Equivalence between Polyá-Szegő and relative capacity inequalities under rearrangement
arXiv:1401.2780 · doi:10.1007/s00013-014-0695-4
Abstract
The transformations of functions acting on sublevel sets that satisfy a Pólya-Szegő inequality are characterized as those being induced by transformations of sets that do not increase the associated capacity.
arXiv comment9 pages