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Linear invariance and extension operators of Pfaltzgraff-Suffridge type pfaltzgraff_suffridge型的线性不变性和扩展算子
Pub Date : 2022-06-08 DOI: 10.24193/subbmath.2022.2.06
Jerry R. Muir
"We consider the image of a linear-invariant family $mathcal{F}$ of normalized locally biholomorphic mappings defined in the Euclidean unit ball $B_n$ of $C^n$ under the extension operator $$Phi_{n,m,beta}[f](z,w) = mleft( f(z), [Jf(z)]^beta wmright), quad (z,w) in B_{n+m} subseteq C^n times C^m,$$ where $beta in C$, $Jf$ denotes the Jacobian determinant of $f$, and the branch of the power function taking $0$ to $1$ is used. When $beta=1/(n+1)$ and $m=1$, this is the Pfaltzgraff--Suffridge extension operator. In particular, we determine the order of the linear-invariant family on $B_{n+m}$ generated by the image in terms of the order of $mathcal{F}$, taking note that the resulting family has minimum order if and only if either $beta in (-1/m,1/(n+1)]$ and the family $mathcal{F}$ has minimum order or $beta=-1/m$. We will also see that order is preserved when generating a linear-invariant family from the family obtained by composing $mathcal{F}$ with a certain type of automorphism of $C^n$, leading to consequences for various extension operators including the modified Roper--Suffridge extension operator introduced by the author."
“我们考虑一个线性不变族的像 $mathcal{F}$ 在欧几里德单位球上定义的归一化局部生物全纯映射 $B_n$ 的 $C^n$ 在分机接线员下 $$Phi_{n,m,beta}[f](z,w) = mleft( f(z), [Jf(z)]^beta wmright), quad (z,w) in B_{n+m} subseteq C^n times C^m,$$ 在哪里 $beta in C$, $Jf$ 表示的雅可比行列式 $f$,幂函数的支路取 $0$ 到 $1$ 使用。什么时候 $beta=1/(n+1)$ 和 $m=1$我是普法兹格拉夫——萨福里奇分机接线员。特别地,我们确定了上的线性不变族的阶 $B_{n+m}$ 生成的图像按的顺序 $mathcal{F}$,注意所得到的族具有最小序当且仅当两者之一 $beta in (-1/m,1/(n+1)]$ 还有家庭 $mathcal{F}$ 有最小订单或 $beta=-1/m$. 我们还将看到,当由组合得到的族生成线性不变族时,顺序是保留的 $mathcal{F}$ 具有某种类型的自同构 $C^n$,导致各种扩展运营商的后果,包括作者介绍的改进的Roper- Suffridge扩展运营商。”
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引用次数: 0
Multiplicity theorems involving functions with non-convex range 涉及非凸值域函数的多重性定理
Pub Date : 2022-05-03 DOI: 10.24193/subbmath.2023.1.09
B. Ricceri
"Here is a sample of the results proved in this paper: Let $f:{bf R}to {bf R}$ be a continuous function, let $rho>0$ and let $omega:[0,rho[to [0,+infty[$ be a continuous increasing function such that $$limlimits_{xito rho^-}dsint_0^{xi}omega(x)dx=+infty.$$ Consider $C^0([0,1])times C^0([0,1])$ endowed with the norm $$|(alpha,beta)|=int_0^1|alpha(t)|dt+int_0^1|beta(t)|dt.$$ Then, the following assertions are equivalent: noindent $(a)$ the restriction of $f$ to $left [-{{sqrt{rho}}over {2}},{{sqrt{rho}}over {2}} right ]$ is not constant; noindent $(b)$ for every convex set $Ssubseteq C^0([0,1])times C^0([0,1])$ dense in $C^0([0,1])times C^0([0,1])$, there exists $(alpha,beta)in S$ such that the problem $$left{begin{array}{l} -omegaleft(displaystyleint_0^1|u'(t)|^2dtright)u'' =beta(t)f(u)+alpha(t) mbox{ in } [0,1] u(0)=u(1)=0 displaystyleint_0^1|u'(t)|^2dt
