KaydedilenlerDerginizi ekleyin

Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 1975 / Cilt: 24 #74379

Converse of the Maximum Modulus Theorem and Rings of Continuous Complex Functions

C. ULUÇAY

Sayfa
1–1
DOI
—

Abstract

It is shown among others that if D is a region (öpen connected set) in the complex plane and C(D) the algehra of continuous complex functions on Dwith the property that for every m em ber/c C (D) and every closed disc M7 in D, ||/||^ r = ||/ ||g ^ then any two such regions are conformally equivalent. Moreover ev ery /is analytic.