AI 中文总结
本文解决了Coman-Guedj-Zeriahi提出的关于紧复流形上多重次调和函数限制的问题，在紧厄米特流形上给出了肯定答案。
AI 中文摘要
设$(X,\boldsymbol{\beta})$为紧凯勒流形，$V\boldsymbol{\beta}X$为闭复子流形，Coman-Guedj-Zeriahi提出问题：$V$上每个$\boldsymbol{\beta}|_V$-多重次调和函数是否为$X$上$\boldsymbol{\beta}$-多重次调和函数的限制？本文在紧厄米特流形上正面解决了该问题。
英文摘要
Let $(X,ω)$ be a compact Kähler manifold and let $V\subset X$ be a closed complex submanifold. Coman-Guedj-Zeriahi proposed the problem: is every $ω|_V$-plurisubharmonic function on $V$ the restriction of an $ω$-plurisubharmonic function on $X$? In this paper, we solve this problem affirmatively, even for a compact Hermitian manifold.
Comments9 pages, comments welcome
