Outer functions in analytic weighted Lipschitz algebras
Brahim Bouya
TL;DR
This paper characterizes outer functions in analytic weighted Lipschitz algebras by their boundary moduli, providing a comprehensive description applicable to any modulus of continuity.
Contribution
It offers a complete boundary modulus characterization of outer functions in weighted Lipschitz algebras, advancing understanding of their structure.
Findings
Complete boundary modulus description of outer functions
Applicable to any modulus of continuity
Enhances the theoretical framework of Lipschitz algebras
Abstract
We give a complete description of outer functions in the analytic weighted Lipschitz algebras by their moduli in the boundary, with respect to any modulus of continuity.
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Taxonomy
TopicsAdvanced Banach Space Theory · Advanced Operator Algebra Research · Holomorphic and Operator Theory