Positive harmonic majorization of the real part of a holomorphic function
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- by Stephen J. Gardiner PDF
- Proc. Amer. Math. Soc. 117 (1993), 767-770 Request permission
Abstract:
Let $U$ be the unit disc. This paper investigates which domains $D$ in the complex plane have the property that $\mathcal {R}ef$ belongs to ${h^1}$, or the more restrictive property that ${e^f}$ belongs to the Smirnov class ${\mathcal {N}^ + }$, for every holomorphic function $f:U \to D$.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 117 (1993), 767-770
- MSC: Primary 30D35
- DOI: https://doi.org/10.1090/S0002-9939-1993-1139468-0
- MathSciNet review: 1139468