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Smale’s mean value conjecture for finite Blaschke products

Smale’s mean value conjecture for finite Blaschke products 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 Dubinin and Sugawa for the dual mean value conjecture for polynomials. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png The Journal of Analysis Springer Journals

Smale’s mean value conjecture for finite Blaschke products

The Journal of Analysis , Volume 24 (2) – Feb 13, 2017

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Publisher
Springer Journals
Copyright
Copyright © 2017 by Forum D' Analystes, Chennai
Subject
Mathematics; Analysis; Functional Analysis; Abstract Harmonic Analysis; Special Functions; Fourier Analysis; Measure and Integration
ISSN
0971-3611
eISSN
2367-2501
DOI
10.1007/s41478-016-0007-4
Publisher site
See Article on Publisher Site

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 Dubinin and Sugawa for the dual mean value conjecture for polynomials.

Journal

The Journal of AnalysisSpringer Journals

Published: Feb 13, 2017

References