paper

Affine Orlicz Pólya-Szegö principles and their equality cases

arXiv:2008.07026

Abstract

The conjecture about the Orlicz Pólya-Szegö principle posed in [43] is proved. The cases of equality are characterized in the affine Orlicz Pólya-Szegö principle with respect to Steiner symmetrization and Schwarz spherical symmetrization.