Affordable Access

An areal analog of Mahler's measure

Authors
  • Pritsker, Igor E.
Type
Published Article
Publication Date
Jul 20, 2013
Submission Date
Jul 20, 2013
Identifiers
arXiv ID: 1307.5453
Source
arXiv
License
Yellow
External links

Abstract

We consider a version of height on polynomial spaces defined by the integral over the normalized area measure on the unit disk. This natural analog of Mahler's measure arises in connection with extremal problems for Bergman spaces. It inherits many nice properties such as the multiplicative one. However, this height is a lower bound for Mahler's measure, and it can be substantially lower. We discuss some similarities and differences between the two.

Report this publication

Statistics

Seen <100 times