TY - JOUR
T1 - Symmetrization inequalities for probability metric spaces with convex isoperimetric profile
AU - Martin Pedret, Joaquin
AU - Ortiz, Walter A.
N1 - Publisher Copyright:
© 2020, Finnish Academy of Science and Letters.
PY - 2020
Y1 - 2020
N2 - We obtain symmetrization inequalities on probability metric spaces with convex isoperimetric profile which incorporate in their formulation the isoperimetric estimator and that can be applied to provide a unified treatment of sharp Sobolev-Poincare and Nash inequalities.
AB - We obtain symmetrization inequalities on probability metric spaces with convex isoperimetric profile which incorporate in their formulation the isoperimetric estimator and that can be applied to provide a unified treatment of sharp Sobolev-Poincare and Nash inequalities.
KW - Isoperimetric convex profile
KW - Nash inequalities
KW - Sobolev-Poincaré inequalities
KW - Symmetrization
UR - http://www.scopus.com/inward/record.url?scp=85087869712&partnerID=8YFLogxK
U2 - 10.5186/aasfm.2020.4548
DO - 10.5186/aasfm.2020.4548
M3 - Article
SN - 1239-629X
VL - 45
SP - 877
EP - 897
JO - Annales Academiae Scientiarum Fennicae Mathematica
JF - Annales Academiae Scientiarum Fennicae Mathematica
IS - 2
ER -