Weighted composition operators on weighted Dirichlet spaces: boundedness, compactness and spectral properties
Abstract
We establish necessary and sufficient conditions for the boundedness and compactness of weighted composition operators acting on weighted Dirichlet spaces and determine the spectrum of a certain class of such operators. Our results extend earlier work on unweighted composition operators and highlight the close interplay between the operator theoretic behavior of weighted composition operators and the function theoretic properties of their inducing functions. Several examples are provided to illustrate the applicability of the obtained results.
Fields of Study & Subjects
Holomorphic and Operator Theory
Advanced Harmonic Analysis Research
Analytic and geometric function theory
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 9 February 2026
- Language
- EN
- Document type
- Preprint