Approximation problems and weights

Adem Limani

Research output: ThesisDoctoral Thesis (compilation)

152 Downloads (Pure)


This thesis is mainly concerned with investigations of approximation problems on spaces of analytic functions on the unit disc in the complex plane, which naturally arise in connection to spectral problems of certain classes of linear operators acting on the spaces in question. For instance, quasi-nilpotency of certain analytic paraproducts on the Hardy spaces and on the Bergman spaces are investigated. These problems can be interpreted in terms of approximation problems in the corresponding symbol classes that induce bounded paraproducts therein. Another substantial part of the thesis is devoted to studying smooth approximations in the model spaces and in the de Branges-Rovnyak spaces. It turns out that these questions have dual reformulations in terms of Beurling-type theorems for shift operators on certain spaces of analytic functions.
Original languageEnglish
  • Pott, Sandra, Supervisor
  • Aleman, Alexandru, Assistant supervisor
Thesis sponsors
Award date2022 May 23
ISBN (Print)978-91-8039-235-8
ISBN (electronic) 978-91-8039-236-5
Publication statusPublished - 2022

Bibliographical note

Defence details
Date: 2022-05-23
Time: 13:00
Place: Hörmandersalen, MH:H. Join via zoom:
External reviewer(s)
Name: Poltoratski, Alexei
Title: Professor
Affiliation: University of Wisconsin, Madison, Wisconsin, US

Subject classification (UKÄ)

  • Mathematical Analysis

Free keywords

  • approximation problems
  • weights
  • Spaces of analytic functions


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