位势的Lebesgue分解  

LEBESGUE DECOMPOSITION OF POTENTIALS

作　　者：章逸平[1] 

机构地区：[1]武汉大学

出　　处：《数学杂志》1995年第3期352-358,共7页Journal of Mathematics

基　　金：国家自然科学基金

摘　　要：本文在公理位势理论的框架下，通过对位势锥中的特殊序的研究，得到位势的Ｌｅｂｅｓｇｕｅ分解．Consider a ■-harmonic space With a countable base on which 1 is superharmonic .Let P'de-note the band of potentials Which are the sum of a family oh finite continuous potentials. We showthe following theorem:Given p,q∈P’,q can be written uniquely as sum of potentials q_a and q_ssuch that q_a<<p and q_s⊥p,where“<<”and“⊥”are defined by using the specific multiplication ofpotential by a function and are characterized by the specific order.

关 键 词：位势 勒贝格分解 调各函数 位势锥 

分 类 号：O174.3[理学—数学]