Two quantitative versions of the Nonlinear Carleson Conjecture
In this note, we state and compare two quantitative versions of the Nonlinear Carleson Conjecture (NCC). We provide motivations for our conjectures and show that they both imply the NCC. We also obtain some applications to the zero distribution of polynomials orthogonal on the unit circle and to their pointwise asymptotics.
Authors
- Sergey A. Denisov
Institutions
- University of Wisconsin–Madison (US)
Publication Details
- Journal
- Comptes Rendus Mathématique
- Published
- 2025-11-10
- DOI
- https://doi.org/10.5802/crmath.806
- Primary Topic
- Advanced Harmonic Analysis Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00