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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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Livsic theorems for hyperbolic flows
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by C. P. Walkden PDF
Trans. Amer. Math. Soc. 352 (2000), 1299-1313 Request permission

Abstract:

We consider Hölder cocycle equations with values in certain Lie groups over a hyperbolic flow. We extend Livšic’s results that measurable solutions to such equations must, in fact, be Hölder continuous.
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Additional Information
  • C. P. Walkden
  • Affiliation: Mathematics Institute, University of Warwick, Coventry CV4 7AL, U.K.
  • Address at time of publication: Department of Mathematics, University of Manchester, Oxford Road, Manchester M13 9PL, U.K.
  • Email: cwalkden@ma.man.ac.uk
  • Received by editor(s): October 14, 1997
  • Published electronically: September 17, 1999
  • Additional Notes: Parts of this paper formed parts of a Ph.D. thesis written at Warwick University. Research supported by EPSRC Grant 94004020.
  • © Copyright 1999 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 352 (2000), 1299-1313
  • MSC (1991): Primary 58F15; Secondary 22E99
  • DOI: https://doi.org/10.1090/S0002-9947-99-02428-9
  • MathSciNet review: 1637106