On $$\varvec{m}$$ m -Subharmonic Ordering of Measures

Abstract

Abstract.We study an order-relation induced by m-subharmonic functions. We shall consider maximality with respect to this order and a related notion of minimality for certain m-subharmonic functions. This concept is then applied to the problem of convergence of measures in the weak*-topology, in particular Hessian measures.Mathematics Subject Classification. 32U15, 32U99, 06F99.