Abstract
The Riemann Mapping Theorem asserts that there is an analytic function in the unit disk taking its boundary values on any given simple smooth curve in the plane. A theorem of Szegö says that an analytic function in the disk can have boundary values lying on prescribed circles about the origin. We shall prove that the circles of Szegö's theorem can be replaced by other curves, giving a common generalization of these theorems.
Citation
Henry Helson. Farhad Zabihi. "A geometric problem in function theory." Illinois J. Math. 51 (3) 1027 - 1034, Fall 2007. https://doi.org/10.1215/ijm/1258131116
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