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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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An inequality with applications in potential theory
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by Boris Korenblum and Edward Thomas
Trans. Amer. Math. Soc. 279 (1983), 525-536
DOI: https://doi.org/10.1090/S0002-9947-1983-0709566-X

Abstract:

An analytic inequality (announced previously) is proved and a certain monotonicity condition is shown to be essential for its validity, contrary to an earlier conjecture. Then, a generalization of the inequality, which takes into account the extent of nonmonotonicity, is established.
References
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Bibliographic Information
  • © Copyright 1983 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 279 (1983), 525-536
  • MSC: Primary 26D15; Secondary 31A05
  • DOI: https://doi.org/10.1090/S0002-9947-1983-0709566-X
  • MathSciNet review: 709566