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):

Report Date:

1967-09-01

Pagination or Media Count:

10.0

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 KM,G,D,S and alpha alphaG,D,S, 0 alpha 1, such that the absolute value of u Km to the power alpha throughout S. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE