论文标题
$ \ bar {\ partial} $的亚细估计 - 与孤立奇异性的复杂代数表面上的问题
Subelliptic estimates for the $\bar{\partial}$-problem on complex algebraic surfaces with isolated singularities
论文作者
论文摘要
我们获得了$ \ bar {\ partial} $ - 与零件奇异性嵌入在$ \ mathbb {c}^n $中的复杂代数表面上的$ \ bar {\ partial} $的次胎估计。 $W^ε$ Sobolev norms of a form, $f$, for $0< ε< 1$ are estimated in terms of weighted $L^2$ norms of $\bar{\partial} f$ and $\bar{\partial}^{\ast}f$, with weights which vanish at the singularities, as well as weighted $L^2$ norms of $f$, with weights which blow在奇异之处。
We obtain subelliptic estimates for the $\bar{\partial}$-problem on complex algebraic surfaces embedded in $\mathbb{C}^n$ with isolated singularities. $W^ε$ Sobolev norms of a form, $f$, for $0< ε< 1$ are estimated in terms of weighted $L^2$ norms of $\bar{\partial} f$ and $\bar{\partial}^{\ast}f$, with weights which vanish at the singularities, as well as weighted $L^2$ norms of $f$, with weights which blow up at the singularities.
