Isometries of the Derivative Zygmund F-Algebra of Analytic Functions on the Unit Disk
Abstract
Abstract In this paper, we introduce a space of analytic functions on the open unit disk whose derivatives belong to the Zygmund F -algebra. We provide a complete characterization of both linear isometries and multiplicative isometries on this space. As an application of the results on linear isometries, we investigate isometric multipliers and zero divisors in the space.
Fields of Study & Subjects
Advanced Banach Space Theory
Holomorphic and Operator Theory
Analytic and geometric function theory
Publication details
- Journal / source
- Results in Mathematics
- Volume
- 81
- Issue
- 2
- Publication date
- 11 February 2026
- Language
- EN