Orlicz centroid bodies
Lutwak, Erwin ; Yang, Deane ; Zhang, Gaoyong
J. Differential Geom., Tome 84 (2010) no. 1, p. 365-387 / Harvested from Project Euclid
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The sharp affine isoperimetric inequality that bounds the volume of the centroid body of a star body (from below) by the volume of the star body itself is the Busemann-Petty centroid inequality. A decade ago, the $L_p$ analogue of the classical Busemann- Petty centroid inequality was proved. Here, the definition of the centroid body is extended to an Orlicz centroid body of a star body, and the corresponding analogue of the Busemann-Petty centroid inequality is established for convex bodies.
Publié le : 2010-02-15
Classification:  
@article{1274707317,
     author = {Lutwak, Erwin and Yang, Deane and Zhang, Gaoyong},
     title = {Orlicz centroid bodies},
     journal = {J. Differential Geom.},
     volume = {84},
     number = {1},
     year = {2010},
     pages = { 365-387},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1274707317}
}

Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong. Orlicz centroid bodies. J. Differential Geom., Tome 84 (2010) no. 1, pp.  365-387. http://gdmltest.u-ga.fr/item/1274707317/