蠕虫域上dbar的规律性
Regularity of dbar on worm domains
摘要：
在无界蠕虫域上构造了$\bar{\partial}$ -方程的解算子$D_β$ .正则性估计证明了该算子保持了数据的正则性。该算子可以被看作是$W^s(D_β)$的适当子空间之间的连续映射，其取决于域的旋转不变性。
英文摘要：
A solution operator to the $\bar{\partial}$-equation is constructed on unbounded worm domains, $D_β$. Regularity estimates are proven showing the operator preserves regularity of the data. The operator may be viewed as a continuous mapping among appropriate subpaces of $W^s(D_β)$, which depend on a rotational invariance of the domains.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
