论文标题
操作员的研究$ \ partial^{k} \ bar {\ partial}^{k} + c $在加权希尔伯特空间中
Study of the operator $\partial^{k} \bar{\partial}^{k} + c$ in the weighted Hilbert space $L^2(\mathbb{C}, {\rm e}^{-\vert z \vert^2})$
论文作者
论文摘要
由Hörmander's$ l^2 $ -Method，我们研究操作员$ \ partial^k \ bar {\ partial}^{k}^{k} + c $对于任何订单的$ k $，在加权的hilbert space $ l^2（\ mathbb {c}，{c}，{\ rm e}^ - \ \ \ vert z^2（$ n）我们证明其正确的逆巫婆的存在也是一个有限的操作员。
By the Hörmander's $L^2$-method, we study the operator $\partial^k \bar{\partial}^{k} + c$ for any order $k$ in the weighted Hilbert space $L^2(\mathbb{C}, {\rm e}^{-\vert z \vert^2})$. We prove the existence of its right inverse witch is also a bounded operator.
