2016/01/01 by Károly J. Böröczky, Boroczky, Karoly J., Ferenc Fodor +3
Mathematics · #Point processes and geometric inequalities #Geometric Analysis and Curvature Flows
paper · pdf · doi:10.48550/arxiv.1608.07084
We strengthen the volume inequalities for Lp zonoids of even isotropic\nmeasures and for their duals, which are due to Ball, Barthe and Lutwak, Yang,\nZhang. Along the way, we prove a stronger version of the Brascamp-Lieb\ninequality for a family of functions that can approximate arbitrary well some\nGaussians when equality holds. The special case p=\∞ yields a stability\nversion of the reverse isoperimetric inequality for centrally symmetric bodies.\n