设$f:{bf R}to {bf R}$为连续函数,设$rho>0$和$omega:[0,rho[to [0,+infty[$为连续递增函数,使得$$limlimits_{xito rho^-}dsint_0^{xi}omega(x)dx=+infty.$$认为$C^0([0,1])times C^0([0,1])$具有范数$$|(alpha,beta)|=int_0^1|alpha(t)|dt+int_0^1|beta(t)|dt.$$,则下列断言等价:noindent$(a)$$f$对$left [-{{sqrt{rho}}over {2}},{{sqrt{rho}}over {2}} right ]$的限制不是常数;noindent$(b)$对于每个在$C^0([0,1])times C^0([0,1])$中密集的凸集$Ssubseteq C^0([0,1])times C^0([0,1])$,存在$(alpha,beta)in S$使得问题$$left{begin{array}{l} -omegaleft(displaystyleint_0^1|u'(t)|^2dtright)u'' =beta(t)f(u)+alpha(t) mbox{ in } [0,1] u(0)=u(1)=0 displaystyleint_0^1|u'(t)|^2dt
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引用次数: 3
Does Female Education Generate Economic Growth? An Empirical Analysis of Western Balkan Countries 女性教育能促进经济增长吗?西巴尔干国家的实证分析
Pub Date : 2022-04-01 DOI: 10.2478/subboec-2022-0001
Yvesa Jusaj, Besnik Fetai
Abstract This paper investigates the relationship between female education and economic growth in Western Balkan countries during the period 2000-2019. The motive behind choosing Western Balkan countries was because there is insufficient research that has been made in this field of study; hence, this research assists to expand the issue of this topic. By using GDP as dependent variable, the paper addresses the question whether female education generates or not economic growth. The techniques applied for this study are OLS, fixed and random effects, and Hausman-Taylor model IVs. The findings show a positive relationship between GDP per capita, female labor participation, school enrollment primary, and literacy rate. On the other hand, there exists a negative relationship with fertility rate, while the school enrollment tertiary is statistically insignificant. This paper brings evidence that female education generates more economic growth in Western Balkan countries. Therefore, the Government of the Western Balkans should take into consideration to invest more on education of the woman in those countries. These in turn will lead to higher economic growth.
本文研究了2000-2019年西巴尔干国家女性教育与经济增长的关系。之所以选择西巴尔干国家,是因为在这一研究领域的研究不足;因此,本研究有助于扩大本课题的问题。本文以GDP为因变量,探讨了女性教育是否促进经济增长的问题。本研究采用的技术有OLS、固定和随机效应、Hausman-Taylor模型iv。研究结果显示,人均GDP、女性劳动参与率、小学入学率和识字率之间存在正相关关系。另一方面,与生育率呈负相关,而入学率与生育率的关系不显著。本文提供的证据表明,女性教育促进了西巴尔干国家的经济增长。因此,西巴尔干各国政府应考虑对这些国家的妇女教育进行更多的投资。这些反过来又会带来更高的经济增长。
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引用次数: 0
The Relative Success of IFRS Adopted African Countries to Attract Foreign Investment 非洲国家采用国际财务报告准则吸引外资的相对成功
Pub Date : 2022-04-01 DOI: 10.2478/subboec-2022-0004
M. Oberholzer, Matthew Olubayo Omotoso, D. Schutte, Pieter Buys
Abstract Within the context that the adoption of International Financial Reporting Standards (IFRS) can be linked to institutional isomorphism, the purpose of the study was to determine how successful IFRS-adopted African countries are to convert governance and economic factors into foreign direct investment (FDI) and foreign portfolio investment (FPI). Data envelopment analysis (DEA) was used to develop two models to calculate the technical efficiency (TE) for 16 African countries that adopted IFRS (2014-2019). The first model considered how multiple economic factors as input variables are converted into FDI and FPI, while similarly, the second model considered governance factors as input variables.
