Displaying similar documents to “Real C k Koebe principle”

Distortion bounds for C 2 + η unimodal maps

Mike Todd (2007)

Fundamenta Mathematicae

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We obtain estimates for derivative and cross-ratio distortion for C 2 + η (any η > 0) unimodal maps with non-flat critical points. We do not require any “Schwarzian-like” condition. For two intervals J ⊂ T, the cross-ratio is defined as the value B(T,J): = (|T| |J|)/(|L| |R|) where L,R are the left and right connected components of T∖J respectively. For an interval map g such that g T : T is a diffeomorphism, we consider the cross-ratio distortion to be B(g,T,J): = B(g(T),g(J))/B(T,J). We prove...

Rigidity of critical circle mappings I

Edson de Faria, Welington de Melo (1999)

Journal of the European Mathematical Society

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We prove that two C 3 critical circle maps with the same rotation number in a special set 𝔸 are C 1 + α conjugate for some α > 0 provided their successive renormalizations converge together at an exponential rate in the C 0 sense. The set 𝔸 has full Lebesgue measure and contains all rotation numbers of bounded type. By contrast, we also give examples of C critical circle maps with the same rotation number that are not C 1 + β conjugate for any β > 0 . The class of rotation numbers for which such examples exist...

A Marchaud type inequality

Jorge Bustamante (2022)

Commentationes Mathematicae Universitatis Carolinae

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We present a new Marchaud type inequality in 𝕃 p spaces.

On C * -spaces

P. Srivastava, K. K. Azad (1981)

Matematički Vesnik

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