论文标题
$ M $ -Subharmonic功能和Hölder连续性的正则化
Regularization Of $m$-subharmonic Functions And HÖlder Continuity
论文作者
论文摘要
我们使用sup-convolution在紧凑的kähler歧管上找到有界$ m $ m $ subharmonic函数的上近似值，具有非负性全态双态曲率。作为一个应用程序，当右侧侧面$ l^p $，$ p> \ frac {n} {m} $时，我们将解决方案的Hölder连续性与$σ_M$方程式显示。所有这些结果都推广到更一般的复杂的Hessian方程。
We use sup-convolution to find upper approximations of a bounded $m$-subharmonic function on a compact Kähler manifold with nonnegative holomorphic bisectional curvature. As an application, we show the Hölder continuity of solutions to $σ_m$ equation when the right hand side is in $L^p$, $p>\frac{n}{m}$. All these results generalize to more general complex Hessian equations.
