J. Rákosník (ed.),
Function spaces, differential operators and nonlinear analysis.
Proceedings of the conference held in Paseky na Jizerou, September 3-9, 1995.
Mathematical Institute, Czech Academy of Sciences, and Prometheus Publishing House, Praha 1996
p. 1 - 16

Homeomorphisms which act on Besov spaces

Gérard Bourdaud, Winfried Sickel

Université Paris 6, U.R.A. 754, Tour 46-0, Boîte 186, 4, place Jussieu, F-75252 Paris Cédex 05, France bourdaud@mathp7.jussieu.fr

Mathematisches Institut, Fakultät für Mathematik und Informatik, Friedrich-Schiller-Universität, Leutragraben 1, 07743 Jena, Germany sickel@minet.uni-jena.de

Abstract: We determine the homeomorphisms $\varphi$ of the real line such that $f\circ\varphi$ belongs to $B_p^{s,q}$ whenever $f$ belongs to $ B_p^{s,q}$ (we consider the homogeneous and inhomogeneous Besov spaces on the real line, with $0<s<1$).

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