Smale's mean value conjecture for finite Blaschke products
Complex Variables
2016-09-02 v1
Abstract
Motivated by a dictionary between polynomials and finite Blaschke products, we study both Smale's mean value conjecture and its dual conjecture for finite Blaschke products in this paper. Our result on the dual conjecture for finite Blaschke products allows us to improve a bound obtained by V. Dubinin and T. Sugawa for the dual mean value conjecture for polynomials.
Keywords
Cite
@article{arxiv.1609.00170,
title = {Smale's mean value conjecture for finite Blaschke products},
author = {Tuen-Wai Ng and Yongquan Zhang},
journal= {arXiv preprint arXiv:1609.00170},
year = {2016}
}
Comments
To appear in an issue of Journal of Analysis denoted to the Proceedings of the Conference on Modern Aspects of Complex Geometry (MindaFest))