(q,p)-Mixing weighted holomorphic mappings

Abstract

As an generalization of (q,p)-mixing linear operators, we introduce a new notion of (q,p)-mixing weighted holomorphic mappings. Such maps are characterized in terms of both inequalities of integral and summability type. Their structure as an injective Banach ideal of weighted holomorphic mappings is established, and known composition-type results for (q,p)-mixing linear operators are extended to the weighted holomorphic setting.