论文标题
m-subharmonic和m-plurisubharmonic功能 - 关于sadullaev的两个问题
m-subharmonic and m-plurisubharmonic functions -- on two problems of Sadullaev
论文作者
论文摘要
我们表明，$ A $ -M $ M $ -Subharmonic和$ b $ -M $ -M $ -Subharmonic功能的空间在足够高的尺寸上有所不同。我们还证明，Monge-ampère类型运算符$ \ MATHCAL M_M $与$ M $ - Plurisubharmonic函数相关的空间相关的功能不允许进行积分比较原则，除了经典案例$ M = 1 $和$ M = N $。这些在负面的两个问题中的答案。
We show that the spaces of $A$-$m$-subharmonic and $B$-$m$-subharmonic functions differ in sufficently high dimensions. We also prove that the Monge-Ampère type operator $\mathcal M_m$ associated to the space of $m$-plurisubharmonic functions does not allow an integral comparison principle except in the classical cases $m=1$ and $m=n$. These answer in the negative two problems posed by A. Sadullaev.
