Дети в трудной жизненной ситуации: профилактика неблагополучия
We present the basic principles for the development of effective programs for prevention of substance abuse among young people employed in the United States. They are based on the model of “risk factors and protective factors” and suggest a consistent, systematic, coordinated deployment of preventive interventions for children of different ages and in different social contexts (individually, in family, at school, in community). These principles can be useful for transfer of foreign experience on the Russian reality and for development of a new generation of programs for the prevention of substance abuse in Russia. Also, these principles and ideas may be partly extrapolated to develop prevention programs for other social risks.
We consider certain spaces of functions on the circle, which naturally appear in harmonic analysis, and superposition operators on these spaces. We study the following question: which functions have the property that each their superposition with a homeomorphism of the circle belongs to a given space? We also study the multidimensional case.
We consider the spaces of functions on the m-dimensional torus, whose Fourier transform is p -summable. We obtain estimates for the norms of the exponential functions deformed by a C1 -smooth phase. The results generalize to the multidimensional case the one-dimensional results obtained by the author earlier in “Quantitative estimates in the Beurling—Helson theorem”, Sbornik: Mathematics, 201:12 (2010), 1811 – 1836.
We consider the spaces of function on the circle whose Fourier transform is p-summable. We obtain estimates for the norms of exponential functions deformed by a C1 -smooth phase.