Hostname: page-component-7c8c6479df-fqc5m Total loading time: 0 Render date: 2024-03-27T09:18:34.387Z Has data issue: false hasContentIssue false

Conformal deformations of uniform Loewner spaces

Published online by Cambridge University Press:  18 February 2004

DAVID A HERRON
Affiliation:
Department of Mathematics, University of Cincinnati, OH 45221 e-mail: david.herron@math.uc.edu

Abstract

We study conformal deformations of uniform Loewner spaces, verify the Gehring-Hayman Inequality, demonstrate uniform continuity of the identity mapping, and provide results which describe the boundary of the deformed space. In addition, we establish two connections between Hausdorff content and modulus.

Type
Research Article
Copyright
2004 Cambridge Philosophical Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)