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
    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.

Cuvinte cheie

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