在采用国际财务报告准则(IFRS)可以与制度同构联系在一起的背景下,本研究的目的是确定采用国际财务报告准则的非洲国家如何成功地将治理和经济因素转化为外国直接投资(FDI)和外国证券投资(FPI)。使用数据包络分析(DEA)开发了两个模型来计算采用国际财务报告准则(2014-2019)的16个非洲国家的技术效率(TE)。第一个模型考虑了作为输入变量的多个经济因素如何转化为FDI和FPI,而第二个模型同样考虑了治理因素作为输入变量。
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引用次数: 1
Human Capital Development and Sustainable Development: Evidence from Nigeria 人力资本开发与可持续发展:来自尼日利亚的证据
Pub Date : 2022-04-01 DOI: 10.2478/subboec-2022-0005
J. Olowookere, W. Olanipekun, Gbenro Matthew Sokunbi, T. Aderemi
Abstract The contributions of human capital development in achieving the sustainable development cannot be overemphasized in any economy, this is because investment in education and health has been argued as the strategic impetus for improving the quality of human resources. Against this backdrop, this study investigates the impact of human capital development on the sustainable development goal one (1) – poverty reduction. The study utilizes the Nigerian data combining Johansen Cointegration test, Granger causality test and Fully Modified Least Squares to establish how public investments in both education and health affect poverty reduction in the country between 1981 and 2019. Originating from the findings of this study, both government expenditure on health and capital formation Granger caused poverty reduction in Nigeria. This is a vital signal that human capital development in the form of investment in health of human resources is an important condition for the achievement of the sustainable development goal one (1) – poverty eradication in Nigeria. Similarly, all the selected components of human capital development have positive contributions to poverty reduction in Nigeria. However, the contributions of health expenditures and capital formation are statistically significant. This implies that health expenditures and capital formation have a trickle-down effect on poverty reduction in Nigeria. Therefore, this study recommends the following: any time the Nigerian policymakers want to achieve the sustainable development goal one (1) – poverty reduction, the Nigerian budgetary allocations to education and health sectors should be in tandem with the global benchmark; this would ensure material and human resources that could drive the country towards the sustainable development. The enhancement of educational and health facilities by the policymakers would also bring about improvement in the living standard of the Nigerians.
人力资本开发对实现可持续发展的贡献在任何经济体中都不能过分强调,这是因为教育和卫生投资一直被认为是提高人力资源质量的战略动力。在此背景下,本研究考察了人力资本开发对可持续发展目标一(1)——减少贫困的影响。该研究利用尼日利亚的数据,结合约翰森协整检验、格兰杰因果检验和完全修正最小二乘检验,以确定1981年至2019年期间教育和卫生方面的公共投资如何影响该国的减贫。根据这项研究的结果,政府卫生支出和资本形成格兰杰都导致了尼日利亚的减贫。这是一个重要的信号,表明以人力资源健康投资形式进行的人力资本开发是实现尼日利亚可持续发展目标一(1)——消除贫困——的重要条件。同样,人力资本发展的所有选定组成部分都对尼日利亚的减贫作出了积极贡献。然而,卫生支出和资本形成的贡献在统计上是显著的。这意味着卫生支出和资本形成对尼日利亚的减贫具有涓滴效应。因此,本研究建议:每当尼日利亚决策者希望实现可持续发展目标一(1)——减少贫困时,尼日利亚对教育和卫生部门的预算拨款应与全球基准保持一致;这将确保能够推动国家走向可持续发展的物质和人力资源。决策者加强教育和卫生设施也将提高尼日利亚人的生活水平。
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引用次数: 3
Capitalization of Human Skills and Competencies – An Exploratory Model 人类技能和能力的资本化——一个探索性模型
Pub Date : 2022-04-01 DOI: 10.2478/subboec-2022-0003
Zahia Bouzida, Nadir Malek, S. Ghomari
Abstract The paper aims to synthesize the lessons learned from the analysis of the ISO 9001 quality management system standard. The objective is twofold: first, to understand the role of human capital in the conduct and success of an innovation project within a company, and secondly, to explain the simultaneous effect of this dynamic on the emergence of innovative behaviors. An exploratory study is established with the personnel of the first ISO certified company in Algeria and the proposed hypotheses are tested by the partial least squares structural equation modeling (PLS-sem) method. Analysis of the results show that by acting on certain mechanisms, these standards can be assimilated to a catalog of data that can be utilized to encourage and promote the construction and development of skills and competencies. The findings allow us to better understand the nature of the relationship that may exist between skills management and the quality approach.
摘要本文旨在综合分析iso9001质量管理体系标准的经验教训。目标有两个:首先,了解人力资本在公司内部创新项目的实施和成功中的作用,其次,解释这种动态对创新行为出现的同步影响。对阿尔及利亚第一家ISO认证公司的人员进行了探索性研究,并通过偏最小二乘结构方程建模(PLS-sem)方法对提出的假设进行了检验。对结果的分析表明,通过对某些机制采取行动,这些标准可以被同化为可用于鼓励和促进技能和能力的建设和发展的数据目录。这些发现使我们能够更好地理解技能管理和质量方法之间可能存在的关系的本质。
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引用次数: 0
Bounds for blow-up time in a semilinear parabolicproblem with variable exponents 变指数半线性抛物问题爆破时间的界
Pub Date : 2022-03-10 DOI: 10.24193/subbmath.2022.1.13
Abita Rahmoune, B. Benabderrahmane
This report deals with a blow-up of the solutions to a class of semilinear parabolic equations with variable exponents nonlinearities. Under some appropriate assumptions on the given data, a more general lower bound for a blow-up time is obtained if the solutions blow up. This result extends the recent results given by Baghaei Khadijeh et al. cite{Baghaei}, which ensures the lower bounds for the blow-up time of solutions with initial data $varphileft( 0right) =int_{Omega }u_{0}{}^{k}dx$, $k$ = constant.
