Some results on Complex m-subharmonic classes
Abstract
In this paper we study the class Em() of m-subharmonic functions introduced by Lu in L1. We prove that the convergence in m-capacity implies the convergence of the associated Hessian measure for functions that belong to Em(). Then we extend those results to the class Em,() that depends on a given increasing real function . A complete characterization of those classes using the Hessian measure is given as well as a subextension theorem relative to Em,().
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