The article examines the situation of women-scholars in China, their inequality to compared with men-scholars.
The issue of gender inequality in the Arab world has been attracting public scrutiny for many years. However, the opportunity to analyze it on the basis of a large volume of valid data appeared not long ago due to the “Arab Barometer” project conducted in seven countries of the region. The data show that the youth in the Arab East is more conservative than the older generation despite a higher level of education. At the same time more educated representatives of each age group are more tolerant to the issue of gender equality. The most liberal country is Lebanon, the most conservative one is Yemen.
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.