A note on generalized Grunsky coefficients
We discuss the compactness of the generalized Grunsky operator for an analytic and univalent function. We also prove that the generalized Grunsky coefficients, as mappings from the universal Teichmüller space or the Weil-Petersson Teichmüller space into some complex Banach spaces, are holomorphic.
Authors
- Shuan Tang (ORCID: https://orcid.org/0000-0001-5386-3115)
- Lin Zhao (ORCID: https://orcid.org/0000-0001-8804-8735)
Institutions
- Guizhou Normal University (CN)
Publication Details
- Journal
- Proceedings of the American Mathematical Society
- Published
- 2025-03-11
- DOI
- https://doi.org/10.1090/proc/17189
- Primary Topic
- Spectral Theory in Mathematical Physics
- Type
- article
- Field-Weighted Citation Impact
- 0.00