MPEJ Volume 13, No. 6, 20 pp.
Received: Nov 29, 2005. Revised: Dec 6, 2006. Accepted:  Oct 14, 2007.


M. Nicol and A. T\"{o}r\"{o}k
Whitney regularity for solutions to the coboundary equation on Cantor sets


ABSTRACT: We prove Whitney regularity results for the solutions of the
coboundary equation over dynamically defined Cantor sets satisfying a natural
geometric regularity condition, in particular hyperbolic basic sets in
dimension two. To do this we prove an analogue of Journ\'e's well-known result
in the context of Cantor sets satisfying geometric regularity conditions.

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