Search for dissertations about: "Hardy space"

Showing result 6 - 10 of 20 swedish dissertations containing the words Hardy space.

  2. 6. Studies of some Operators of Harmonic Analysis in certain Function Spaces with Applications to PDEs

    Author : Staffan Lundberg; Norway Narvik UiT The Arctic University of Norway Department of Computer Science and Computational Engineering Faculty of Science and Technology; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Operators; Hardy Operators; Potential Operators; Singular Operators; Function Spaces; Morrey Spaces; H¨older Spaces; Partial Differential Equations; Inequalities; Hardy Type Inequalities; Weights; Applications; Matematik; Mathematics;

    Abstract : The study in this PhD thesis aims at development of certain mathematical methods used in applications, in particular, in the study of regularity properties of solutions in various mathematical models described by Partial Differential Equations (PDEs). To this end, we study various operators of harmonic analysis in certain function spaces, since solutions to many PDEs may be expressed in terms of such operators. READ MORE

  4. 7. Invariant Subspaces in Spaces of Analytic Functions

    Author : Ali Abkar; Matematik (naturvetenskapliga fakulteten); []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; functional analysis; Series; Fourier analysis; weighted Bergman space.; super-biharmonic function; quasi-Banach space of analytic functions; index; multiplier module homomorphism; multiplier; Banach space of analytic functions; hyperinvariant subspace; Serier; fourieranalys; funktionsanalys;

    Abstract : Let D be a finitely connected bounded domain with smooth boundary in the complex plane. We first study Banach spaces of analytic functions on D . The main result is a theorem which converts the study of hyperinvariant subspaces on multiply connected domains into the study of hyperinvariant subspaces on domains with fewer holes. READ MORE

  5. 8. Norm inequalities of Hardy and Pólya-Knopp types

    Author : Elena Ushakova; Luleå tekniska universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics;

    Abstract : This PhD thesis consists of an introduction and six papers. All these papers are devoted to Lebesgue norm inequalities with Hardy type integral operators. Three of these papers also deal with so-called Pólya-Knopp type inequalities with geometric mean operators instead of Hardy operators. READ MORE

  6. 9. Removable singularities for Hardy spaces of analytic functions

    Author : Anders Björn; Matts Essén; Linköpings universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : Let Ω ⊂  C be a non-empty open connected set and O < p min {1, p} then K is not removable. Several theorems about removability of sets lying on rectifiable curves and also conditions for removability of some planar self-similar Cantor sets are given... READ MORE

  7. 10. Weighted inequalities involving Riemann-Liouville and Hardy-type operators

    Author : Dmitry V Prokhorov; Luleå tekniska universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Abstract : Necessary and sufficient conditions for the weighted boundedness and compactness of the Riemann-Liouville operators are obtained. Applications to the solvability of the Abel nonlinear integral equations and to embedding theorems of some Besov-type spaces into weighted Lebesgue spaces on the semiaxis are given. READ MORE