PROPER HOLOMORPHIC MAPS AND B−REGULAR DOMAINS IN Cn

DOI: 10.18173/2354-1059.2026-0003

Abstract

We begin by proving that B-regularity is preserved under proper holomorphic mappings of domains. We next investigate B-regularity in the setting of bounded Reinhardt domains in Cn. These results together demonstrate that B-regularity can be carried from well-understood Reinhardt model domains to more complicated domains via explicit proper holomorphic maps.