Interpolation operators in Orlicz–Sobolev spaces

Authors:
L. Diening;M. Růžička
Affiliations:
Albert-Ludwigs-University, Institute of Applied Mathematics, Freiburg Eckerstr. 1, 79104, Freiburg, Germany;Albert-Ludwigs-University, Institute of Applied Mathematics, Freiburg Eckerstr. 1, 79104, Freiburg, Germany
Venue:
Numerische Mathematik
Year:
2007

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Abstract

We study classical interpolation operators for finite elements, like the Scott–Zhang operator, in the context of Orlicz–Sobolev spaces. Furthermore, we show estimates for these operators with respect to quasi-norms which appear in the study of systems of p-Laplace type.