Accession Number : AD0621219
Title : QUASI-CONFORMAL FUNCTIONS TENDING TO CONFORMALITY AT THE BOUNDARY,
Corporate Author : MINNESOTA UNIV MINNEAPOLIS DEPT OF MATHEMATICS
Personal Author(s) : Storvick,D. A.
Report Date : 1960
Pagination or Media Count : 11
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.
Descriptors : (*FUNCTIONS(MATHEMATICS), CONFORMAL MAPPING), (*CONFORMAL MAPPING, FUNCTIONS(MATHEMATICS)), BOUNDARY VALUE PROBLEMS, THEOREMS, COMPLEX VARIABLES, POTENTIAL THEORY
Distribution Statement : APPROVED FOR PUBLIC RELEASE