论文标题
关于双线性伪差异操作员的评论
A remark on bilinear pseudo-differential operators with symbols in the Sjöstrand class
论文作者
论文摘要
在简短的说明中，我们考虑了双线性伪差异操作员，其符号属于Sjöstrand类。我们表明，这些运营商与$ l^2 $的Sobolev Spaces的产品界限$ h^{s_1} \ times h^{s_2} $ to $ l^r $ for $ s_1，s_2> 0 $，$ s_1+s_1+s_1+s_1+s_2+s_2 = n/2 $，以及$ 1 \ 1 \ leq r \ leq r \ leq leq leq leq leq leq leq leq 2 $。
In this short note, we consider bilinear pseudo-differential operators with symbols belonging to the Sjöstrand class. We show that those operators are bounded from the product of the $L^2$-based Sobolev spaces $H^{s_1} \times H^{s_2}$ to $L^r$ for $s_1,s_2 > 0$, $s_1+s_2=n/2$, and $1 \leq r \leq 2$.
