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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 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Superharmonic functions on foliations
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by S. R. Adams PDF
Trans. Amer. Math. Soc. 330 (1992), 625-635 Request permission

Abstract:

We use techniques from geometric analysis to prove that any positive, leafwise superharmonic, measurable function on a Riemannian measurable foliation with transverse invariant measure, finite total volume and complete leaves is, in fact, constant on a.e. leaf.
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Additional Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 330 (1992), 625-635
  • MSC: Primary 58F18; Secondary 31C05, 31C12, 53C12
  • DOI: https://doi.org/10.1090/S0002-9947-1992-1033232-2
  • MathSciNet review: 1033232