On slice biregular functions and isomorphisms of Bergman spaces

Fabrizio Colombo, J. Oscar González-Cervantes, Irene Sabadini

Research output: Contribution to journalArticlepeer-review

28 Scopus citations

Abstract

In this article we deepen the study of the Bergman theory in the slice regular setting by providing a description of the Bergman projection and by considering a subclass of slice regular functions which generate isometric isomorphisms of Bergman spaces. As a tool to show our result, we further study the multiplication of slice regular functions and their composition.

Original languageEnglish
Pages (from-to)825-839
Number of pages15
JournalComplex Variables and Elliptic Equations
Volume57
Issue number7-8
DOIs
StatePublished - Jul 2012

Keywords

  • Bergman spaces
  • slice regular functions

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