Search for dissertations about: "Riesz potential"

Showing result 1 - 5 of 8 swedish dissertations containing the words Riesz potential.

  1. 1. Riesz potentials and Riesz transforms in local Lp-spaces

    Author : Johan Thim; Nils Dencker; Linköpings universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP;

    Abstract : We consider the following equation for the Riesz potential of order one:The analysis is done in local Lp and Sobolev spaces, where the topologies are described by a family of semi-norms depending on a positive real parameter. Uniqueness and existence results are proved and asymptotic properties of solutions near the origin are established. READ MORE

  2. 2. Reproducing kernels and potential theory for the Bergman spaces

    Author : Yolanda Perdomo Gallipoli; Matematikcentrum; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; weighted biharmonic Green function Gaussian curvature; Naturvetenskap; harmonic compensator; Natural science; weighted super-biharmonic function; potential metric; mean value property; weighted Bergman kernel;

    Abstract : The role of weighted biharmonic Green functions in weighted Bergman spaces was first studied in the beginning of the 50's by Paul Garabedian. In 1951 he showed that they are closely related to reproducing kernel functions of weighted Bergman spaces. READ MORE

  3. 3. Boundedness of some linear operators in various function spaces

    Author : Evgeniya Burtseva; Lech Maligranda; Leszek Skrzypczak; Luleå tekniska universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; Applied Mathematics; Tillämpad matematik;

    Abstract : This PhD thesis is devoted to boundedness of some classical linear operators in various function spaces. We prove boundedness of weighted Hardy type operators and the weighted Riesz potential in Morrey—Orlicz spaces. Furthermore, we consider central Morrey—Orlicz spaces and prove boundedness of the Riesz potential in these spaces. READ MORE

  4. 4. Operators and Inequalities in various Function Spaces and their Applications

    Author : Evgeniya Burtseva; Natasha Samko; Lars-Erik Persson; Peter Wall; Alexey Karapetyants; Luleå tekniska universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics;

    Abstract : This Licentiate thesis is devoted to the study of mapping properties of different operators (Hardy type, singular and potential) between various function spaces.The main body of the thesis consists of five papers and an introduction, which puts these papers into a more general frame. READ MORE

  5. 5. Carleman-Sobolev classes and Green’s potentials for weighted Laplacians

    Author : Behm Gustav; Håkan Hedenmalm; Jana Björn; KTH; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; Matematik; Mathematics;

    Abstract : This thesis is based on two papers: the first one concerns Carleman-Sobolev classes for small exponents and the other solves Poisson's equation for the standard weighted Laplacian in the unit disc.In the first paper we start by noting that for small Lp-exponents, i.e. 0∞(R). READ MORE