Accession Number:

AD0621219

Title:

QUASI-CONFORMAL FUNCTIONS TENDING TO CONFORMALITY AT THE BOUNDARY,

Descriptive Note:

Corporate Author:

MINNESOTA UNIV MINNEAPOLIS DEPT OF MATHEMATICS

Personal Author(s):

Report Date:

1960-01-01

Pagination or Media Count:

11.0

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 Fatous 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.

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE