TY - JOUR
T1 - Isoperimetry and symmetrization for Sobolev spaces on metric spaces
AU - Martín, Joaquim
AU - Milman, Mario
PY - 2009/6/1
Y1 - 2009/6/1
N2 - Using isoperimetry we obtain new symmetrization inequalities that allow us to provide a unified framework to study Sobolev inequalities in metric spaces. The applications include concentration inequalities, Poincaré inequalities, as well as metric versions of the Pólya-Szegö and Faber-Krahn principles. To cite this article: J. Martín, M. Milman, C. R. Acad. Sci. Paris, Ser. I 347 (2009). © 2009 Académie des sciences.
AB - Using isoperimetry we obtain new symmetrization inequalities that allow us to provide a unified framework to study Sobolev inequalities in metric spaces. The applications include concentration inequalities, Poincaré inequalities, as well as metric versions of the Pólya-Szegö and Faber-Krahn principles. To cite this article: J. Martín, M. Milman, C. R. Acad. Sci. Paris, Ser. I 347 (2009). © 2009 Académie des sciences.
U2 - https://doi.org/10.1016/j.crma.2009.04.011
DO - https://doi.org/10.1016/j.crma.2009.04.011
M3 - Article
VL - 347
SP - 627
EP - 630
JO - Comptes Rendus Mathematique
JF - Comptes Rendus Mathematique
SN - 1631-073X
ER -