Abstract
In this paper, we first establish the Brunn-Minkowski type inequalities for the volume of the $L_p$ centroid body and its polar body with respect to the normalized $L_{p}$ radial addition. Furthermore, we prove some properties for operator $\Gamma_{-p}$ and obtain some inequalities for it.
Citation
Jun Yuan. Lingzhi Zhao. Gangsong Leng. "INEQUALITIES FOR Lp CENTROID BODY." Taiwanese J. Math. 11 (5) 1315 - 1325, 2007. https://doi.org/10.11650/twjm/1500404866
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