ISOPERIMETRIC INEQUALITIES FOR Lp GEOMINIMAL SURFACE AREA

摘要

Abstract. In this paper, we establish a number of Lp-affine isoperimetricninequalities for Lp-geominimal surface area. In particular, we obtain a Blaschke–nSantal ´ o type inequality and a cyclic inequality between differentLp-geominimal surfacenareas of a convex body.