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The boundary correspondence of a quasiconformal mapping in space.

Author: D A Storvick; WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER.
Publisher: Ft. Belvoir Defense Technical Information Center SEP 1963.
Edition/Format:   Book : English
Database:WorldCat
Summary:
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).
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Document Type: Book
All Authors / Contributors: D A Storvick; WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER.
OCLC Number: 227322143
Description: 8 p.

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).

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