We prove that the solutions of the cohomological equation for Roth type interval exchange maps are Hölder continuous provided that the datum is of class C^r with r>1 and belongs to a finite-codimension linear subspace.
We prove that the solutions of the cohomological equation for Roth type interval exchange maps are Hölder continuous provided that the datum is of class Cr with r> 1 and belongs to a finite-codimension linear subspace.
Hölder Regularity of the Solutions of the Cohomological Equation for Roth Type Interval Exchange Maps
MARMI, Stefano;YOCCOZ, JEAN CHRISTOPHE
2016-01-01
Abstract
We prove that the solutions of the cohomological equation for Roth type interval exchange maps are Hölder continuous provided that the datum is of class C^r with r>1 and belongs to a finite-codimension linear subspace.File in questo prodotto:
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