**On some classes of ω-plurisubharmonic functions on compact Kähler manifolds **

* Nguyen Van Phu, Vu Viet Hung *

**Abstract**

In this paper we establish a relation between classes of *ω*-plurisubharmonic functions _{loc}(*X*,*ω*) introduced and investigated by Guedj and Zeriahi (J. Funct. Anal., 250:442–482, 2007) and Cegrell (Acta Math., 180:187–217, 1998; Ann. Inst. Fourier (Grenoble), 54:159–179, 2004), respectively, on a compact Kähler manifold *X*. We show that