2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58499This article discusses questions in one and several complex variables about the size of the sum of the moduli of the terms of the series expansion of a bounded holomorphic function. Although the article is partly expository, it also includes some previously unpublished results with complete proofs. The article is based on a lecture at the third Korean several complex variables symposium held at the Global Analysis Research Center at Seoul National University in December 1998.16 pages; to appear in the Journal of the Korean Mathematical SocietyComplex Variables32A05text