论文标题
在轻锥上与奇异性的分数整合
Fractional integration with singularity on the light-cone
论文作者
论文摘要
我们研究了一个卷积运算符家族，其符号和内核在$ \ mathbb {r}^{n+1} $中具有奇异性。首先，我们证明了所需的$ {\ bf l}^p \ to {\ bf l}^q $ norm不等式，它已被打开。此外，我们获得了负顺序的锥乘数问题的某些尖锐的规律性结果。
We study a family of convolution operators whose symbols and kernels have singularity on the light-cone in $\mathbb{R}^{n+1}$. First, we prove a desired ${\bf L}^p\to {\bf L}^q$ norm inequality which has been left open. Moreover, we obtain certain sharp regularity results for the cone multiplier problem of negative order.
