Essays about: "Hölder continuity"

Found 1 essay containing the words Hölder continuity.

  1. 1. Lebesgue points, Hölder continuity and Sobolev functions

    University essay from Matematiska institutionen

    Author : John Karlsson; [2009]
    Keywords : Lebesgue point; Hausdorff dimension; Hausdorff measure; Hölder continuity; Maximal function; Poincaré inequality; Sobolev space; Uniform continuity;

    Abstract : This paper deals with Lebesgue points and studies properties of the set of Lebesgue points for various classes of functions. We consider continuous functions, L1 functions and Sobolev functions. In the case of uniformly continuous functions and Hölder continuous functions we develop a characterization in terms of Lebesgue points. READ MORE