Geodesic
Uniformly continuous composition operators in the space of functions of two variables of bounded \(\varphi\)-variation in the sense of Wiener
Commentationes Mathematicae, Tome 50 (2010) no. 1, pp. 41-28.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

Assume that the generator of a Nemytskii composition operator is a function of three variables: the first two real and third in a closed convex subset of a normed space, with values in a real Banach space. We prove that if this operator maps a certain subset of the Banach space of functions of two real variables of bounded Wiener \(\varphi\)-variation into another Banach space of a similar type, and is uniformly continuous, then the one-sided regularizations of the generator are affine in the third variable.
DOI : 10.14708/cm.v50i1.5299
Mots-clés : \(\vaprhi\)-variation in the Wiener sense, composition operator, uniformly continuous operator, left-left regularization, Jensen equation 
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J. A. Guerrero; J. Matkowski; N. Merentes. Uniformly continuous composition operators in the space of functions of two variables of bounded \(\varphi\)-variation in the sense of Wiener. Commentationes Mathematicae, Tome 50 (2010) no. 1, pp.  41-28. doi : 10.14708/cm.v50i1.5299. http://geodesic.mathdoc.fr/articles/10.14708/cm.v50i1.5299/

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