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Zbl 0860.46022
Cianchi, Andrea
A sharp embedding theorem for Orlicz-Sobolev spaces. (English)
[J] Indiana Univ. Math. J. 45, No.1, 39-65 (1996). ISSN 0022-2518

With any Young function $A$ it is associated a Young function $B$ having the property that, for any sufficiently smooth subset $G$ of $\bbfR^n$, $L^B(G)$ is the smallest Orlicz space into which the Orlicz-Sobolev space $W^{1,A}(G)$ is continuously embedded.
[A.Cianchi (Firenze)]

MSC 2000:: *46E35 Sobolev spaces and generalizations
46E30 Spaces of measurable functions

Keywords: Young function; Orlicz space; Orlicz-Sobolev space

Cited in: Zbl 1213.46030 Zbl 1128.46017 Zbl 1011.46025

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