论文标题
$ \叠加{\ partial} $的确切序列和估计值 - 问题
Exact sequences and estimates for the $\overline{\partial}$-problem
论文作者
论文摘要
我们通过构建与环形相对于信封和孔的形式的Sobolev空间相对于sobolev sobolev sobolev sobolev空间的精确序列，研究了$ \ cx^n $ Annuli对Annuli的cauchy-riemann方程的溶液的Sobolev估计。我们还使用我们的方法在Sobolev空间中获得了具有预先支持和估计值的解决方案。
We study Sobolev estimates for solutions of the inhomogenous Cauchy-Riemann equations on annuli in $\cx^n$, by constructing exact sequences relating the Dolbeault cohomology of the annulus with respect to Sobolev spaces of forms with those of the envelope and the hole. We also obtain solutions with prescibed support and estimates in Sobolev spaces using our method.
