2017
Том 69
№ 6

All Issues

On the smoothness of conjugation of circle diffeomorphisms with rigid rotations

Teplins’kyi O. Yu.

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Abstract

We prove that any C3+β -smooth orientation-preserving circle diffeomorphism with rotation number from the Diophantine class Dδ , 0 < β < δ < 1, is C 2+β-δ -smoothly conjugate to the rigid rotation of the circle by appropriate angle.

English version (Springer): Ukrainian Mathematical Journal 60 (2008), no. 2, pp 310-326.

Citation Example: Teplins’kyi O. Yu. On the smoothness of conjugation of circle diffeomorphisms with rigid rotations // Ukr. Mat. Zh. - 2008. - 60, № 2. - pp. 268–282.

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