore, the age-related and starvation-induced activation of HSP27 was higher in skeletal muscle cells (L6 myoblast cell lines) and muscle strips than the control. Conclusion: These results suggest, in part, that the activity of HSP27 and MAPKs affect stressors, such as PDGF, AngII, TNF$\alpha$, $H_2O_2$, and starvation in rat smooth and skeletal muscles. However, more systemic research will be needed into physical therapy, including thermotherapy, electrotherapy, radiotherapy and others.

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Properties of a Fibrinolytic Enzyme Secreted by Bacillus amyloliquefaciens RSB34, Isolated from Doenjang

  • Yao, Zhuang;Liu, Xiaoming;Shim, Jae Min;Lee, Kang Wook;Kim, Hyun-Jin;Kim, Jeong Hwan
    • Journal of Microbiology and Biotechnology
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    • v.27 no.1
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    • pp.9-18
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    • 2017
  • Nine bacilli with fibrinolytic activities were isolated from doenjang, a traditional Korean fermented soy food. Among them, RSB34 showed the strongest activity and was identified as Bacillus amyloliquefaciens by 16S rRNA and recA gene sequencing. During growth on LB up to 96 h, RSB34 showed the highest fibrinolytic activity ($83.23mU/{\mu}l$) at 48 h. Three bands of 23, 27, and 42 kDa in size were observed when the culture supernatant was analyzed by SDS-PAGE and 27 and 42 kDa bands by fibrin zymography. The gene encoding the 27 kDa fibrinolytic enzyme AprE34 was cloned by PCR. BLAST analyses confirmed that the gene was a homolog to genes encoding AprE-type proteases. aprE34 was overexpressed in Escherichia coli BL21(DE3) using pET26b(+). Recombinant AprE34 was purified and examined for its properties. The $K_m$ and $V_{max}$ values of recombinant AprE34 were $0.131{\pm}0.026mM$ and $16.551{\pm}0.316{\mu}M/l/min$, respectively, when measured using an artificial substrate, N-succinyl-ala-ala-pro-phe-p-nitroanilide. aprE34 was overexpressed in B. subtilis WB600 using pHY300PLK. B. subtilis transformants harboring pHYRSB34 (pHY300PLK with aprE34) showed higher fibrinolytic activity than B. amyloliquefaciens RSB34.

HSV-1 ICP27 represses NF-κB activity by regulating Daxx sumoylation

  • Kim, Ji Ae;Choi, Mi Sun;Min, Jung Sun;Kang, Inho;Oh, Jeongho;Kim, Jin Chul;Ahn, Jeong Keun
    • BMB Reports
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    • v.50 no.5
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    • pp.275-280
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    • 2017
  • Herpes simplex virus type 1 ICP27 is a multifunctional protein responsible for viral replication, late gene expression, and reactivation from latency. ICP27 interacts with various cellular proteins, including Daxx. However, the role of interaction between ICP27 and Daxx is largely unknown. Since Daxx is known to repress $NF-{\kappa}B$ activity, there is a possibility that ICP27 may influence the inhibitory effect of Daxx on $NF-{\kappa}B$ activity. In this study, we tested whether ICP27 affects the $NF-{\kappa}B$ activity through its interaction with Daxx. Interestingly, ICP27 enhanced the Daxx-mediated repression of $NF-{\kappa}B$ activity. In addition, we found that sumoylation of Daxx regulates its interaction with p65. ICP27 binds to Daxx, inhibits Daxx sumoylation, and enhances p65 deacetylation induced by Daxx. Consequently, ICP27 represses the $NF-{\kappa}B$ activity, by elevating the inhibitory effect of Daxx on $NF-{\kappa}B$ activity through desumoylation of Daxx.