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