Harmonic measure and conformal length
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- by Knut Øyma PDF
- Proc. Amer. Math. Soc. 115 (1992), 687-689 Request permission
Abstract:
Let $f(z)$ be any univalent function that maps the unit disc onto a domain $\Omega$. We prove that for any line $L$ the length of ${f^{ - 1}}(\Omega \cap L)$ is less than $4\pi$.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 115 (1992), 687-689
- MSC: Primary 30C35
- DOI: https://doi.org/10.1090/S0002-9939-1992-1101991-1
- MathSciNet review: 1101991