论文标题
在$ s_ {0,0} $的双线伪划分运算符的范围
On the ranges of bilinear pseudo-differential operators of $S_{0,0}$-type on $L^2 \times L^2$
论文作者
论文摘要
在本文中,$ s_ {0,0} $ - $ l^2 \ times l^2 $键入be s_ {0,0} $的双线伪差异操作员的范围是在besov空间的框架中确定的。我们的结果将$ l^2 \ times l^2 \提高到l^1 $的界限,这些操作员在biinearhörmanderclass $ bs $ bs^m_ {0,0,0} $中具有符号。
In this paper, the ranges of bilinear pseudo-differential operators of $S_{0,0}$-type on $L^2 \times L^2$ are determined in the framework of Besov spaces. Our result improves the $L^2 \times L^2 \to L^1$ boundedness of those operators with symbols in the bilinear Hörmander class $BS^m_{0,0}$.