Accession Number : AD0662741
Title : AN APPLICATION OF AN ESTIMATE OF THE RIEMANN MAPPING FUNCTION FOR CERTAIN STAR-SHAPED DOMAINS.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Cannon,John R.
Report Date : SEP 1967
Pagination or Media Count : 10
Abstract : Let D denote a simply connected domain contained in the simply connected star-shaped domain G. Let u denote a harmonic function in G which is bounded by M throughout G and by m , m < M, in D. For any compact set S in G, there exist explicitly defined constants K = K(M,G,D,S) and alpha = alpha(G,D,S), 0 < alpha < 1, such that the absolute value of u < K(m to the power alpha) throughout S. (Author)
Descriptors : (*COMPLEX VARIABLES, MAPPING(TRANSFORMATIONS)), SET THEORY, POTENTIAL THEORY, FUNCTIONS(MATHEMATICS), ANALYTIC FUNCTIONS
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE