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
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 Cr with r> 1 and belongs to a finite-codimension linear subspace.File in questo prodotto:
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CIMP-D-14-00838.pdf
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