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 C^r with r>1 and belongs to a finite-codimension linear subspace.
Settore MAT/07 - Fisica Matematica
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/65305
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