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1. Bernstein’s analyticity theorem for quantum differences

Creator:
Sjödin, Tord
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
difference, quantum difference, quantum derivative, and power series
Language:
English
Description:
We consider real valued functions $f$ defined on a subinterval $I$ of the positive real axis and prove that if all of $f$’s quantum differences are nonnegative then $f$ has a power series representation on $I$. Further, if the quantum differences have fixed sign on $I$ then $f$ is analytic on $I$.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

2. Demographie and social correlates of suicide in the Czech Republic

Creator:
Dzúrová, Dagmar, Ruzicka, Lado, and Dragomirecká, Eva
Format:
print
Type:
model:internalpart and TEXT
Subject:
suicide, difference, gender, age, and marital status
Language:
Czech
Description:
In this article the authors review the trends and differentials in mortality from self-inflicted injury and poisoning in the Czech Republic between the early 1970s and the present in terms of their socio-economic and demographic associations. They describe the sources of data on suicide and explore the possible extent of under-reporting of deaths from suicide, and they examine the differences in suicide incidence by age and sex. With the decline in mortality from suicide, the male/female ratio of suicide rates increased from about 2,6 in the early 1970s to around 4.0 in recent years. Suicide rates increase steadily with age, and this pattern did not noticeably change during the period reviewed, The age-specific suicide rates of older men and women declined more than the rates for younger people. As in other societies, married men and women have the lowest suicide rates; in contrast, divorce puts both men and women at the greatest risk of suicide. The authors attempt to investigate the social correlates of suicide by analysing the variation in suicide rates among districts in the Czech Republic and selected socio-economic and demographic characteristics of the district populations. Stepwise regression analysis is used to identify three independent variables that explain 50% of the variation in suicide rates among districts: the abortion ratio, the percentage of locally born population, and the percentage of adults with limited education.
Rights:
http://creativecommons.org/licenses/by-nc-sa/4.0/ and policy:public

3. Differences of weighted composition operators from Hardy space to weighted-type spaces on the unit ball

Creator:
Zhou, Ze-Hua and Liang, Yu-Xia
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
weighted composition operator, Hardy space, weighted Bergman space;, essential norm, compact, and difference
Language:
English
Description:
In this paper, we limit our analysis to the difference of the weighted composition operators acting from the Hardy space to weighted-type space in the unit ball of $\mathbb {C}^N$, and give some necessary and sufficient conditions for their boundedness or compactness. The results generalize the corresponding results on the single weighted composition operators and on the differences of composition operators, for example, M. Lindström and E. Wolf: Essential norm of the difference of weighted composition operators. Monatsh. Math. 153 (2008), 133-143.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

4. Essential norm of the difference of composition operators on Bloch space

Creator:
Yang, Ke-Ben and Zhou, Ze-Hua
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
{\it Bloch} space, composition operator, essential norm, difference, and compactness
Language:
English
Description:
Let $\varphi $ and $\psi $ be holomorphic self-maps of the unit disk, and denote by $C_\varphi $, $C_\psi $ the induced composition operators. This paper gives some simple estimates of the essential norm for the difference of composition operators $C_\varphi -C_\psi $ from Bloch spaces to Bloch spaces in the unit disk. Compactness of the difference is also characterized.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

5. Properties of differences of meromorphic functions

Creator:
Chen, Zong-Xuan and Zhon, Kwang Ho
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
meromorphic function, difference, divided difference, zero, and fixed point
Language:
English
Description:
Let $f$ be a transcendental meromorphic function. We propose a number of results concerning zeros and fixed points of the difference $g(z)=f(z+c)-f(z)$ and the divided difference $g(z)/f(z)$.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public