论文标题
为什么$ j $ -Holomorphic曲线在$ C^k $中失败
Why bootstrapping for $J$-holomorphic curves fails in $C^k$
论文作者
论文摘要
我们提供了一个简单的示例，说明calderón-zygmund估算$ \ bar {\ partial} $ - 运算符时，当sobolev $（k，p）$ - 规范被$ c^k k $ -norms替换。在椭圆形的引导，弗雷姆理论和$ j $ holomorphic曲线的规律性的背景下讨论了这个示例。
We present a simple example for the failure of the Calderón-Zygmund estimate for the $\bar{\partial}$-operator when the Sobolev $(k,p)$-norms are replaced by the $C^k$-norms. This example is discussed in the context of elliptic bootstrapping, Fredholm theory, and the regularity of $J$-holomorphic curves.
