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Livsic theorems for hyperbolic flows
Author(s):
C.
P.
Walkden
Journal:
Trans. Amer. Math. Soc.
352
(2000),
1299-1313.
MSC (1991):
Primary 58F15;
Secondary 22E99
Posted:
September 17, 1999
MathSciNet review:
1637106
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Abstract:
We consider Hölder cocycle equations with values in certain Lie groups over a hyperbolic flow. We extend Livsic'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
DOI:
10.1090/S0002-9947-99-02428-9
PII:
S 0002-9947(99)02428-9
Received by editor(s):
October 14, 1997.
Posted:
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 of article:
Copyright
1999,
American Mathematical Society
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