Sökning: "Robert Algervik"

Hittade 2 avhandlingar innehållade orden Robert Algervik.

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

    Författare :Robert Algervik; Viktor Kolyada; Javier Soria; Karlstads universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; 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

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

    Författare :Robert Algervik; Viktor Kolyada; Lars-Erik Persson; Karlstads universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; 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