Accession Number : AD0424677

Title :   THE BOUNDARY CORRESPONDENCE OF A QUASICONFORMAL MAPPING IN SPACE,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Storvick,D. A.

Report Date : SEP 1963

Pagination or Media Count : 8

Abstract : It is proved that if a simply connected domain of finite volume and connected complement can be mapped quasiconformally onto the unit ball then necessarily there must correspond to those boundary points of the domain which are accessible by a finite path, a set of measure 4 (pi) on the unit sphere. (Author)

Descriptors :   (*CONFORMAL MAPPING, SPHERES), INTEGRALS, INEQUALITIES

Distribution Statement : APPROVED FOR PUBLIC RELEASE