by **
W. Farkas**

**Preprint series:**
97-10, Analysis

**The paper is published:**
Rev. Roumaine. Math. Pures Appl., 42 (no. 7-8), 555-565, 1997

**MSC:**- 46E35 Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems
- 46E30 Spaces of measurable functions ($L^p$-spaces, Orlicz spaces, Kothe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)

**Abstract:** Let $L_{\rho}(\Omega )$ be a rearrangement invariant Banach function space which contains an Orlicz space $L_{B}(\Omega )$. The aim of the paper is the obtaining of an embedding theorem for the abstract Sobolev space $W^1L_{\rho}(\Omega ).$

**Keywords:** *generalized Orlicz - Sobolev space, rearrangement invariant Banach function space, Orlicz space*

**Upload:** 1999-03-01

**Update:** 1999-03-01

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