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Information × Registration Number 0213U001029, 0111U000482 , R & D reports Title Geometric, topological and approximate problems of the theory of functions and mappings popup.stage_title Head Ryazanov Vladimir Illich, Registration Date 10-01-2013 Organization Institute of Applied Mathematics and Mechanics of National Academy of Sciences of Ukraine popup.description2 On the basis of new developed methods, new theorems on existence of solutions for the Dirichlet problem to the Beltrami equations with degeneration; estimates of approximation by polynomials of differentiable functions with a prescribed majorant of the continuity module in integral metric; resolution of the problem on inversion of the Pompeiu transform for ball moments; a description of the Pompeiu sets in terms of approximation in Lebesgue spaces; criteria of continuous and homeomorphic extension to the boundary of generalized ring Q-homeomorphisms with respect to p-modulus; criteria of multipliers of Fourie in spaces of Hardy and Lebesgue; a closure theorem and a criterion of compactness for classes of regular solutions to the Beltrami equation with constraints of integral type; theorems of convergence and compactness for the Orlicz-Sobolev classes; a criterion of finite Lipschitz and analogs of inequalities by Vaisala and Poletskii for open and discrete ring Q-mappings with respect to p-modulus. Product Description popup.authors Волчков Валерій Володимирович Гутлянський Володимир Якович Довгоший Олексій Альфредович Ковтонюк Денис Олександрович Коломойцев Юрій Сергійович Кузнецова Ольга Іванівна Моторний Віталій Павлович Очаковська Оксана Олександрівна Салімов Руслан Радікович Севостьянов Євген Олександрович popup.nrat_date 2020-04-02 Close