位势的Lebesgue分解

LEBESGUE DECOMPOSITION OF POTENTIALS

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.