论文标题
代数Brascamp-Lieb不平等
An Algebraic Brascamp-Lieb Inequality
论文作者
论文摘要
我们证明了全球非线性brascamp-lieb不平等的一般地图，包括多项式Kakeya-type的不平等现象，包括多项式和理性地图。我们结合了一种自然的仿射不变的重量，以补偿局部归化性，并产生一个均匀的常数，仅取决于所涉及的地图的“程度”。
We prove a global nonlinear Brascamp-Lieb inequality for a general class of maps, encompassing polynomial and rational maps, as a consequence of the multilinear Kakeya-type inequalities of Zhang and Zorin-Kranich. We incorporate a natural affine-invariant weight that compensates for local degeneracies, and yields a uniform constant that depends only on the 'degree' of the maps involved.
