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Approximation problems and weights

In English

Författare

Summary, in English

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.

Publiceringsår

2022

Språk

Engelska

Dokumenttyp

Doktorsavhandling

Förlag

Lund University

Ämne

  • Mathematical Analysis

Nyckelord

  • approximation problems
  • weights
  • Spaces of analytic functions

Status

Published

ISBN/ISSN/Övrigt

  • ISBN: 978-91-8039-236-5
  • ISBN: 978-91-8039-235-8

Försvarsdatum

23 maj 2022

Försvarstid

13:00

Försvarsplats

Hörmandersalen, MH:H. Join via zoom: https://lu-se.zoom.us/j/64113256056

Opponent

  • Alexei Poltoratski (Professor)