论文标题
Sobolev空间中的反向叠加估计值
Reverse superposition estimates in Sobolev spaces
论文作者
论文摘要
我们研究均质$ u $的规范在同质的sobolev space $ \ dot {w}^{s,p}(\ mathbb {r}^n,\ mathbb {r}^m)$,带有$ p \ ge 1 $和$ s = 1 $ s = 1 $或$ s> 1/p $ contry的contry contry contress的contrip contress的contriptiation。
We study when and how the norm of a function $u$ in the homogeneous Sobolev spaces $\dot{W}^{s, p} (\mathbb{R}^n, \mathbb{R}^m)$, with $p \ge 1$ and either $s = 1$ or $s > 1/p$, is controlled by the norm of composite function $f \circ u$ in the same space.