论文标题
具有有限$(P,M)$ - Energy的功能的退化复杂的Hessian方程的表征
A characterization of the degenerate complex Hessian equations for functions with bounded $(p,m)$-energy
论文作者
论文摘要
通过证明$(ω,m)$ - 谐波功能的估计值,我们获得了Sobolev类型的不平等,然后用来表征具有有限$(P,M)$ - 能量的此类功能的退化复杂的Hessian方程。
By proving an estimate of the sublevel sets for $(ω,m)$-subharmonic functions we obtain a Sobolev type inequality that is then used to characterize the degenerate complex Hessian equations for such functions with bounded $(p,m)$-energy.