Integral representations of univalent functions and singular measures
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- by Robert J. Bass PDF
- Proc. Amer. Math. Soc. 110 (1990), 731-739 Request permission
Abstract:
In [5], T. MacGregor showed that not every univalent function has a proposed integral representation with respect to Borel measures on the unit circle. In this paper, we study the decomposition of measures which do give rise to univalent functions. The main results show that no measure with a continuous singular component can ever be associated with a univalent function.References
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Additional Information
- © Copyright 1990 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 110 (1990), 731-739
- MSC: Primary 30E20; Secondary 30C55
- DOI: https://doi.org/10.1090/S0002-9939-1990-1028039-X
- MathSciNet review: 1028039