Extremizers for the Airy–Strichartz inequality
Extremizers for the Airy–Strichartz inequality
复制标题
艾里-斯特里夏茨不等式的极端化者
作者：
R. Frank;Julien Sabin
我们将艾里-斯特里哈兹不等式的优化序列的紧性阈值确定为斯特里哈兹不等式中尖锐常数的显式倍数。特别地，如果Ary-Strichartz不等式中的尖端常数严格小于Strichartz不等式中尖端常数的这个倍数，则前者存在优化器。我们的结果在对角线和非对角线情况下都适用于所有的Ary-Strichartz不等式(端点除外)。
We identify the compactness threshold for optimizing sequences of the Airy–Strichartz inequality as an explicit multiple of the sharp constant in the Strichartz inequality. In particular, if the sharp constant in the Airy–Strichartz inequality is strictly smaller than this multiple of the sharp constant in the Strichartz inequality, then there is an optimizer for the former inequality. Our result is valid for the full range of Airy–Strichartz inequalities (except the endpoints) both in the diagonal and off-diagonal cases.
Strichartz 范数的热流单调性
影响因子：
2.2
作者：
Bennett J
通讯作者：
Bennett J