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Regularity of coboundaries for nonuniformly expanding Markov maps
Author(s):
Sébastien
Gouëzel
Journal:
Proc. Amer. Math. Soc.
134
(2006),
391-401.
MSC (2000):
Primary 37A20, 37D25
Posted:
September 21, 2005
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Abstract:
We prove that solutions  of the equation  are automatically Hölder continuous when  is Hölder continuous and  is nonuniformly expanding and Markov. This result applies in particular to Young towers and to intermittent maps.
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Additional Information:
Sébastien
Gouëzel
Affiliation:
Département de mathématiques et applications, École Normale Supérieure, 45 rue d'Ulm, 75005 Paris, France
Email:
sebastien.gouezel@ens.fr
DOI:
10.1090/S0002-9939-05-08145-1
PII:
S 0002-9939(05)08145-1
Received by editor(s):
July 16, 2004
Posted:
September 21, 2005
Communicated by:
Michael Handel
Copyright of article:
Copyright
2005,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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