(q, p)-Mixing Bloch maps

Abstract

As a Bloch variant of (q,p)\left(q,p)-mixing linear operators, we introduce the notion of (q,p)\left(q,p)-mixing Bloch maps. We prove Pietsch’s domination theorem and Maurey’s splitting theorem in this Bloch context, following the corresponding results from the linear case.

Keywords

• vector-valued holomorphic map
• bloch function
• p-summing operator
• (q, p)-mixing operator
• 30h30
• 47b10
• 46e15
• 46e40
• 47l20