(q,p)-mixing weighted holomorphic mappings

Key Points

• The aim is to generalize (q,p)-mixing linear operators into weighted holomorphic mappings and define their properties.
• Introduced the concept of (q,p)-mixing weighted holomorphic mappings.
• Characterized these mappings using integral and summability type inequalities.
• Established the structure of these mappings as an injective Banach ideal.
• Extended composition-type results from (q,p)-mixing linear operators to the weighted holomorphic context.
• Demonstrated the relationships between (q,p)-mixing weighted mappings and existing operators.
• Provided conditions under which these mappings retain certain structural properties.
• Showed that the new mappings form a coherent algebraic structure in the space of holomorphic functions.

Abstract