本文讨论了一类非线性变指数半线性抛物型方程解的爆破问题。在给定数据的适当假设下,如果解爆破,则得到爆破时间的一个更一般的下界。该结果推广了Baghaei Khadijeh et al. cite{Baghaei}最近给出的结果,该结果保证了初始数据$varphileft( 0right) =int_{Omega }u_{0}{}^{k}dx$, $k$ =常数时解的爆破时间下界。
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引用次数: 2
A relaxed version of the gradient projection method for variational inequalities with applications 变分不等式的梯度投影法的简化版及其应用
Pub Date : 2022-03-10 DOI: 10.24193/subbmath.2022.1.06
N. T. Vinh, N. T. Thuong
"In this paper, we propose a relaxed version of the gradient projection method for strongly monotone variational inequalities de ned on a level set of a (possibly non-di erentiable) convex function. Our algorithm can be implemented easily since it computes on every iteration one projection onto some half-space containing the feasible set and only one value of the underlying mapping. Under mild and standard conditions we establish the strong convergence of the proposed algorithm. Numerical results and comparisons for the image deblurring problem show that our method can outperform related algorithms in the literature."
在本文中,我们提出了一种松弛版的梯度投影方法,用于在一个(可能不可微的)凸函数的水平集上定义的强单调变分不等式。我们的算法可以很容易地实现,因为它在每次迭代中计算一个投影到包含可行集和底层映射的一个值的半空间上。在温和和标准条件下,证明了算法的强收敛性。数值结果和图像去模糊问题的比较表明,我们的方法优于文献中的相关算法。
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引用次数: 1
Hermite-Hadamard type inequalities for F-convex functions involving generalized fractional integrals 包含广义分数阶积分的f -凸函数的Hermite-Hadamard型不等式
Pub Date : 2022-03-10 DOI: 10.24193/subbmath.2022.1.11
H. Budak, M. Ali, A. Kashuri
"In this paper, we rstly summarize some properties of the family F and F-convex functions which are de ned by B. Samet. Utilizing generalized fractional integrals new Hermite-Hadamard type inequalities for F-convex functions have been provided. Some results given earlier works are also as special cases of our results."
本文首先总结了B. Samet提出的F族和F-凸函数的一些性质。利用广义分数积分,给出了f -凸函数的新的Hermite-Hadamard型不等式。前人给出的一些结果也可以作为我们研究结果的特例。
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引用次数: 0
Characterizations of hilbertian norms involving the areas of triangles in a smooth space 光滑空间中涉及三角形面积的希尔伯特范数的刻画
Pub Date : 2022-03-10 DOI: 10.24193/subbmath.2022.1.10
T. Precupanu
In the previous paper, we have defined together with I. Ionicu{a} the heights of a nontrivial triangle with respect to Birkhoff orthogonality in a real smooth space $X$, $mbox{dim}, Xgeq 2.$ In the present paper, we remark that, generally, the area of a nontrivial triangle in $X$ has not the same value for different heights of the triangle. The purpose of this paper is to characterize the norm of $X$ if this space has the property that the area of any triangle is well defined (independent of considered height). In this line we give five equivalent properties using the directional derivative of the norm. If $X$ is strictly convex and $mbox{dim} Xgeq 3$, then each of these five properties characterizes the hilbertian norms (generated by inner products).
在上一篇文章中,我们与I. Ionic u{a}定义了实光滑空间中关于Birkhoff正交的非平凡三角形的高度$X$, $mbox{dim}, Xgeq 2.$。在这篇文章中,我们注意到,在$X$中,对于三角形的不同高度,非平凡三角形的面积通常是不相同的。本文的目的是描述$X$的范数,如果这个空间具有任何三角形的面积是定义好的(与考虑的高度无关)的性质。在这一行中,我们用范数的方向导数给出了五个等价的性质。如果$X$是严格凸的,$mbox{dim} Xgeq 3$是严格凸的,那么这五个性质中的每一个都表征了希尔伯特范数(由内积生成)。
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引用次数: 0
期刊
Studia Universitatis BabesBolyai Geologia
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