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.