Vol. 13, No. 3, 2020
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Covering numbers and schlicht functions

Philippe Drouin and Thomas Ransford

Vol. 13 (2020), No. 3, 425–432
DOI: 10.2140/involve.2020.13.425
Abstract

We determine upper and lower bounds for the minimal number of balls of a given radius needed to cover the space of schlicht functions.

Keywords
covering number, holomorphic function, schlicht function
Mathematical Subject Classification 2010
Primary: 30C45, 54E35
Milestones
Received: 4 September 2019
Revised: 11 December 2019
Accepted: 14 June 2020
Published: 14 July 2020

Communicated by Kenneth S. Berenhaut
Authors
Philippe Drouin
Département de mathématiques et de statistique
Université Laval
Quebec, QC
Canada
Thomas Ransford
Département de mathématiques et de statistique
Université Laval
Quebec, QC
Canada