Sökning: "Viktor Kolyada"

Hittade 3 avhandlingar innehållade orden Viktor Kolyada.

  1. 1. Embedding Theorems for Mixed Norm Spaces and Applications

    Författare :Robert Algervik; Viktor Kolyada; Lars-Erik Persson; Karlstads universitet; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; mixed norms; embeddings; rearrangements; anisotropic fractional Sobolev spaces; anisotropic Besov spaces; mixade normer; inbäddningar; omarrangeringar; anisotropa fractionära Sobolev rum; anisotropa Besov rum; MATHEMATICS; MATEMATIK; Matematik; Mathematics;

    Sammanfattning : 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. LÄS MER

  2. 2. Embedding Theorems for Mixed Norm Spaces and Applications

    Författare :Robert Algervik; Viktor Kolyada; Javier Soria; Karlstads universitet; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; mixed norms; rearrangements; modulus of continuity; embeddings; Sobolev spaces; Besov spaces; Lorentz spaces; Mathematical analysis; Analys; Matematik; Mathematics;

    Sammanfattning : 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. LÄS MER

  3. 3. Functions of Generalized Bounded Variation

    Författare :Martin Lind; Viktor Kolyada; Peter Oswald; Karlstads universitet; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; bounded p-variation; generalized bounded variation; modulus of continuity; function spaces; embeddings; Matematik; Mathematics;

    Sammanfattning : 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.. LÄS MER