Subharmonic functions in certain regions
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- by John L. Lewis PDF
- Trans. Amer. Math. Soc. 167 (1972), 191-201 Request permission
Abstract:
In a recent paper Hellsten, Kjellberg, and Norstad considered bounded subharmonic functions u in $|z| < 1$ which satisfy a certain inequality. They obtained an exact upper bound for the maximum modulus of u. We first show that this bound still holds when u satisfies less restrictive hypotheses. We then give an application of this result.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 167 (1972), 191-201
- MSC: Primary 31A05
- DOI: https://doi.org/10.1090/S0002-9947-1972-0296328-6
- MathSciNet review: 0296328