Search for dissertations about: "weighted Bergman space."

Showing result 1 - 5 of 8 swedish dissertations containing the words weighted Bergman space..

  2. 1. Bergman space methods and integral means spectra of univalent functions

    Author : Alan Sola; Håkan Hedenmalm; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Univalent functions; integral means spectra; Bergman spaces; Algebra; geometry and mathematical analysis; Algebra; geometri och analys;

    Abstract : We study universal integral means spectra of certain classes of univalent functions defined on subsets of the complex plane. After reformulating the definition of the integral means spectrum of a univalent function in terms of membership in weighted Bergman spaces, we describe the Hilbert space techniques that can be used to estimate universal means spectra from above. READ MORE

  4. 2. 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. 3. Conformal Maps, Bergman Spaces, and Random Growth Models

    Author : Alan Sola; Haakan Hedenmalm; Robert Berman; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Conformal maps; Bergman kernels; planar growth models; MATHEMATICS; MATEMATIK;

    Abstract : This thesis consists of an introduction and five research papers on topics related to conformal mapping, the Loewner equation and its applications, and Bergman-type spaces of holomorphic functions. The first two papers are devoted to the study of integral means of derivatives of conformal mappings. READ MORE

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

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

    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

  7. 5. Hankel operators and atomic decompositions in vector-valued Bergman spaces

    Author : Olivia Constantin; Matematik (naturvetenskapliga fakulteten); []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik; Hankel operators; similarity to contractions; atomic decompositions;

    Abstract : Abstract This thesis consists of the following three papers Paper I. Hankel operators on Bergman spaces and similarity to contractions. In this paper we consider Foguel-Hankel operators on vector-valued Bergman spaces. READ MORE