Examinando por Autor "Pons D.J."
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Ítem Symmetry and compact embeddings for critical exponents in metric-measure spaces(Academic Press Inc., 2020-11) Gaczkowski M.; Górka P.; Pons D.J.We obtain a compact Sobolev embedding for H-invariant functions in compact metric-measure spaces, where H is a subgroup of the measure preserving bijections. In Riemannian manifolds, H is a subgroup of the volume preserving diffeomorphisms: a compact embedding for the critical exponents follows. The results can be viewed as an extension of Sobolev embeddings of functions invariant under isometries in compact manifolds. © 2020 Elsevier Inc.