This article is cited in 3 papers

The Hölder property of singular invariant measures of circle homeomorphisms with single corners

A. A. Dzhalilov

A. Navoi Samarkand State University

Abstract: Any circle homeomorphism with a corner has an invariant measure that is singular w.r.t. the Lebesgue measure. It is proved that the singularity of the invariant measure has the Hölder property.

Received: 19.02.1999

DOI: 10.4213/tmf815

 English version: Theoretical and Mathematical Physics, 1999, 121:3, 1557–1566

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