%0 Journal Article
%T Quasi superharmonic functions in Brelot spaces
%A M. G. Al-Akhrass
%J International Journal of Mathematical Analysis
%D 2013
%I 
%X The concept of quasi superharmonic function, in terms of Jensenmeasures, in Brelot spaces is introduced. A characterization of quasisuperharmonic functions in Brelot spaces in terms of harmonic measuresis given. We show that a lower semicontinuous regularization of a quasisuperharmonic function is superharmonic function. Moreover, we showthat a quasi superharmonic function in Brelot spaces equals to its lowersemicontinuous regularization out side of a polar set.
%K Brelot space
%K quasi superharmonic functions
%K harmonic measures
%K Jensen measures
%U http://www.m-hikari.com/ijma/ijma-2013/ijma-1-4-2013/alakhrassIJMA1-4-2013.pdf