Characterization of inclusion among Riesz−Medvedev variation spaces
Commentationes Mathematicae, Tome 56 (2016) no. 2, p. 225−237.

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

We present a characterization of inclusion among Riesz−Medvedev bounded variation spaces, i.e., we shall present necessary and sufficient conditions for the Young functions \(\varphi_1\) and \(\varphi_2\) so that \(RV_{\varphi_{1}}[a,b]\subset RV_{\varphi{_{2}}}[a,b]\) or \(RV^*_{\varphi_{1}}[a,b]\subset RV^*_{\varphi_{2}}[a,b]\).
DOI : 10.14708/cm.v56i2.1133
Classification : 93B05, 93C25
Mots-clés : Banach spaces, \(\varphi\)-bounded variation
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Wadie Aziz; Tomás Ereú. Characterization of inclusion among Riesz−Medvedev variation spaces. Commentationes Mathematicae, Tome 56 (2016) no. 2, p.  225−237. doi : 10.14708/cm.v56i2.1133. http://geodesic.mathdoc.fr/articles/10.14708/cm.v56i2.1133/

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