Потребительский и рекламный рынки: анализ взаимосвязи, состояния и перспектив развития
The article presents the results of the empirical research done by the author in 2010-2012. This research has revealed the importance of advertizing and not advertizing sources of the income of the Russian radio stations.
The most widespread infringements on consumer energy market are analysed in the article. Exemplary components and provisions of relevant types of legal liability are generalised for the purposes of consumer energy market.
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.