次调和函数的等价定义及其相关推论  

The Equivalent Statement of the Subharmonic Function and its Related Corollaries

作　　者：迟明月 邬昊然 CHI Ming-yue;WU Hao-ran(College of Mathematics,Baicheng Normal University,Baicheng 137000,China)

机构地区：[1]吉林师范大学数学学院,长春130000

出　　处：《白城师范学院学报》2018年第8期6-9,共4页Journal of Baicheng Normal University

摘　　要：在单复变情形中,调和函数局部地为某解析函数的实部;而单复变次调和函数是调和函数的推广,并且次调和函数是解析函数论中的一个重要概念.为此,根据调和函数和次调和函数的概念,对次调和函数作了进一步的研究与讨论,并用次调和函数的定义与等价定义对次调和函数的一些重要推论进行了证明.In the case of a single complex variable, the harmonic function is locally the real part of an analytic function; the single complex variable subharmonic function is a generalization of the harmonic function, and the subharmonic function is an important concept in the analytic function theory. For this reason, according to the concept of harmonic function and subharmonic function, the subharmonic function is further studied and discussed, and some important properties of the subharmonic function are proved by the definition and equivalent definition of the subharmonic function.

关 键 词：调和函数 次调和函数 上半连续 

分 类 号：O174[理学—数学]