Search for dissertations about: "Viktor Kolyada"
Found 3 swedish dissertations containing the words Viktor Kolyada.
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1. Embedding Theorems for Mixed Norm Spaces and Applications
Abstract : This thesis is devoted to the study of mixed norm spaces that arise in connection with embeddings of Sobolev and Besov type spaces. The work in this direction originates in a paper due to Gagliardo (1958), and was continued by Fournier (1988) and by Kolyada (2005). We consider fully anisotropic mixed norm spaces. READ MORE
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2. Embedding Theorems for Mixed Norm Spaces and Applications
Abstract : This thesis is devoted to the study of mixed norm spaces that arise in connection with embeddings of Sobolev and Besov type spaces. We study different structural, integrability, and smoothness properties of functions satisfying certain mixed norm conditions. Conditions of this type are determined by the behaviour of linear sections of functions. READ MORE
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3. Functions of Generalized Bounded Variation
Abstract : This thesis is devoted to the study of different generalizations of the classical conception of a function of bounded variation.First, we study the functions of bounded p-variation introduced by Wiener in 1924. We obtain estimates of the total p-variation (1.. READ MORE