$H^ 1$ subordination and extreme points
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- by Yusuf Abu-Muhanna PDF
- Proc. Amer. Math. Soc. 95 (1985), 247-251 Request permission
Abstract:
Suppose that $F$ is an element of ${H^1}$ (Hardy class of order 1 over the unit disc). Let ${\text {s}}(F)$ denote the set of functions subordinate to $F$. We show that if $\phi$ is inner and $\phi (0) = 0$; then $F \circ \phi$ is an extreme point of the closed convex hull of ${\text {s}}(F)$.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 95 (1985), 247-251
- MSC: Primary 30C80
- DOI: https://doi.org/10.1090/S0002-9939-1985-0801332-7
- MathSciNet review: 801332