A uniqueness result on boundary interpolation

Bolotnikov, Vladimir

doi:10.1090/S0002-9939-07-09126-5

A uniqueness result on boundary interpolation
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Proc. Amer. Math. Soc. 136 (2008), 1705-1715 Request permission

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.

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