Search for dissertations about: "super-biharmonic function"

Found 2 swedish dissertations containing the words super-biharmonic function.

2. 1. 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

4. 2. Reproducing kernels and potential theory for the Bergman spaces

   Author : Yolanda Perdomo Gallipoli; Matematikcentrum; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; weighted biharmonic Green function Gaussian curvature; Naturvetenskap; harmonic compensator; Natural science; weighted super-biharmonic function; potential metric; mean value property; weighted Bergman kernel;

   Abstract : The role of weighted biharmonic Green functions in weighted Bergman spaces was first studied in the beginning of the 50's by Paul Garabedian. In 1951 he showed that they are closely related to reproducing kernel functions of weighted Bergman spaces. READ MORE