On a problem of Berman concerning radial limits
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- by J. S. Hwang and Peter Lappan PDF
- Proc. Amer. Math. Soc. 95 (1985), 155-156 Request permission
Abstract:
Given a ${G_\delta }$-subset $E$ of the unit circle $T$ such that $E$ is of measure zero, we prove that there exists a nonvanishing function $g \in {H^\infty }$ such that $g(z)$ has a radial limit at each point of $T$ and this radial limit is zero at each point of $E$. This answers a problem of R. Berman (Proc. Amer. Math. Soc. 92 (1984), 64-66).References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 95 (1985), 155-156
- MSC: Primary 30D40; Secondary 30D50
- DOI: https://doi.org/10.1090/S0002-9939-1985-0796466-X
- MathSciNet review: 796466