Mathematical Inequalities & Applications · Volume 3, Issue 4 Duality principles and reduction theorems 03-51 Pages 539-558 DOI 10.7153/mia-03-51 Downloads Short PDF Full PDF PNG Authors Amiran Gogatishvili Luboš Pick Keywords duality principles rearrangement-invariant spaces classical Lorentz spaces reduction theorems non-increasing functions Boyd indices Hardy averaging operator kernel integral operators Subject classes 46E30 26D10