Some Properties Which A Ring Of Holomorphic Functions On A Non-Empty Subset Of An Open Riemann Surface Might Have

Authors : N İSPİR

Pages : 0-0

Doi:10.1501/Commua1_0000000302

View : 12 | Download : 11

Publication Date : 1989-01-01

Article Type : Research Paper

Abstract :Su insert ignore into journalissuearticles values(1972); proved that for auy two suhsets X, Y of C, the complex plane, X and Y are conformally homeomorphic if there is an isomorphîsm between Hinsert ignore into journalissuearticles values(X); and Hinsert ignore into journalissuearticles values(Y); which is the identity on constant functions. Minda insert ignore into journalissuearticles values(1976); extended the method to the rings of holomorphic functions on any suhsets of öpen Riemann surfaces. Royden insert ignore into journalissuearticles values(1963); listed some properties which a ring of functions might have, In this paper, using the results of Su, Minda, and Royden we present some properties of the subring R
Keywords : Properties Which, Surface Might, Non Empty Subset