.3. Dominants and Admissible Functions in
Sanford S. Miller, Petru T. Mocanu · 2000
Most of the results in this section deal with the normed space en with an arbitrary norm 11·11 . The open set { z E en : II z II < r} is denoted by Br, while the unit ball is abbreviated by B1 = B. The class of holomorphic We need the following basic theorem in order to motivate the definition of the class of admissible functions and to prove a fundamental theorem. This result which is norm independent was previously proved in 1986 by P. Liczberski [ 168 ] for the Euclidean norm and in 1995 by G. Kohr and M. Kohr-lle [ 144] for the maximum norm. This new result which appeared in 1998 is by G. Kohr and P. Liczberski.