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Some theorems on bounded holomorphic functions

1964
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Bulletin of the American Mathematical Society
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The purpose of this note is the announcement of some results in the theory of bounded holomorphic functions on finite open Riemann surfaces. The proofs are too long to be included ; they will be published elsewhere. Special cases of some of the results of this note are to be found in [4] . We consider a fixed finite open Riemann surface R. We thus assume that R is contained as an open set in some compact Riemann surface Ro and that RQ\R consists of finitely many topological bordered surfaces.

doi:10.1090/s0002-9904-1964-11124-1
fatcat:btmwzd6dsrfe5pi4u3xbxq3jy4