Sökning: "Function Spaces"

Visar resultat 11 - 15 av 151 avhandlingar innehållade orden Function Spaces.

  1. 11. Studies in potential theory and function spaces

    Författare :Torbjörn Kolsrud; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : With an emphasis on capacities and fine topologies, some potential theoretic problems are treated in the framework of function spaces of Dirichlet and Sobolev type.We give a new characterization of the Sobolev spaces W0m,p(Ω). LÄS MER

  3. 12. Topics on Function Spaces and Multilinear Algebra

    Författare :Mahdi Hormozi; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : The present thesis consists of three different papers. Indeed, they treat two different research areas: function spaces and multilinear algebra. In paper I, a characterization of continuity of the $p$-$\Lambda$-variation function is given and Helly's selection principle for $\Lambda BV^{(p)}$ functions is established. LÄS MER

  4. 13. Continuity and compositions of operators with kernels in ultra-test function and ultra-distribution spaces

    Författare :Yuanyuan Chen; Joachim Toft; Nenad Teofanov; Linnéuniversitetet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Composition; modulation spaces; positivity; pseudo-differential operators; Schatten-von Neumann operators; twisted convolutions; ultra-distributions; Matematik; Mathematics;

    Sammanfattning : In this thesis we consider continuity and positivity properties of pseudo-differential operators in Gelfand-Shilov and Pilipović spaces, and their distribution spaces. We also investigate composition property of pseudo-differential operators with symbols in quasi-Banach modulation spaces. LÄS MER

  5. 14. Regularity Properties of Oscillatory Integral Operators on Function Spaces

    Författare :Anders Israelsson; Wolfgang Staubach; Malabika Pramanik; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Sammanfattning : We establish regularity results for a variety of oscillatory integral operators, some of which introduced for the first time in this thesis, in general function spaces such as Besov-Lipschitz and Triebel-Lizorkin spaces. These estimates yield new local and global regularity results for evolutionary partial differential equations... LÄS MER

  7. 15. Invariant Subspaces in Spaces of Analytic Functions

    Författare :Ali Abkar; Matematik (naturvetenskapliga fakulteten); []
    Nyckelord :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;

    Sammanfattning : 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. LÄS MER