紧集上的多重次调和函数  

Plurisubharmonic Functions on Compacta

作　　者：严荣沐[1] 

机构地区：[1]厦门大学数学系

出　　处：《厦门大学学报（自然科学版）》1999年第3期334-336,共3页Journal of Xiamen University：Natural Science

基　　金：福建省自然科学基金;厦门大学校级基金

摘　　要：为了研究紧集上多重次调和函数的性质，通过定义直接证明或通过与开集上多重次调和函数的关系将问题转化．结果为紧集上多重次调和函数与单调递增的凸函数的复合仍是多重次调和函数；连续多重次调和函数的拉回仍是多重次调和函数；多重次调和函数可被强多重次调和函数逼近等．In order to study the properties of plurisubharmonic function on compacta, the author prove the results by the definition or the relation with plurisubharmonic function on open sets. It is shown that the composition of a plurisubharmonic function on compacta with an increasing convex function is also a plurisubharmonic function; the pullback of a continuous plurisubharmonic function is still a plurisubharmonic function, a plurisubharmonic function can be approximated by a sequence of strongly plurisubharmonic functions, etc. Therefore, there are many similar properties between plurisubharmonic functions on compacta and those on open sets.

关 键 词：多重次调和函数 极限簇集 紧集 次调和函数 

分 类 号：O174.3[理学—数学] O174.56[理学—基础数学]