PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, vol.128, no.9, pp.2611-2619, 2000 (SCI-Expanded)
Article / Article
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Science Citation Index Expanded (SCI-EXPANDED), Scopus
spaces of holomorphic functions, Bohr phenomenon
Middle East Technical University Affiliated:
In 1914 Bohr discovered that there exists r is an element of (0, 1) such that if a power series converges in the unit disk and its sum has modulus less than 1, then for \z\ < r the sum of absolute values of its terms is again less than 1. Recently analogous results were obtained for functions of several variables. Our aim here is to present an abstract approach to the problem and show that Bohr's phenomenon occurs under very general conditions.