论文标题
在一张单曲的倍曲底上存在极端限制性不平等的极端物质
Existence of extremals for a Fourier restriction inequality on the one-sheeted hyperboloid
论文作者
论文摘要
我们证明了端点$ l^2 $ to $ l^4 $ axpoint傅立叶限制不平等的函数的存在,在欧几里得空间中的一张单曲的双粘性$ \ mathbb {r}^4 $上,并且考虑到对应关系,任何极端序列都会转换为极端器。
We prove the existence of functions that extremize the endpoint $L^2$ to $L^4$ adjoint Fourier restriction inequality on the one-sheeted hyperboloid in Euclidean space $\mathbb{R}^4$ and that, taking symmetries into consideration, any extremizing sequence has a subsequence that converges to an extremizer.