Department of Mathematics, Washington University in St. Louis, St. Louis, MI 63130, USA
Copyright © 2010 Steven G. Krantz. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We treat the classical concept of domain of holomorphy in when the holomorphic functions considered are restricted to lie in some Banach space. Positive and negative results are presented. A new view of the case is considered.