Inequalities for quasiconformal mappings in space

Glen Douglas Anderson, Mavina Krishna Vamanamurthy and Matti Vuorinen

Vol. 160 (1993), No. 1, 1–18

DOI: 10.2140/pjm.1993.160.1

Abstract

A new lower hound for the conformal capacity of the Grötzsch ring and sharp bounds for the radial distortion of a quasiconformal automorphism of the unit ball are obtained in n-space, n ≥ 2.

Mathematical Subject Classification 2000

Primary: 30C65

Secondary: 30C75

Milestones

Received: 22 January 1991

Revised: 27 January 1992

Published: 1 September 1993