New Lp affine isoperimetric inequalities

• Autores: Elisabeth M. Werner, Deping Ye
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 218, Nº 3, 2008, págs. 762-780
• Idioma: inglés
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• Resumen

  • We prove new Lp affine isoperimetric inequalities for all p[-8,1). We establish, for all p?-n, a duality formula which shows that Lp affine surface area of a convex body K equals affine surface area of the polar body K?.