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Quasi-conformal functions tending to conformality at the boundary.

Author: D A Storvick; MINNESOTA UNIV MINNEAPOLIS Dept. of MATHEMATICS.
Publisher: Ft. Belvoir Defense Technical Information Center JAN 1960.
Edition/Format:   Print book : English
Database:WorldCat
Summary:
The purpose of this note is to show that the boundary correspondence induced by a quasi-conformal mapping is absolutely continuous and an analogue of Fatou's theorem is valid for quasi-conformal functions if one requires that the dilatation quotient in addition to being bounded tends to one sufficiently swiftly as the boundary is approached.
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Document Type: Book
All Authors / Contributors: D A Storvick; MINNESOTA UNIV MINNEAPOLIS Dept. of MATHEMATICS.
OCLC Number: 227385216
Description: 11 pages

Abstract:

The purpose of this note is to show that the boundary correspondence induced by a quasi-conformal mapping is absolutely continuous and an analogue of Fatou's theorem is valid for quasi-conformal functions if one requires that the dilatation quotient in addition to being bounded tends to one sufficiently swiftly as the boundary is approached.

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Primary Entity

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