A uniqueness result on boundary interpolation
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Abstract:
Let $f$ be an analytic function mapping the unit disk $\mathbb {D}$ into itself. We give necessary and sufficient conditions on the local behavior of $f$ near a finite set of boundary points that require $f$ to be a finite Blaschke product.References
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Additional Information
- Vladimir Bolotnikov
- Affiliation: Department of Mathematics, College of William and Mary, Williamsburg, Virginia 23187-8795
- MR Author ID: 266846
- Received by editor(s): January 10, 2006
- Received by editor(s) in revised form: February 20, 2007
- Published electronically: November 28, 2007
- Communicated by: Juha M. Heinonen
- © Copyright 2007 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 136 (2008), 1705-1715
- MSC (2000): Primary 47A57
- DOI: https://doi.org/10.1090/S0002-9939-07-09126-5
- MathSciNet review: 2373600