论文标题

Viterbo对凸形旋转域的能力猜想以及$ 1 $ - unconditional凸及其polar的产物

The Viterbo's capacity conjectures for convex toric domains and the product of a $1$-unconditional convex body and its polar

论文作者

Shi, Kun, Lu, Guangcun

论文摘要

在本说明中,我们表明,强烈的Viterbo猜想在任何凸形旋转域上都符合,并且Viterbo的体积容量构构构成了$ 1 $ - unconditional convex $ a \ subset \ subbb \ mathbb {r}^{n} $ and polar的产品。我们还为$ L_P $ -BALLS的对称Mahler猜想提供了直接的演算证明。

In this note, we show that the strong Viterbo conjecture holds true on any convex toric domain, and that the Viterbo's volume-capacity conjecture holds for the product of a $1$-unconditional convex body $A\subset\mathbb{R}^{n}$ and its polar. We also give a direct calculus proof of the symmetric Mahler conjecture for $l_p$-balls.

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