Sökning: "Alan Sola"

Hittade 5 avhandlingar innehållade orden Alan Sola.

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

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

    Sammanfattning : 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. LÄS MER

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

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

    Sammanfattning : 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. LÄS MER

  4. 3. Function spaces and rational inner functions on polydiscs

    Författare :Linus Bergqvist; Alan Sola; Jan-Fredrik Olsen; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Complex variables; Hilbert spaces;

    Sammanfattning : In this thesis we consider problems related to rational inner functionsand several different Hilbert spaces on the unit polydisc. In the general introduction the functions and the function spaces we will be interested in are introduced, and in particular we point outproblems and phenomena that occur in higher dimensions and are notpresent for one variable functions. LÄS MER

  5. 4. Holomorphic functions on polydiscs and measures on the distinguished boundary

    Författare :Linus Bergqvist; Alan Sola; Emmanuel Fricain; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Complex variables; Holomorphic functions; Polydiscs; matematik; Mathematics;

    Sammanfattning : This thesis consists of four papers, treating holomorphic functions defined on polydiscs, operators acting on spaces of such functions, and related measures on the n-torus. In paper I we study containment of rational inner functions, or RIFs for short, in Dirichlet type spaces on the unit polydisc D^n. LÄS MER

  7. 5. Explicit Loewner flows and their geometry

    Författare :Eleftherios Theodosiadis; Alan Sola; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : In this Licentiate Thesis, we address problems related to partialdifferential equations for Loewner Theory. We studymulti-slit Loewner flows in the unit disc and the upper half planerespectively. LÄS MER