Sökning: "weighted Bergman space."
Visar resultat 1 - 5 av 8 avhandlingar innehållade orden weighted Bergman space..
1. Bergman space methods and integral means spectra of univalent functions
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
2. Invariant Subspaces in Spaces of Analytic Functions
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
3. Conformal Maps, Bergman Spaces, and Random Growth Models
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. Carleman-Sobolev classes and Green’s potentials for weighted Laplacians
Sammanfattning : 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). LÄS MER
5. Hankel operators and atomic decompositions in vector-valued Bergman spaces
Sammanfattning : 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. LÄS MER