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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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An inequality for analytic functions
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by Herbert Kamowitz
Proc. Amer. Math. Soc. 46 (1974), 234-238
DOI: https://doi.org/10.1090/S0002-9939-1974-0352471-1
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Abstract:

If $F$ denotes the boundary value of a function $f \in {H^p}, 1 \leq p \leq \infty$, the infimum of the measure of $\{ \theta |\;|F(\theta )| > A\}$ for given $A, 0 < A < |f(0)|, ||f|{|_{{H^p}}} = 1$, is determined.
References
  • Kenneth Hoffman, Banach spaces of analytic functions, Prentice-Hall Series in Modern Analysis, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1962. MR 0133008
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Bibliographic Information
  • © Copyright 1974 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 46 (1974), 234-238
  • MSC: Primary 30A78
  • DOI: https://doi.org/10.1090/S0002-9939-1974-0352471-1
  • MathSciNet review: 0352471