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VIDEO LIBRARY |
Conference on the Theory of Functions of Several Real Variables, dedicated to the 90th anniversary of O. V. Besov
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Diverse results concerning Besov and Sobolev spaces G. A. Kalyabin Samara National Research University |
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Abstract: A survey of some author's results covering four decades (1974 – 2014) will be presented including: approaching a constant for functions with finite Besov semi-norm, spaces of functions of generalized smoothness (various descriptions, trace problem, restrictions on Lipschitz domain, capacity estimates); sharp constants in the Kolmogorov, Friedrichs, Poincare and Wirtinger inequalities for Sobolev spaces on the half-line and on the finite segments. |