THREE EXTENSIONS OF ORLICZ-SOBOLEV SPACES TO METRIC MEASURE SPACES AND THEIR MUTUAL EMBEDDINGS

MARCELINA MOCANU

"Vasile Alecsandri" University of Bacău, Department of Mathematics and Informatics, Calea Mărăşeşti 157, Bacău,600115, Romania, email: mmocanu@ub.ro

Abstract

We study the mutual embeddings between three extensions of Orlicz-Sobolev spaces to a metric measure space, the Orlicz-Sobolev spaces of Newtonian type, of Hajlasz type and of Cheeger type.

Keywords

metric measure space weak upper gradient Orlicz-Sobolev space continuous embedding.
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