Resumen
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.
Idioma original | Inglés |
---|---|
Páginas (desde-hasta) | 9819-9837 |
Número de páginas | 19 |
Publicación | Journal of Differential Equations |
Volumen | 269 |
N.º | 11 |
DOI | |
Estado | Publicada - 15 nov. 2020 |
Áreas temáticas de ASJC Scopus
- Análisis
- Matemáticas aplicadas