caa a22 4500 465820220 CHVBK 20180323112133.0 cr unu---uuuuu 170327e19901201xx s 000 0 eng 10.1007/BF01765315 doi (NATIONALLICENCE)springer-10.1007/BF01765315 Simon Jacques Département de Mathématiques Appliquées, Université Blaise Pascal, 63177, Aubiere Cedex, France aut Sobolev, Besov and Nikolskii fractional spaces: Imbeddings and comparisons for vector valued spaces on an interval [Elektronische Daten] [Jacques Simon] Summary: We consider various fractional properties of regularity for vector valued functions defined on an interval I. In other words we study the functions in the Sobolev spaces Ws,p(I;E), in the Nikolskii spaces Ns,p(I;E), or in the Besov spaces B s, p λ (I; E). Theses spaces are defined by integration and translation, and E is a Banach space. In particular we study the dependence on the parameters s, p and λ, that is imbeddings for different parameters. Moreover we compare each space to the others, and we give Lipschits continuity, existence of traces and q-integrability properties. These results rely only on integration techniques. Fondazione Annali di Matematica Pura ed Applicata, 1990 Annali di Matematica Pura ed Applicata Springer-Verlag 157/1(1990-12-01), 117-148 0373-3114 157:1<117 1990 157 10231 https://doi.org/10.1007/BF01765315 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01765315 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Simon Jacques Département de Mathématiques Appliquées, Université Blaise Pascal, 63177, Aubiere Cedex, France aut NATIONALLICENCE 773 0- Annali di Matematica Pura ed Applicata Springer-Verlag 157/1(1990-12-01), 117-148 0373-3114 157:1<117 1990 157 10231 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer