2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/218426In this paper we study noncommutative domains D_f in B(H)^n, generated by positive regular free holomorphic functions f, where B(H) is the algebra of all bounded linear operators on a Hilbert space H.124 pages, to appear in Memoirs AMSFunctional AnalysisOperator Algebras47A05; 47A56; 47A20; 46E40;46L52; 46L07text