论文标题

双曲线倍曲底的限制不平等

Restriction inequalities for the hyperbolic hyperboloid

论文作者

Bruce, Benjamin, Silva, Diogo Oliveira e, Stovall, Betsy

论文摘要

在本文中,我们建立了有条件和无条件的新不平等,以在三个维度上与双曲线或单声层的双曲线相关的限制问题,并具有Lorentz-Invariant措施。这些不等式是双线性范围$ q> \ frac {10} {3} $的无条件(和最佳)。

In this article we establish new inequalities, both conditional and unconditional, for the restriction problem associated to the hyperbolic, or one-sheeted, hyperboloid in three dimensions, endowed with a Lorentz-invariant measure. These inequalities are unconditional (and optimal) in the bilinear range $q > \frac{10}{3}$.

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